芯板横向可压缩位移模式的夹层板结构动力有限元分析

Finite element analysis for sandwich plates with moderately thick viscoelastic cores

在杜庆华理论的基础上,提出了一种新的适用于中厚芯板的夹层板动力问题的位移修正模式。面板计入了剪切变形,遵循Mindlin一阶剪切变形理论的假定;芯板采用基于厚板理论的非线性位移模式,各向位移沿板厚成抛物线分布,三层挠度各不相等,考虑了芯板的横向压缩变形。推导了相应的位移应变关系,根据Halmiton原理建立了动力有限元方程,由能量守恒定律推导了夹层板的阻尼矩阵。计算和相关实验结果表明,文中所提出的高阶非线性位移模式以及计算方法是有效的;对于中厚夹芯夹层板的动力特性研究,考虑面板芯板的横向剪切变形以及芯板的横向压缩变形的影响是必要的。

A finite element model is presented for the vibration and harmonic response of sandwich plates with moderately thick viscoelastic cores.The two face layers are considered as Mindlin plates with shear and bending resistance.Nonlinear variation of displacements through the thickness of the core is assumed based on thick plates theory. The displacements of the core are expressed in terms of the displacements of two face plates. The governing equation of the sandwich plate system is derived based on Hamilton principle and is expressed in terms of the face plates＇ displacements. Numerical results show that the presented model is valid and the consideration of transverse normal deformation in the core is necessary and reasonable for dynamical response analysis.