山西大学学报（自然科学版）2025，Vol.48Issue(3)：435-444,10.DOI:10.13451/j.sxu.ns.2023169
黏弹形状记忆合金系统的随机响应分析
Stochastic Response Analysis of Viscoelastic Shape Memory Alloy System
摘要
Abstract
This article investigates the dynamic response of a viscoelastic shape memory alloy(SMA)spring oscillator system under narrow-band noise excitation.According to the constitutive relation of SMA polynomial,viscoelastic medium is introduced to de-scribe spring damping,and the stochastic SMA dynamic equation is established.By using the method of combining Lindstedt-Poin-caré and multi-scale,we get the amplitude-frequency response and steady-state moment equation of the system,and discuss the influ-ence of viscoelastic parameters and noise intensity on the amplitude-frequency response and steady-state moment.The results show that the viscoelastic term can affect the nonlinear stiffness and structural damping of the system.Both noise intensity and viscoelastic parameters can induce random transition in the system.These results provide a theoretical reference for the stability of viscoelastic SMA composite structures.关键词
窄带噪声/形状记忆合金/多尺度法/随机跃迁Key words
narrow-band noise/shape memory alloy/multi-scale method/random transition分类
数学引用本文复制引用
郭蓉,李俊林,刘健康..黏弹形状记忆合金系统的随机响应分析[J].山西大学学报（自然科学版）,2025,48(3):435-444,10.基金项目
山西省高等学校科技创新项目(2022L316) （2022L316）
