粘弹性板热机耦合非线性振动(Ⅱ)--数值方法及结果  

Nonlinear Vibration of a Thermo-mechanical Coupling Viscoelastic Plate(Ⅱ)——Numerical Method and Results

作　　者：王燕楠[1,2] 李映辉[1] 邓一三[1] 

机构地区：[1]西南交通大学力学与工程学院,四川成都610031 [2]西南石油大学机电工程学院,四川成都610500

出　　处：《四川大学学报（工程科学版）》2008年第6期69-74,共6页Journal of Sichuan University (Engineering Science Edition)

基　　金：国家自然科学基金资助项目(10472097);西南交通大学科研基金(2006B03)

摘　　要：基于粘弹性板热机耦合非线性积分-微分动力学模型,通过引入差分得到了粘弹性板普遍适用的非线性数值计算方法,然后对一类特殊的热机耦合动力学模型进行了求解,最后综合利用非线性动力学中的数值分析方法,揭示了粘弹性矩形板的热机耦合非线性动力学行为。研究表明:热机耦合粘弹性矩形板在横向周期激励和面内均布力作用下具有十分丰富的动力学行为,比不考虑温度效应的粘弹性板的混沌性更强,还出现了超混沌现象。Based on the nonlinear integral-ordinary differential dynamical system of the thermo-mechanical coupling viscoelastic plate,the general nonlinear numerical method for viscoelastic plate was obtained by introducing difference method.A kind of special dynamic model with thermo-mechanical coupling was solved.Finally,synthetically using several methods in dynamic systems,the dynamic properties of the thermo-mechanical coupling viscoelastic plate were sufficiently revealed.It was found that the dynamic propertie...

关 键 词：粘弹性板 热效应 耦合 超混沌 分岔 

分 类 号：TH113.1[机械工程—机械设计及理论]