弹性地基板的无奇异边界元解法

A Boundary Element Solution for the Bending Problem of the Thin Plates on Elastic Foundation

本文用无奇异边界单元法,分析弹性地基上薄板的弯曲问题,考虑Winkler和双参数地基模型,选择第三类复变量的Bessel函数作为该问题的基本解,由此导出了一组权函数,在数值解法中,对面荷载积分项均统一化为边界积分,避免了在域内划分网格,文中还给出了一种考虑桩支承的边界元分析方法及域内点弯矩和接触应力的计算公式。

In this paper the bending problem of the thin plates on elastic foundation are solved by use of the direct nonsingular boundary element method. Two types of foundations, Winkler's and 'Double-parameter' models, are considered. The third type of Bessel's function with complex variable is chosen as the foundamental solution, and a set of weighting functions are also derived, Based on the scheme mentioned above, the computer program is developed for various kinds of plates on elastic foundation with complex boundary conditions. Besides, the influence of the stakes to the plate bending can also be treated by the program.