The resonance of parametric vibration with forced vibration of the axially moving shape memory alloy laminated beam

被引：0
|
作者：
Hao Y. [1 ,2 ]
Li Z. [1 ,2 ]
Hu Y. [1 ,2 ]
机构：
[1] School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao
[2] Hebei Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structures, Yanshan University, Qinhuangdao
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2023年 / 42卷 / 10期
关键词：
axially variable-velocity moving; multi-scale method; shape memory alloy (SMA) laminated beam; the resonances of parametric vibration with forced vibration;
D O I：
10.13465/j.cnki.jvs.2023.10.001
中图分类号：
学科分类号：
摘要：
In this paper,the resonance of parametric vibration with forced vibration of the axially variable-velocity moving shape memory alloy ( SMA) laminated beam under harmonic excitation was investigated. Based on the Falk polynomial constitutive model of SMA and the Timoshenko beam theory, the nonlinear vibration equation of the axially moving SMA laminated beam was derived. The time and space variables of the equation were discretized by using Galerkin integral method, then the amplitude -frequency response equation of resonance by the combined parametric and forced excitations was derived by multiscale method and coordinate transformation method. According to the example analysis, the amplitude-frequency response and amplitude -parameter curves of different physical parameters were obtained,and the effect of axial velocity,temperature and forced excitations on the resonance characteristics were analyzed. The results show that the system exhibits typical nonlinear vibration characteristic and complex dynamic behavior. © 2023 Chinese Vibration Engineering Society. All rights reserved.
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页码：1 / 7
页数：6
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