任意支承条件下连续板系结构的有限板块解法

Finite Panel Element Method for the Structural Analysis of Continuous Plates with Arbitrary Supports

本文基于薄板小挠度弯曲理论,构造出板元内部解析、边界挠度和边界法向弯矩以带补充项的付氏级数逼近、同时考虑域内多点支承作用的板元位移函数,给出了一个适用于任意支承条件下连续板系结构的有限板块法求解格式。数值计算结果表明:本文的方法具有良好的计算精度和计算效率,适于工程应用。

Based on Kirchhoff' s thin plate theory, a new panel element suitable for the structural analysis of continuous plates with arbitrary supports is presented in this paper. The panel displacement function is chosen to be such that the governing partial differential equation is satisfied within the element and the boundary conditions are approximated by Fourier series withlinear supplementary terms. The effect of inner supports is also included during the panelformulation . Numerical examples demonstrate the accuracy and efficiency of the proposed method.