航天器环境工程2013，Vol.30Issue(1)：40-48,9.DOI:10.3969/j.issn.1673-1379.2013.01.007
超声速气流下黏弹性夹层壁板非线性颤振分析
Nonlinear analysis of viscoelastic sandwich panel's vibration under supersonic airflow
摘要
Abstract
Based on the Kelvin-Voigt constitutive law, the governing equations for the flutter vibration of the viscoelastic sandwich panel are established with consideration of the von-Karmen thin plate large deflection and the nonlinear piston theory. By using the method of the Galerkin truncation, the nonlinear dynamical characteristics of the viscoelastic sandwich panel under the supersonic flow and with the simple supports on four sides are analyzed. For the equation of the first-order Galerkin truncation, the equilibrium of the system and its stability are studied, the critical flow of the static bifurcation is obtained; for the equation of the second-order Galerkin truncation, the critical flow of the Hopf bifurcation is obtained by applying the Hopf bifurcation criterion, the dynamical behavior with the varying flow conditions is observed by employing the diagram of the response and phase portrait.关键词
黏弹性夹层板/超声速气流/Kelvin-Voigt模型/非线性分析/数值仿真/活塞理论Key words
viscoelastic sandwich panel/ supersonic airflow/ Kelvin-Voigt model/ nonlinear analysis/ numerical simulation/piston theory分类
数理科学引用本文复制引用
吕海炜,李映辉,李中华,李亮..超声速气流下黏弹性夹层壁板非线性颤振分析[J].航天器环境工程,2013,30(1):40-48,9.基金项目
国家自然科学基金资助项目(编号:11072204) （编号:11072204）
中央高校科研业务费专项(编号:SWJTU11ZT5) （编号:SWJTU11ZT5）
