沈阳航空航天大学学报2025，Vol.42Issue(6)：20-27,8.DOI:10.3969/j.issn.2095-1248.2025.06.003
考虑热退化和阻尼效应的壁板颤振特性分析
Analysis of flutter characteristics of panel considering thermal degradation and damping effects
摘要
Abstract
To systematically investigate the mechanisms of thermal degradation and damping effects on panel flutter boundaries and responses,an aeroelastic model incorporating thermal degradation and damping terms was developed,followed by a sensitivity analysis of key parameters based on stability criteria.Firstly,based on the von Kármán plate large deformation theory,the Kelvin damping model,and the first-order piston theory,a two-dimensional supersonic panel dynamic equation was established.This equation considered thermal degradation and damping effects.Spatial discretization was achieved using the Galerkin method.Next,the Lyapunov indirect method and the Routh-Hurwitz criterion were used to obtain stability region diagrams for various degrees of thermal degradation.This identified the number and stability of equilibrium points in each region.Finally,the nonlinear ordinary differential equations were solved using the fourth-order Runge-Kutta method to determine the panel's nonlinear aeroelastic response.This response was analyzed using nonlinear dynamic tools,such as time history plots,phase trajectory diagrams,and bifurcation diagrams.The results indicate that both thermal degradation and material damping significantly reduce the stability region of the panel.Panel thickness also influences the stability region.An increase in the thermal degradation coefficient not only amplifies the panel's vibration amplitude but also causes the bifurcation points to appear earlier,accelerating the bifurcation evolution process.Furthermore,thermal degradation significantly increases the diversity of panel response types and their sensitivity to system parameters.In addition,material damping effectively suppresses the panel's quasi-periodic and chaotic vibrations responses.关键词
热退化/材料阻尼/壁板/稳定性边界/气动弹性响应/颤振Key words
thermal degradation/material damping/panel/stability boundary/aeroelastic response/flutter分类
航空航天引用本文复制引用
QI Wuchao,ZHANG Zihao,LI Yadong,TIAN Sumei..考虑热退化和阻尼效应的壁板颤振特性分析[J].沈阳航空航天大学学报,2025,42(6):20-27,8.基金项目
辽宁省教育厅基本科研面上项目(项目编号:JYTMS20230253,JYTMS20230224) （项目编号:JYTMS20230253,JYTMS20230224）
辽宁省科技厅联合计划面上项目(项目编号:2025-MSLH-565). （项目编号:2025-MSLH-565）
