摘要
本文首先导出圆薄板非轴对称大变形问题的位移基本方程及边界条件。利用Fourier变换和摄动法将非线性位移方程线性化,得到了近似边值问题。作为算例,文中研究了圆薄板在较复杂载荷作用下的大挠度问题。
To begin with in this paper, the displacement governing equations and the
boundary conditions for nonsymmetrical large deflection problem of circular thin plates are derived first in this paper. By using Fourier transformation and the perturbation method,the nonlinear displacement equations are linearized and the approximate boundary value problems are built up. As an example,the large deflection problem of circular thin plates subjected to comparatively complex loads is investigated.
出处
《甘肃工业大学学报》
1992年第2期112-120,共9页
Journal of Gansu University of Technology
基金
国家自然科学基金资助项目
关键词
挠度
摄动法
圆薄板
位移
非线性
displacements, non-linearity, Fourier transformation, perturbation method, circular thin plates
