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    Published By: Journal Of Ballistics

    CN 32-1343/TJ

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  • FU Yu;SONG Wenyan;WANG Qiuyin
    . 2024, 36(01): 1-9.
    The propulsive performance of a high Mach-number combined cycle engine aircraft(CCEA)operating in a wide flight-range is affected by the flight conditions/attitude and mode transition,which further affects the flight mission performance. In order to evaluate the mission performance of the combined cycle engine aircraft as real and fast as possible,a fast evaluation method of the combined power aircraft mission-performance considering the mode transition was proposed,and the effects of different flight envelopes and different mode transition intervals on the flight mission performance were quantitatively studied. Firstly,the flight dynamics model of high Mach-number aircraft was established,and the flight attitude was taken into account in the mission analysis. Then the calculation model of non-installed and installed performance of the combined cycle engine was established,which can simulate the performance of the engine in real time in the flight envelop. Finally,a modal transition simulation model was established to analyze the effect of modal transition process on flight performance. The results indicate that the cruising altitude of the studied CCEA with Mach number of 5 increases from 20 km to 27 km,and increases by 18.3%. The total range increases by 21.9%. Furthermore,the modal transition interval shifts from low Mach numbers(Ma=2-2.3)to high Mach numbers(Ma=2.2-2.5). The climbing acceleration distance increases by 8.4%; the climbing acceleration time increases by 5.8%.
  • CHEN Jun
    . 2024, 36(03): 19-24.
    点火过程是内弹道的初始阶段,但由于点火过程的复杂性以及点火机理仍然不完善,点火过程始终不能与内弹道有机结合,使得目前工程上的内弹道计算只能忽略点火过程而直接选择点火压强作为计算初始点。以零维内弹道理论为基础,建立了点火过程3个阶段,即点火诱导期、火焰传播期和充气期的简化理论模型,可以与零维内弹道有机结合,从而完成了内弹道从环境压强(而不是点火压强)开始计算的完整过程。通过实例计算与验证,该模型能够很好展示在点火阶段燃烧室压强的建立过程,并可以计算得到点火延迟时间、火焰传播时间、点火药流量等点火参数,具有较高的预示精度,满足工程计算要求。研究表明,建立的点火过程理论模型与传统零维内弹道一样计算简便快捷,并具有较好精度的工程应用化特点。研究结果对于完善固体火箭发动机内弹道理论、提高固体火箭发动机内弹道预示精度,均具有重要的实际应用意义。由于采用了简化的点火过程理论模型,该结果不能直接用于点火性能的研究,只能用于零维内弹道性能的预估与计算。
  • PEI Pengchao,CAO Bin,GE Xia,WANG Dongdong
    . 2024, 36(02): 105-110.
    During the electromagnetic launching process,the high speed sliding electrical contact about armature-rail is closely related to the accuracy of the rail spacing. Accurate measurement about the rail spacing can effectively guide the design of armature and researching for the matching about armature-rail. According to the cross-sectional,irregularly shaped characteristics,and the changing shape of the railgun. An high-precision measurement method for spacing size was proposed based on the angular bisector characteristic. In this method,the spatial position of two rails was divided into two segments that interest at a certain degree. The angular bisector was adopted as the measurement reference,and a measurement points were taken. The perpendicular lines of the two rails were drawn through the measurement point. The line connecting the two perpendicular feet was defined as the orbital spacing value. Through prototype design,comprehensive system error analysis,and comparative verification,a certain caliber railgun spacing engineering measurement was carried out. The results show that the measurement error is ≤0.05 mm,which satisfies the accuracy requirements. By obtaining accurate data of the rail spacing,an indispensable measurement method can be provided for numerical modeling,assembly process,and performance testing about electromagnetic launch devices.Thereby promoting the engineering application of railgun weapons.
  • YU Yonggang
    . 2024, 36(03): 1-11.
    From the development trend of modern artillery and ammunition technology,the problems faced by the internal ballistics of artillery were analyzed. The development direction of internal ballistics theory and technology is mainly reflected in three aspects. The first aspect is to improve the combat effectiveness of conventional solid propellant artillery. The second aspect is to develop internal ballistics theory and control technology that is matched with the launch methods of special ammunition such as guided munitions. The third aspect is to study the internal ballistic theory and control technology of new energy artillery. On this basis,combined with the research status at home and abroad,several key issues were reviewed,proposing research strategies.
  • FENG Xudong;XING Yao;WANG Jiongqi;HE Zhangming;ZHOU Xuanying
    . 2024, 36(01): 85-96.
    In order to identify the systematic error of multi-beacon long baseline(LBL)positioning and improve the positioning accuracy,an underwater positioning model of multi-beacon LBL system was constructed aiming at the situation that the target is installed with multiple beacons and the target size cannot be ignored. Further,aiming at the sound speed error and the time of arrival(TOA)error existing in the acoustic measurement data systematic error,based on the multi-beacon LBL system positioning model,several systematic error identification models were constructed. According the underwater target positioning process,the TOA residual was analyzed,and the optimal test statistic of the systematic error identification model was derived,and the optimal selection criterion of the systematic error identification model was given to realize the effective estimation of underwater target position parameters and systematic error. The simulation results show that the optimal model selection criterion can effectively select the appropriate systematic error identification model,and then improve the accuracy of LBL system for positioning the underwater target. Therefore,the systematic error identification method of multi-beacon LBL positioning system based on optimal model selection proposed can provide theoretical support and valuable reference for the underwater target positioning test.
  • SHAN Jixiang;ZHAO Ping;HE Yanru;YANG Xin
    . 2024, 36(01): 10-17.
    The structure thermal response characteristics on typical meridian of the reentry warhead with fixed flying attack-angle and the effects of the roll attitude change time on the structure thermal response on typical meridian plane were studied by the coupling calculation method of the aerodynamic heating environment and structure thermal response. The heat-shield thickness optimization method considering the effect of roll attitude change times was built, and the heat-shield thickness of the warhead was optimized based on this optimization method. The effect of the body rolling numbers on the optimization results was researched. The results show that the aerodynamic heating on the shell surface is more reasonable,and the maximum temperature rise of the inner surface is effectively reduced by changing the roll attitude in the forepart of the flying trajectory. When the maximum temperature rise of the inner surface is 25 K,the thickness of heat-shield can be reduced by 0.725 mm(5.4%)compared with the condition without rolling movement. The heat-shield thickness can be effectively reduced by the joint optimization with the roll attitude change time. Compared with single rolling movement change,the decrease extent of heat-shield thickness increases by 1.9% considering twice rolling movement. The number of the rolling movement change has a small effect on optimization result.
  • PEI Pengchao;CAO Bin;WANG Puyi;GE Xia;WANG Dongdong
    . 2024, 36(01): 35-40.
    The assembly accuracy of electromagnetic rail-gun barrel directly affects the sliding electrical contact state of the central rail during the launch process. To analyze the impact of barrel assembly accuracy on the dynamic launch of the armature,typical changes in barrel spacing were extracted based on the measured values of barrel spacing,and a dynamic model of armature internal ballistic launch under typical shapes was established. The impact of barrel size changes on the force and vibration of the armature during the launch process was theoretically analyzed. The theoretical analysis conclusions were verified through dynamic launch tests under real working conditions and static sliding contact tests on the pivot rail. The research results indicate that the random variation of bore spacing can lead to asymmetric contact between the armature and the track during the launch process. When the bore spacing decreases,the contact area between the armature and the track will undergo a process of increasing from small to large. This process is beneficial for increasing the contact area between the armature and the track. As the bore spacing increases,the contact area between the armature and the track gradually decreases,causing excessive current to flow through the local area. When the assembly accuracy error of the bore exceeds 0.2 mm,the caused fluctuation in the spacing between the inner chambers can lead to uneven force distribution on the armature during the launch process,and also generate lateral additional vibration on the armature,which is one of the main reasons for the high-speed movement and disintegration of the armature chamber. Analysis on the impact of gun bore assembly accuracy on the armature launch process is of great significance for effectively guiding the design of armature rail matching and promoting the future engineering application of electromagnetic guns.
  • YAN Chen;YU Hongtao;LEI Ruoqi;WANG He;ZHANG Xiaojing
    . 2024, 36(01): 63-69.
    Based on the mechanism of explosive reactive armor and concentrated energy jet,the interference effect of a new type of reactive armor on metal jets was studied. The comprehensive research was carried out by theoretical analysis,numerical simulation and experimental verification methods. The three-dimensional numerical simulation software ANSYS/LS-DYNA was used,and the control variable method was used to simulate the penetration of specific structural reactive armor under the conditions of different normal-angles. The penetration process was analyzed. The effective cutting length of the reactive armor on metal jet,the remaining penetration speed of metal jet,and the remaining penetration speed of metal jet under different normal angle conditions were obtained. The data on the variation of interference effects such as the movement speed of the reaction armor panel and backboard over time,can be used to observe the flight status of the reaction armor panel and backboard,as well as the jet shape after interference. Based on the obtained data,curve graphs and penetration results,combined with relevant interference theory,an analysis was conducted to obtain the variation patterns of interference parameters such as the effective interference length of the panel and backplate on the jet,the maximum velocity of the panel and backplate,and the remaining penetration velocity of the jet. Comparative analysis shows that as the normal angle increases,the effective interference length of the panel and backplate gradually increases. Under the normal angle of 70°,compared to the normal angle of 0°,the effective cutting length range of the backplate metal jet is increased by 368%. The residual penetration velocity of the jet decreases with the increase of the normal angle. When normal angle ranges from 50° to 70°,the residual penetration velocity of jet decreases the most. As the normal angle increases,the jet is more strongly affected by the interference of reactive armor.
  • YU Jian,ZHANG Lu,HE Jun,CHEN Zhe,ZHANG Siwei,LI Yunfeng,QIN Peiwen
    . 2024, 36(03): 32-39.
    The issue of abnormal high initial-pressure inside the launch tube in a small-scale ejector was discussed. A calculation method based on a zero-dimensional internal-ballistics model was proposed,considering the combustion heat-release reaction of the rich gas,and the method has the advantages of simple principles,small calculation amount and fast calculation speed. A calculation program was developed using the Matlab. The effectiveness and accuracy of the numerical model were validated by comparing with ejection test results. Based on the above research,the phenomena of secondary combustion in the launch tube were further studied. The study shows that the time-curves of the pressure of launch tube and the acceleration of missile exhibit obvious double-peak effects whether secondary combustion occurs or not. Additionally,the secondary-combustion effect not only significantly increases the peak value of the first peak but also leads to a decrease in the peak value of the second peak. Furthermore,a sharp drop of pressure in the launch tube to a low value occurs after the peak value of the first peak,and the secondary-combustion effect also significantly affects the ejection velocity and the missile ejection-time. Further research shows that by increasing the initial volume of the launch tube and reducing the rich gas content,the effect of secondary combustion on the low-pressure chamber pressure and missile acceleration can be reduced. This study provides theoretical support for the design of internal ballistics in ejector system,and has a certain degree of universality and reference value.
  • SHENG Qiang,MENG Fanlin,ZHANG Xianfeng,LIU Chuang
    . 2024, 36(03): 91-100.
    To investigate the dynamic response characteristics of penetration warhead under impact load,the simulation of warhead penetrating into a semi-infinite concrete target was conducted using the projectile-target separation method. The dynamic response of the warhead under different charge and shell head-curve-ratios,velocities,and sizes was analyzed. The results indicate that the deceleration peak of charge is higher than that of warhead shell. The deceleration peaks and deformation of the charge are positively correlated with the head curve ratio of charge. The deformation of the charge caused by stress wave is primarily concentrated on its end face and at the transition between the head and cylinder section. Increasing the head curve ratio(CRHS)of the warhead shell reduces deceleration peaks for both the shell and charge,as well as their maximum overload difference. Specifically,the maximum plastic strain of the charge at CRHS=4 is about 29% of that at CRHS=2,with a significant reduction in high strain area. The initial velocity of penetration mainly affects the overload amplitude. Furthermore,an increase in initial velocity results in higher overload and plastic deformation for both the shell and charge. Overload,penetration depth and stress amplitude adhere to similarity laws for different warhead-sizes,without considering factors such as concrete aggregate size and strain rate. However,larger warhead size results in more severe plastic-deformation of charge.
  • LIU Chen,LV Xujian,LI Shengnan,WANG Xu
    . 2024, 36(02): 90-97.
    Experimental study of two tandem cylinders entering the water obliquely was carried out based on high-speed camera in this paper. Cavitation evolution characteristics and movement characteristics of the tandem cylinders were analyzed. The results show that when the time interval is 3.5ms,cylinder Ⅱ(the front cylinder)enters the cavity of cylinderⅠ(the later cylinder)after entering the water,and collides with cylinderⅠ. According to the principle of independent expansion,cylinderⅠundergoes instantaneous acceleration after being impacted,resulting in rapid expansion of cavity in the cross-section at the impact location,forming a nested cavity. The collision disrupts the stability of two cylinders,causing them to flip over in the water. When the time interval increases to 10.2-31.8 ms,cylinder Ⅱ enters the cavity of cylinderⅠafter entering water without colisding with the cylinderⅠ. Cylinder Ⅱ enters water again after penetrating the cavity wall of cylinderⅠ. The resistance to the motion of cylinder Ⅱ in the cavity is significantly lower than that in water,so cylinder Ⅱ has good speed storage performance. When the time interval is 48.2 ms,the tail of the cavity of cylinderⅠdrifts up significantly with the effect of buoyancy. The repulsion between the cavity walls of two cylinders causes the trajectory of cylinder Ⅱ to shift under pressure,and cylinder Ⅱ does not enter the cavity of cylinderⅠafter entering the water. The movement characteristics of the cylinder Ⅱ after entering the water are similar to that of a single cylinder,indicating that the disturbance of the flow field after the cylinderⅠenters the water has little effect on the cylinder Ⅱ. However,as the cylinders move downward,the interaction between the cavity of cylinderⅠand that of cylinder Ⅱ affects the attitude of the cylinder Ⅱ moving in the water.
  • ZHANG Feng;XU Han;WENG Chunsheng;LUO Yongchen;XIAO Bowen;NI Xiaodong;ZHENG Quan
    . 2024, 36(01): 41-49.
    The mixing state of the powder in the constant volume bomb and the engine combustion chamber has a large impact on the powder detonation characteristics,so it is urgent to study the injection and mixing characteristics of the powder in a limited space,which helps to decide the appropriate ignition time for two-phase detonation. A constant-volume bomb system was built to observe the blending process of the flake anthracite pulverized coal in the constant-volume bomb through a high-speed photographic monitoring system,and post-process of the high-speed photographic images was carried out,and the change of pulverized coal blending in the constant-volume bomb was analyzed. A method for analyzing the curvature of the standard deviation of the gray value was established for the pulverized coal injection blending images. The initial moment when the curvature of standard deviation tends to zero is the best moment for the uniform mixing of pulverized coal,which can be selected as the best ignition time point,and the moment decided by this method coincides with the moment decided by the frame-by-frame analysis of the high-speed photographic images. The experiments were carried out at pulverized coal concentrations of 120 g/m3,210 g/m3 and 300 g/m3,and the standard deviation curvature analysis method of grayscale image was used to analyze. The experimental results show that,while keeping the pulverized coal concentration constant,the well-mixed time decreases with the increase of the powder blowing time,and thus the ignition moment should be advanced; while keeping the powder blowing time constant,the well-mixed time increases with the increase of powder supply concentration,and thus the ignition moment should be delayed.
  • LIU Gang,ZHANG Yuying,JING Fengli
    . 2024, 36(03): 25-31.
    According to the demand of axial cold launch,an axial cold ejection device using high-pressure nitrogen as ejection energy was designed to avoid the pollution of the internal space of the platform. The structure composition,working principle and main design points of the axial cold ejection system were introduced. By using the ideal gas equation of state,mass and energy conservation equation and aerodynamics,the mathematical models were established for the high-pressure chamber,low-pressure chamber,valve port gas flow,and missile motion of the axial cold ejection system. In order to improve the separation speed and reduce the overload peak,based on the established mathematical models and the internal ballistics structural-parameters,VB language was used to program. Through simulation calculation and analysis,the main structural parameters of the ejection system such as cylinder initial pressure,volume,initial volume of low-pressure chamber,electromagnetic valve orifice,natural frequency,damping ratio and piston diameter,were studied to determine the impact on missile separation speed and launch overload. The influence of various structural-parameters change on the missile separation parameters was found,and the mechanism of the influence laws was analyzed. This study provides a theoretical basis for the optimization of the structural parameters of ejection system,and provides a theoretical reference and basis for the internal ballistics design of the same type of axial cold ejection launcher.
  • TANG Liang,LIU Xiangxiang
    . 2024, 36(03): 49-57.
    In order to overcome the question of large fluctuation of trajectory tracking accuracy due to complex external unknown interference in the trajectory tracking control process of six-freedom-degree quad-rotor UAV,a new-type cascaded double-closed-loop control strategy was proposed for velocity error,and position and attitude error. Firstly,the model predictive control(MPC)was used to project the velocity closed-loop controller,and the sparrow search algorithm(SSA)was applied to the rolling optimization process of MPC to obtain the feasible solution due to the fast convergence and strong robustness. In order to solve the large computation in MPC,sliding mode control(SMC)was used to design the dynamic controller according to position and attitude respectively. SMC is insensitive to external interference,robust and does not need accurate modeling,thus solving the problems of external uncertain interference and difficulty in accurately modeling UAV. The saturation function was used to replace the symbolic function to make the input of the actual system continuous,thus effectively reducing the high-frequency chattering phenomenon in SMC. Finally,the stability of the SSA-MPC controller was proved by Lyapunov stability theory. By the proposed method,the six-freedom-degree quad-rotor UAV can achieve high-precision trajectory tracking control under complex external unknown interference and uncertain parameters,and the trajectory tracking accuracy is obviously better than the UAV control system composed of traditional single controller. The proposed controller is effective for the trajectory tracking control of quad-rotor UAV under complex external unknown interference.
  • JIA Huaming,ZHANG Wenbo,WANG Wenqiang,LIU Naibin
    . 2024, 36(03): 58-66.
    The inflation process of parachute is the most critical step during the landing of the Mars probe. The model of computational fluid dynamics(CFD)and structural dynamics was built,considering low atmospheric-density and supersonic flow. The flow field was solved by using compressible flow-field model,and the structural dynamics was analyzed by using multi-node mass damped spring model of parachute system. The flow-field of the parachute was calculated,and the pressure field of canopy surface for the previous time step was imported to the multi-node mass damped spring model of parachute system. The canopy shape of the next time step was obtained,and the parachute shape and the flow field were obtained during the opening process. The test results and calculation results were analyzed comparatively,and the parachute inflation process was simulated under this condition. The numerical results are well consistent with the experiential results,so the mathematical model used is reliable. The results show that there is obvious vibration after the parachute-opening dynamic-load reaches the peak value,and the vibration frequency is only related to its own characteristics; the speed of the canopy opening is slow at first and then fast; under the same initial-speed,the peak value of the parachute-opening dynamic-load increases with the increase of atmospheric density; under the same initial dynamic-pressure,the peak value of the parachute-opening dynamic-load decreases with the increase of atmospheric density.
  • WANG Zhongyuan,SHI Jinguang,CHANG Sijiang,CHEN Qi,WANG Xugang
    . 2024, 36(04期): 1-10.
    Ballistics is one of the foundational disciplines in weapons science and technology,closely related to the development of weapons technology. With the rise and development of intelligent projectiles and rockets,the theory and technology of intelligent ballistics will be a major direction for the future development of exterior ballistics. Nevertheless,how to understand the concept,connotation,and functions of intelligent ballistics,as well as its differences from existing projectiles and rockets in terms of flight trajectories,the key technologies it relies on,the challenges involved,and the issues that should be considered for the subsequent development,are still under discussion. Based on the theory and technology of exterior ballistics and focusing on the future development of exterior ballistics,this article tends to analyze and organize the aforementioned issues with the aim of providing assistance for the future development of intelligent ballistics theory and technology. It should be noted that the development of intelligent ballistics theory and technology has introduced numerous new problems,concepts,terminologies and technologies for exterior ballistics,which require continuous exploration,refinement,and gradual perfection by researchers in the field of exterior ballistics through ongoing research. This article merely serves as a starting point,hoping to inspire more researchers in the field of exterior ballistics to engage in this area of study and gradually develop a theoretical framework.
  • Journal Of Ballistics. 2024, 36(3): 1-11.
  • Journal Of Ballistics. 2024, 36(2): 29-36.
  • Journal Of Ballistics. 2024, 36(2): 1-9.
  • WANG Guoping,WU Genyang,HE Bin,YANG Fufeng
    . 2024, 36(02): 1-9.
    As an important branch of electromagnetic launch technology,electromagnetic rail launch has significant advantages such as high launch speed and adjustable launch speed,and is regarded as one of the disruptive technologies that will change the style of future warfare. At present,electromagnetic rail launch technology still faces key bottlenecks such as low firing accuracy and short device life. These are closely related to the complex multi-domain coupled electrical,magnetic,thermal and force launch dynamics behavior involved in electromagnetic rail launcher. However,there is a lack of mature theoretical methods and technical tools for the analysis of system dynamics of electromagnetic rail launcher under extreme impact conditions at home and abroad. In response to the above situation,the corresponding research directions and needs comprehensive with recent domestic and international research progress in the dynamics theory and design methods of electromagnetic rail launcher from the aspects of dynamics modelling,performance prediction and optimization design was presented in this paper. With the engineering development of electromagnetic rail launcher,the dynamics modelling and simulation should consider the overall system factors of the launch environment,a rapid performance prediction and optimization design system for the launch dynamics of electromagnetic orbital launcher coupled with the launch environment should be developed,the basic scientific issues such as the vibration mechanism of electromagnetic orbital launcher coupled with the launch environment in multiple domains should be elucidated in details,and provides support for in-depth research on the dynamics and equipment development of electromagnetic rail launcher.
  • WANG Jinlong,DONG Zhaoqin,WANG Hou
    . 2024, 36(02): 53-58.
    To improve the response capability of large vertical overturning equipment,a new type of gas hydraulic hybrid actuator was designed. A mathematical model for the movement and change of the "concave" grain combustion surface at different combustion stages and a numerical calculation model for the internal ballistic of the gas-liquid hybrid actuator were established. To verify the accuracy of the numerical model,product development and experimental research were carried out for the gas-liquid hybrid power device. Through the matching design of the combustion surface of the "concave" grain,rapid pressure building and stable output control of the flow rate at different combustion stages were achieved. The accuracy of the internal ballistic numerical model established in this article and the reliability of the hybrid actuator system design were verified. On this basis,the influence of the design parameters of the "concave" grain on the working performance of the actuator was analyzed. The calculation results show that the output flow rate of the actuator and the response time are mainly related to the initial combustion surface and the thickness of the flesh during the increased combustion stage of the "concave" grain,and the overall height of the grain determined the working time of the actuator system. Under the calculation conditions of this article,for every 10 mm increase in groove diameter and grain height,the response speed,average output flow rate,and working time of the actuator increase by about 0.09 s,13 L/min,and 0.2 s,respectively. The research results provide a new power source and internal ballistic design method for the rapid deployment of large vertical devices.
  • LIU Yiman,CHEN Qi,CHANG Sijiang
    . 2024, 36(02): 37-43.
    To study the effect of heavy rainfall on the aerodynamic characteristics of gliding-guided projectiles,a model based on the Euler-Lagrange method with two-way momentum coupling,the Transition SST(shear stress transport turbulence model)and the MUSCL format with third-order accuracy were developed to calculate the aerodynamic properties of the projectiles under heavy rainfall. The results reveal that heavy rainfall creates an advective water film layer on the projectile surface,but the subsequent impact of raindrop particles on the surface results in craters forming and increasing surface roughness. The study shows that the rainstorm environment significantly impacts the lift and drag coefficients of the projectile,with a 27.39% increase in drag coefficient and an 18.09% decrease in lift coefficient observed when Ma=0.8 under a rainfall intensity of 2 200 mm/h. Additionally,the study shows that with an increase in rainfall intensity,the drag of the shell exhibits an initial increase,followed by a decrease,and then an increase again. However,this trend disappears as the projectile's flight speed increases while the lift coefficient decreases. These findings can aid in optimizing the performance of gliding-guided projectiles in adverse weather conditions. When the rain intensity remains unchanged and the projectile velocity reaches Ma=0.95,the drag coefficient increases by 32.29% and the lift coefficient decreases by 18.38%. When the projectile velocity reaches Ma=1.2,the drag coefficient increases by 21.76% and the lift coefficient decreases by 18.87%.
  • Journal Of Ballistics. 2024, 36(2): 82-89.
  • Journal Of Ballistics. 2024, 36(2): 98-104.
  • Journal Of Ballistics. 2024, 36(2): 59-64.
  • WEI Yimin,LI Shutian,YU Hailong,HE Bin
    . 2024, 36(02): 98-104.
    In order to achieve fast and accurate calculation of the exiting-water altitude of submarine launched missile,a model of ocean flow field and an exiting-water dynamics model of submarine launched missile were established in this paper. Based on which,the effect of cavitation phenomenon on the hydrodynamic characteristics of the missile was analyzed. The effects of missile velocity,ocean current velocity,wave height,and exiting-water phase on the missile exiting-water attitude were studied. The research results indicate that,the cavitation effect has a relatively minor impact on the missile attitude when the speed is less than 20 m/s during the exiting-water process. The action time of the wave forces on the missile is related to the launch velocity. The lower the missile velocity is,the more perturbation of the missile altitude is. The higher the ocean current velocity is,the more severe the disturbance to the missile attitude and the lateral deviation are. The wave height affects the amplitude of wave force and has a direct impact on the parameters of water outlet attitude. The larger the wave height,the greater the impact on the parameters of water outlet attitude. The initial phase and flow velocity of the outflow mainly affect the direction of motion of fluid particles,changing the additional inertial force of waves. The missile's outflow at the trough and peak positions has the greatest impact on the missile's attitude,and the wave node is between the two.
  • LIU Guang,YU Liujian,LI Weiwei,XU Bin,ZHANG Baogang,GE Zhishan
    . 2024, 36(02): 82-89.
    During the separation process of embedded-backward submunition,the bullet enters a semi-constrained state when the rear and middle hangings detach from the guideway. Therefore,the movement attitude of the bullet is significantly affected by the carrier vehicle. The contact collision between the hanging and the guideway,as well as the aerodynamic interference of the carrier vehicle on the bullet,have great influences on the separation process. In order to provide important theoretical support for the design of the submunition high-speed separation system and achieve safe separation of the submunition,a high-precision space-time numerical simulation security evaluation method of the high-speed separation for submunition were proposed. Based on the constructed aerodynamic response surface model and the variable-configuration variable-mass multibody dynamics model of the submunition,the multibody-aerodynamic fluid-structure coupling high-precision space-time numerical simulation platform for the variable-configuration variable-mass combination of the separation process for submunition was established. Different initial boundary conditions were applied to the fluid-structure coupling dynamics model and simulation was carried out to obtain the attitude parameter of the submunition separation process Then,the separation safety of the submunition dynamically evaluated,and the safety initial boundary conditions of the submunition separation was obtained. It can provide a quantitative design basis for formulating technical measures that are conducive to improving the safety of high-speed separation of submunition. Through simulation example and test,it is shown that the constructed high-precision space-time numerical simulation platform for high-speed separation of submunition has high accuracy and credibility. The research results provide important engineering value for the security design of high-speed separation for submunition.
  • WANG Yijin,YANG Guolai,LI Lei,WANG Liqun
    . 2024, 36(02): 74-81.
    The eddy current braking machines have the advantages of no liquid leakage,no sealing required,and stable resistance. Compared with the more widely used permanent magnet eddy current braking machine,hybrid excitation eddy current braking machine replaces part of the permanent magnet with a coil an achieves better resistance characteristics. In this paper,two possible structure of hybrid excitation eddy current braking machines was compared. Based on magnetic circuit analysis and preliminary calculations,the structure with better resistance performance was selected. Equivalent magnetic circuit method was utilized to calculate the air gap magnetic field and subdomain models were adopted to consider effects of induced eddy current. Then,an equivalent subdomain model was established for calculating the resistance value of hybrid excitation eddy current braking machines. According to the requirements of a certain caliber artillery recoil,the main dimensional parameters of the braking machine were determined,and the preliminary design of the structural parameters of hybrid excitation eddy current braking machines was obtained. The analytical calculation results were verified by numerical calculation. Based on the working conditions when a certain caliber artillery is fired,the chamber force curve and recoil stroke function curve of complex feed mechanism were adopted as input conditions. A simulation model was established to analyze the electromagnetic damping force,recoil displacement and recoil velocity of hybrid excitation eddy current braking machine under strong impact load. Finally,the influence of different air gap widths and inner cylinder conductivity on electromagnetic damping force is analyzed. The results show that the smaller the air gap width is,the larger the electromagnetic damping force is. Meanwhile,higher conductivity of the inner cylinder will lead to the electromagnetic damping force showing a“saddle”type. The research provides a theoretical basis for the engineering application of the hybrid excitation-type eddy-current braking machine.
  • ZHANG Kuanqiao;ZHANG Defeng;WANG Zhenxing;LIU Min
    . 2024, 36(01): 18-25.
    Aiming at designing the guidance law for attacking maneuvering targets with impact angle constraint,a guidance law with impact angle and convergence time control was proposed by using sliding mode control theory,arbitrary convergence time control method and disturbance observer. According to the relative motion relationship of the missile and the target,the state equation of guidance system considering impact angle constraint was constructed,and the target maneuver and modeling errors were regarded as the disturbance. The performance of the arbitrary convergence time control method in the case of interference was analyzed. The sliding mode control and disturbance observer were used to improve the robustness of arbitrary convergence time control method. The method was applied to the design of sliding mode surface and approach law,and the disturbance observer was used to estimate the system disturbance. Based on the sliding mode control theory combined with the state equation of the guidance control system,a sliding mode guidance law with convergence time and impact angle control was derived. Compared with the finite-time convergence guidance law,the convergence time and impact angle of the guidance law can be set directly without the calculation of guidance parameters. By setting up different target maneuvers,different impact angles and convergence times,numerical simulations under various cases were carried out. The results show that the proposed guidance law can control impact angle and convergence time effectively and hit the target accurately. At the same time,the guidance performance is better than that of the existing guidance law.
  • XU Meng;DU Zhonghua;LIU Yuheng;XU Lizhi;DONG Pengchao
    . 2024, 36(01): 70-77.
    In order to explore the penetration damage law of a circumferential multi-linear explosively-formed projectile(EFP)with red-copper as liner material,a red-copper EFP equivalent projectile with length-diameter ratio of 1:5 was fired by 25 mm-caliber gun. The damage law of the red-copper projectile penetrating Q235 steel was studied from two aspects(e.g,the impact speed of the red copper projectile from 1 000 m/s to 1 700 m/s and the impact angle from 0 to 70),and the penetration law of red-copper rod projectile was established. The Johnson-Cook constitutive-model parameters and fracture-failure parameters of red copper used in this experiment were fitted,and the accuracy of the simulation model was verified by the penetration test results. The results show that the Johnson-Cook constitutive-model parameters and fracture-failure parameters obtained from this tensile test can accurately describe the fracture failure behavior of red-copper during penetration. At 800-2 000 m/s,the penetration depth of copper EFP simulated-projectile increases linearly with the increase of penetration speed. When the impact angle of the projectile is 40,the deflection angle of the projectile reaches the maximum 6.35. When the impact angle of the projectile is between 10° and 30°,the penetration depth of the projectile can reach the maximum. This study can offer reference for the power design of circumferential multi-linear EFP warhead.
  • Journal Of Ballistics. 2024, 36(2): 53-58.
  • LIU Tianxiang,SHI Jinguang,ZHAO Xinxin,REN Huajie
    . 2024, 36(02): 29-36.
    To improve the aerodynamic ballistic performance of the gliding guided projectiles in the climbing phase and gliding phase and achieve significant range increasement,the gliding guided projectile with conventional fixed shape was designed with variable shape by combining the variable sweep and variable span of tail fins. Missile Datcom was used to calculate the aerodynamic parameters. The shape parameters of canards were adjusted with the span and sweep angle of tail fins deformation. Based on the NSGA-Ⅱ multi-objective optimization algorithm,the multi-objective optimization design of variable shape for the climbing phase and the gliding phase of the gliding guided shell was carried out. Then,the optimal shape schemes for each flight phase were finally obtained. In the climbing phase,the optimization objectives are the zero-lift drag coefficient and static stability margin of the projectile. While in the gliding phase,the optimization objectives are the lift-to-drag ratio and the maneuvering ratio of the projectile. The numerical simulation results show that the optimized variable shape scheme can significantly improve the aerodynamic and ballistic performances of the gliding guided projectile in each flight phase. The drag coefficient in the climbing phase is reduced by 13.3%,the lift-to-drag ratio in the gliding phase is increased by 36.1%. The optimized gliding guided projectile is table during the entire flight process,with good matching of stability,maneuverability,rudder deflection angle,and equilibrium angle of attack. Compared with the baseline fixed shape scheme,the range of the gliding guided shell with variable shape scheme under gliding control conditions is increased by 8.4%. The research provides a reference for the design of variable shape scheme of gliding guided projectile.
  • LIANG Lin,LI Xiang,PENG Songjiang,WANG Bingzhe
    . 2024, 36(03): 12-18.
    To study the mechanical response about rifling's steering side and band in engraving process,the motion,deformation of band and its mechanical mechanism during projectile engraving process were deduced based on the energy method,and the force relation between the rifling's steering side and band after engraving was analyzed according to the classical interior-ballistics theory,and the general expressions of the force on rifling's steering side during engraving process and after engraving were obtained. The influencing factors of the force on rifling's steering side were analyzed. Interior ballistics was simulated by using an elastic-plastic finite-element-method,and dynamic responses of the force on rifling's steering side were obtained under various operating conditions. The force on rifling's steering side,influence law of engraving velocity and angle of forcing cone were analyzed. The researches show that the force on rifling's steering side is positively correlated with engraving velocity and angle of forcing cone,and its trend of change is consistent with the bottom pressure of the projectile after engraving in. Within a certain range of velocity,the peak of the force on rifling's steering side during projectile engraving is much larger than that at the moment of maximum chamber-pressure,and the ratio of them shows a significant increasing trend as the engraving velocity increases. For the cased telescoped ammunition with longer free-travel-distance,the force is more complex in engraving process,so it's necessary to strengthen charge structure and optimize forcing cone to improve the barrel life. The calculation methods and conclusions mentioned can provide theoretical reference for projectile structure design and analysis of projectile-barrel matching.
  • LI Zhenzhen,YANG Yongliang,YANG Guitao,WANG Yajun, YANG Baoliang,ZHANG Dongjiang,GUO Rui
    . 2024, 36(03): 40-48.
    Flight stability has a direct and significant effect on the retention ability and target attitude of explosively formed projectile(EFP),and then affects the penetration power of EFP after long distance flight. In order to obtain an EFP configuration with low resistance and flight stability,a single-tail skirt EFP for supersonic flight(Mach 4-7)was proposed. The effects of structural parameters(tail skirt angle 0°-25°,tail skirt length to total length ratio 0.2-0.7,length-diameter ratio 3-7,solid length-total length ratio 0.2-1)on aerodynamic parameters such as lift coefficient,drag coefficient and static stability reserve of EFP were studied numerically. The results show that lift coefficient and drag coefficient are positively correlated with tail skirt angle,tail skirt length and length-diameter ratio. Statically stable reserve is positively correlated with tail skirt angle and length-diameter ratio,and increases first and then decreases with the increase of tail skirt length. The solid length has almost no effect on the lift coefficient,drag coefficient and pressure center position of EFP,but the solid length affects the static stability reserve by changing the centroid position of EFP. The analysis shows that when the tail skirt angle is 20°,the ratio of the tail skirt length to total length is 0.265,the ratio of the solid length to total length is 0.755 and the length-diameter ratio is 5,the EFP structure of the single tail skirt has low resistance and good flight stability. The influence of Mach number and angle of attack on the lift resistance coefficient and static stability reserve of EFP was studied. The results show that the larger the Mach number,the smaller the resistance coefficient. The larger the angle of attack,the larger the resistance coefficient and the static stability reserve. The research results offer reference for the design of EFP warhead with high penetration performance from the perspective of aerodynamics.
  • ZHANG Jiankun,YANG Kun
    . 2024, 36(03): 67-74.
    In order to expand the application scope of folding wing UAV and extend the information acquisition ability of underwater platform,an underwater vehicle scheme of carrying UAV for dry launch was proposed by combining the advantages of UUV and UAV. In order to better evaluate the feasibility of launching UAV on the sea,the computational fluid dynamics simulation software StarCCM+ was used to simulate the launching environment of UAV on the sea,and the floating and launching process of UAV was simulated in the simulation environment. The air-bag scheme and the propeller scheme were designed respectively by referencing foreign design experience,and the different sea-conditions,different structural-parameters and attitude parameters were simulated and evaluated,and finally the launching process was simulated under the sea conditions. The results show that the UAV carrier in the state of zero buoyancy underwater can float stably on the water surface under different sea-conditions by the air bag scheme and the propeller propulsion scheme. In terms of UAV launch,the difference between the maximum sinking distance of the air-bag scheme in still water and sea conditions is about 2.5%,and the consistency is better than the error level of the propeller scheme of 30%. The average maximum sinking-distance of the vehicle during the launch of UAV is 0.28 m,which is lower than 0.4 m of the propeller propulsion scheme. In a comprehensive comparison,the air-bag scheme is more stable and reliable.
  • SONG Dianyi,MENG Chaomei,TAN Qinghua
    . 2024, 36(03): 82-90.
    Cellular steel-tube-confined concrete(STCC)target has excellent anti-penetration ability and expandable performance. Based on finite analysis software ANSYS/LS-DYNA,the penetration process and anti-penetration mechanism of cellular STCC target normally penetrated by rigid projectiles were numerically simulated by using FEM/CSCM-SPH/HJC method. Compared with single-cell STCC targets and non-confined concrete target,the confinement effect of cellular steel-tube mainly reflects at the tunneling penetration stage and shows lateral confinement expansion of concrete at nose of projectiles. Compared with single-cell STCC target,surrounding cells of seven-cell cellular STCC target exert supporting on the steel tube in the impacted-cell. It restrains radial expansion of impacted concrete and bending deformation of steel tube,which can be treated as supplementary confinement of the surrounding cells. Compared with non-confined concrete target,it is the confinement of steel tube that improves the confining effect of concrete in the impacted cell,which enhances compressive strength and deformation performance of concrete in the impacted cell,and the penetration ability of the impacted cell is improved. Therefore,owing to confinement of the steel tube and supplementary confinement of the surrounding cells,the cellular STCC target exhibits excellent anti-penetration ability.
  • NI Hong,XU Yadong,WEI Shengcheng
    . 2024, 36(03): 101-110.
    Mines,improvised explosive devices and roadside bombs have become serious threat to vehicle-mounted howitzers(VMH),and the blast wave generated by mine explosion can also cause damage to the cab structure of VMH and endanger the life safety of crew. Because of the significant difference in the response of the shock wave generated by the mines explosion at different positions at the bottom of the cab,numerical simulation of the response process of the cab bottom of VMH under six explosion-shock conditions was carried out. ALE algorithm was used to establish models of soil,air and explosive,and Lagrange algorithm was used to establish the models of cab and chassis of VMH,and the fluid-solid coupling algorithm was used to calculate the propagation process of the explosion-shock wave,as well as the dynamic response of the cab of VMH in this process. The changes of shock-wave pressure,acceleration and velocity at the bottom plate of the passenger's foot position were analyzed,and the maximum shock-wave pressure,acceleration and velocity at the bottom plate of the passenger's foot position were obtained,and the damage to the cab structure under the worst-case operating conditions was analyzed. The simulation results show that the shock wave generated by the mine will make the cab floor produce greater acceleration and speed,and the cab structure will be damaged. In this case,the passengers will be injured. It is necessary to add a protective structure for the cab of VMH. The simulation results can provide reference for the design of cab protective-structure of VMH.
  • Journal Of Ballistics. 2024, 36(4): 63-64.
  • YIN Qiulin,CHEN Qi,WANG Zhongyuan,MA Shuai
    . 2024, 36(02): 21-28.
    Addressing the challenge of controlling impact angle and time during the terminal guidance phase of gliding-guided projectiles,a scheme was proposed to simplify the guidance law design process and facilitate engineering applications. This scheme extends existing high-performance,non-time-critical guidance laws to accommodate time constraints. Based on a nonlinear guidance model and using the projectile's flight trajectory under existing guidance laws as a reference,the proposal divided the terminal guidance phase into two stages. In the first stage,the projectile flies under the extended guidance law,adjusting the reference trajectory's curvature and extending flight time to converge the impact time error to zero within a finite period. In the second stage,the original guidance law takes over until the target is hitted,ensuring compliance with miss distance and impact angle constraints. Extensive simulations were carried out under various conditions. The impact of design parameter ranges on the convergence performance of impact time error in the first stage was studied. The derivation of this extended scheme does not require an explicit expression of the existing guidance laws,offering a degree of universality. The results indicate that with appropriate parameter settings,the extended scheme can achieve impact time control on the basis of existing guidance laws,with smooth guidance commands and minimal required overload,meeting the operational requirements.
  • MA Tianyi,TAO Ruyi,ZHOU Siyuan,WANG Jinlong,WANG Hao
    . 2024, 36(02): 44-52.
    Large-caliber howitzers are mainly equipped with modular charge structures,which result in complex flow field. Based on the modular charge structure,a two-dimensional axisymmetric two-phase flow interior ballistic mathematical model for the combustion field partitioning inside the short-barrel gun was established. The MUSCL scheme was used to solve the model. A program was developed to numerically simulate the flow field inside the cannon barrel. The study primarily focused on the combustion process within the modular charge chamber and the influence of different rupture pressures on the combustion of the modular charge structure. The results indicate that the overall average error between simulation results and experimental data is approximately 7.42%,with a peak error of 0.72%. It shows that the established mathematical model and developed program can effectively simulate the firing process of the modular charge artillery. Furthermore,it is observed that the modular charge container hinders the transmission of flame waves. Prior to the rupture of the modular charge container,the flame wave and the pressure wave mainly flow inside the module,and there is less exchange with the outside material. Until the modular cartridge is broken,the powder particles move to the free space in the chamber with the pressure wave,and the flame wave and the pressure wave begin to transmit in the chamber. Moreover,as the rupture pressure of the modular charge container increases,the combustion of the module-loaded propellant chamber becomes more complete,and the pressure rise time becomes shorter. The ignition gas from the igniter diffuses into the surrounding area through the ignition hole,causing the temperature inside the chamber to gradually increase from the ignition hole and spread to the surrounding area,thus igniting the firing propellant.