Traveling wave method and modal superposition method are used to study the coupled motion characteristics of plate and added ribs. According to the coupled continuity hypothesis of plate and rib, three kinds of coupling model, i.e., plate-additional mass model, plate-Euler beam model and plate-plate-Euler beam model, are established. The three coupling models correspond to blocking mass, flat steel and T-shaped plate, respectively. The dynamic response of finite plate is derived based on the traveling wave method. A self-compiled Matlab program is applied to calculate the vibratory response. The traveling wave method is verified to be an effective approach to calculate the coupled structure by comparing the numerical result of the finite element method with the calculated result of the traveling wave method. The coupling models with three different ribs are compared and analyzed. According coupled continuity assumption, the effect of structural rigidity on response is investigated. In low frequency range, the structural stiffness has less effect on dynamic response. As frequency increases, the impact of structural stiffness on dynamic response increases. The impacts of thickness and loss factor on vibration are analyzed. The results show that, with the increase in plate thickness, the modal number of plate is reduced. In the nearby regions of the resonant frequencies, the peaks of input power and transmission power are decreased with the increase in loss factor. The loss factor has less effect on the natural frequency of structure.
Key words
solid mechanics /
travelling wave method /
finite ribbed plate /
power flow /
blocking mass
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References
［1］ 阿·斯·尼基福罗夫. 船体结构声学设计[M]. 谢信, 王轲,译. 北京:国防工业出版社, 1998.
Никифоров А С. Acoustic design of hull structure[M]. XIE Xin, WANG Ke, transtated. Beijing: National Defense Industry Press, 1998. (in Chinese)
[2］ Park D H, Hong S Y, Kil H G, et al. Power flow models and analysis of in-plane waves in finite coupled thin plates[J]. Journal of Sound and Vibration, 2001, 244(4):651-668.
[3］ Park Y H, Hong S Y. Vibrational power flow models for transversely vibrating finite Mindlin plate[J]. Journal of Sound and Vibration, 2008, 317(3):800-840.
[4］ Tso Y K. The evaluation of transmission efficiency and coupling loss factor of structural junctions[R]. Ascot Vale, Victoria, Australia: Materials Research Labs, 1993.
[5］ Kessissoglou N J. Power transmission in L-shaped plates including flexural and in-plane vibration[J]. Journal of the Acoustical Society of America, 2004, 115(3):1157-1169.
[6］ 赵芝梅, 盛美萍. 激励特性对L型板振动功率流的影响[J]. 兵工学报, 2013, 34(8): 986-993.
ZHAO Zhi-mei, SHENG Mei-ping. Effect of driving force characteristics on the power flow of L-shaped plate[J]. Acta Armamentarii, 2013, 34(8): 986-993.(in Chinese)
[7］ Liu C C, Li F M, Liang T W, et al. The wave and vibratory power transmission in a finite L-shaped Mindlin plate with two simply supported opposite edges[J]. Acta Mechanica Sinica, 2011, 27(5): 785-795.
[8］ Liu C C, Li F M, Huang W H. Active vibration control of finite L-shaped beam with travelling wave approach[J]. Acta Mechanica Solida Sinica, 2010, 23(5): 377-385.
[9］ Liu C C, Li F M, Fang B, et al. Active control of power flow transmission in finite connected plate[J]. Journal of Sound and Vibration, 2010, 329(20): 4124-4135.
[10］ Li F, Liu C C, Liang T. Analysis and experiment on transient dynamic response in finiteMindlin plate[J]. Acta Mechanica Solida Sinica, 2013, 26(2): 129-139.
[11］ 焦映厚, 侯守武, 陈照波, 等. 采用波动法研究有限尺寸加肋 L 型板结构的振动特性[J]. 振动工程学报, 2013, 26(6):871-878.
JIAO Ying-hou, HOU Shou-wu, CHEN Zhao-bo, et al. Research on vibration properties of finite rib-stiffened L-shaped plate using wave method[J]. Journal of Vibration Engineering, 2013, 26(6): 871-878.(in Chinese)
[12］ 李朋洲, 卢军, 孙磊. 阻振质量对有限平板振动传递影响分析[J]. 核动力工程, 2014, 35(1): 78-81.
LI Peng-zhou, LU Jun, SUN Lei. Effect analysis of vibration transmission of finite plate with blocking mass[J]. Nuclear Power Engineering, 2014, 35(1): 78-81. (in Chinese)
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