复合夹层梁动力响应的谱有限元解

Spectral Finite Element Solution of Dynamic Response of Sandwich Beams

基于复合夹层梁的基本运动方程 ,采用有限元的基本原理 ,以复合夹层梁的一维行波方程解作为形函数 ,在频域内采用谱有限元法求解复合夹层梁的动力响应 ;另外采用通用的有限元程序 ,通过修改弹性材料特性的输入 ,以考虑线性粘弹性材料的阻尼特性 ,同样进行了复合夹层梁的频响分析 .2种方法的计算结果对比表明 ,谱有限元法可以方便地考虑夹层线性粘弹性材料的频变特性 ,且所需单元少 。

Based on the governing equations of sandwich beams,this paper analyses the dynamic response of sandwich beams using a spectral finite element method (SFEM) in frequency domain.The SFEM follows the fundamental principle of classic finite element method,but the shape functions are duplicated from progressive wave solutions of sandwich beams.Otherwise,conventional finite element method is used to conduct the frequency response analysis of sandwich beams by modifying the inputs of material property to consider the damping behavior of linear viscoelastic material.The comparative results of two methods indicate that the SFEM can easily considered the frequency-dependent property of linear viscoelastic material and need fewer elements to obtain more accurate results.