复合材料夹层梁动力响应的传递函数法求解

Solving dynamic response for composite sandwich beams by transfer function method

基于哈密顿原理推导了黏弹性复合材料夹层梁的动力学控制方程及其边界条件表达式,引入状态向量,建立了复合材料夹层梁系统的状态空间方程,采用分布参数体系传递函数方法得到了系统动力学响应封闭解.分别对采用常复模量和频变复模量模型黏弹性芯材复合材料夹层梁进行了频响特性算例验证,两者均符合较好,验证了本方法的正确性.最后讨论了芯材采用常复模量与频变复模量模型建模对结构动力学响应的影响;分析了表层厚度、铺层角度对结构动力学响应的影响规律.

The dynamics control equations and boundary conditions of viscoelastic composite sandwich beam were derived by Hamilton′s principle.A fter introducing the state vector,the equation of composite sandwich beam syste ms in state space was established through the distributed parameter system trans fer function method.Then the closed-form solutions of the dynamic response wer e obtained.The correctness of the frequency response characteristics of the com posite sandwich beam with viscoelastic core material,which was modeled as const ant complex modulus and frequency-dependent complex modulus,were numerically v alidated.The dynamic response difference of the composite sandwich beam with vi scoelastic core modeled by constant and frequency-dependent complex modulus wer e discussed.The face thickness,ply angles of the structure effect on the frequ ency response characteristics were analyzed.