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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.
Based on the Hamilton principle, the governing equations of the viscoelastic sandwich beam and its boundary conditions are deduced. By introducing the state vector, the state space equation of the sandwich beam is established and the distribution function of the system is obtained. Dynamic response closed solution.An example of the frequency response of a viscoelastic core composite sandwich beam with a constant modulus and a frequency-dependent complex modulus model is validated respectively, both of which are in good agreement with each other to verify the correctness of the method Finally, the influence of the core material on the dynamic response of the structure by the modeling of the constant modulus and the frequency-dependent complex modulus is discussed. The influence of surface thickness and ply angle on the structural dynamic response is analyzed.