受弯层合板边缘效应数值-摄动分析

Numericai-Perturbation Analysis of Edge Effect in Bending Laminated Plate

本文将分析一个受弯复合材料层合板的计算模型.首先利用无量纲变量将层合板任一层的平衡方程变成以位移表示的摄动型微分方程式;然后利用合成展开法,将求解区域分成内部区域和边界层区域,并推导出求解外部解和内部解的数学模型.为突出边缘效应,最后用边界积分方程表示内部解.

In this paper, we consider a bending laminated plate. At first, the dimension-less variables are used to transform the equilibrium equations of any layer to perturbation differential equations. Secondly, the composite expansion is used and the solution domain is divided into interior and boundary layer regions and the mathematical models for the outer solution and the inner solution are yielded respectively. Then the inner solution is expressed with the boundary integral equation.