Fractional Maxwell Model for Oscillating Flow of a Viscoelastic Elastomer Shock Absorber

WANG Zhiqian;MAO Baoquan;ZHU Rui;BAI Xianghua;HAN Xiaoping

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  • Sponsored by: China Association for Science and Technology (CAST)

    Editor-In-Chief: Xu Yida

    ISSN 1000-1093

    　

  • Hosted By: China Ordnance Society

    Published By: Acta Armamentarii

    CN 11-2176/TJ

Acta Armamentarii, a Chinese monthly journal, was first published in 1979. The journal is supervised by China Association for Science and Technology, sponsored by China Ordnance Society，and edited and published by Editorial Board of Acta Armamentarii. The Journal is included in all important domestic databases，and also collected by Engineering Index (EI, USA), Chemical Abstracts (CA, USA), Science Abstracts (SA, UK）, Abstract Journal (AJ, Russia), and Current Bibliography on Science and Technology(CBST).Acta Armamentarii has been selected into the journal Of Ordnance Science and Technology (Weapons Industry) Field Of High Quality Scientific and Technological Periodical Classification Catalogue (2022 edition), ranking T1, and the journal of Automotive Engineering Field of High Quality Scientific and technological Periodical classification Catalogue, ranking T2.
Acta Armamentarii ›› 2020, Vol. 41 ›› Issue (5) : 984-995. DOI: 10.3969/j.issn.1000-1093.2020.05.018
Paper

Fractional Maxwell Model for Oscillating Flow of a Viscoelastic Elastomer Shock Absorber

  • WANG Zhiqian, MAO Baoquan, ZHU Rui, BAI Xianghua, HAN Xiaoping
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Abstract

The viscoelastic elastomer flowing in a shock absorber has a strong viscoelasticity, and the oscillating flow models for simulating and studying a viscoelastic elastomer in the orifice and gap of shock absorber have been rarely reported. A fractional Maxwell model with quasi-property is proposed to study the oscillating flow of a viscoelastic elastomer shock absorber. According to the actual operating conditions of viscoelastic elastomer shock absorber during periodic reciprocating motion, the oscillating flows in both the orifice and gap of a shock absorber were simplified. The real-world initial and boundary conditions were set, and then the numerical solution of the fractional Maxwell model was obtained using the finite difference method. The velocity distributions at different oscillation frequencies and the influences of the parameters on the stress-strain rate curves were analyzed by comparing the fractional Maxwell model with the Newtonian fluid model. The simulated and experimental results indicate that the non-linearity and frequency dependence of the fractional Maxwell model are stronger than those of the Newtonian fluid model; the stress-strain rate distribution curves of the fractional Maxwell model are all elliptic for different parameters; and the ellipse major axes of stress-strain rate curves of the fractional Maxwell model are counterclockwise rotated as fractional order exponents α and β as well as quasi-state property dimensionless coefficient η increase. The proposed fractional Maxwell model can be used to successfully simulate and predict the shapes and changing trends of hysteretic curves, and the relative average error of energy absorption rate is 3.60%. Key

Key words

shockabsorber / fractionalMaxwellmodel / viscoelasticelastomer / oscillatingflow / numericalsolution

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WANG Zhiqian, MAO Baoquan, ZHU Rui, BAI Xianghua, HAN Xiaoping. Fractional Maxwell Model for Oscillating Flow of a Viscoelastic Elastomer Shock Absorber. Acta Armamentarii. 2020, 41(5): 984-995 https://doi.org/10.3969/j.issn.1000-1093.2020.05.018

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第41卷第5期2020年5月
兵工学报ACTA ARMAMENTARII
Vol.41No.5May2020

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