夹层圆柱壳振动的谱有限元分析

从哈密顿变分原理获得夹层圆柱壳的运动微分方程和边界条件,将谱有限元法用于夹层圆柱壳结构,推导出不同周向模态下夹层圆柱壳单元的动力刚度矩阵和隐式动力形状函数,分析长径比、径厚比、芯表厚度比、芯表模量比对固有频率和模态损耗因子的影响.研究表明:小径厚比、大长径比及大芯表厚度比有利于抑制夹层圆柱壳振动.

Spectral Finite Element Analysis for Vibration of Sandwiched Shell

Following Hamilton Principle, the differential equations of motion and boundary conditions of a sandwiched cylinder shell are established. Based on the spectral finite element method, the dynamic stiffness matrix and the implicit dynamic shape functions for the shell element are derived at different circular mode. And the effects of length radius ratio, radius thickness ratio, core/facesheet thickness ratio, and core/facesheet modulus ratio on the dimensionless natural frequencies and modal loss factors are discussed. The results suggest that small radius/thickness ratio, large length/radius ratio and large core/facesheet thickness ratio are benefit for vibration supression.