样条边界元法分析圆形基础板非线性非光滑接触

本文用样条边界元法分析轴对称圆形基础板的非线性非光滑接触。除事先给出外力与地基表面位移的对应关系外,地基的模型、板的厚薄(Reissner/Kirchhoff型)和外荷载沿径向的分布均可是任意的。文中将地基反力看作板的外载,对变量沿径向采用不等距祥条插值,并用无地基效应的板基本解。算例表明本文方法只要用少量自由度,便可得到令人满意的结果。

Spline Boundary Element Method for Circular Plates in Nonlinear or Nonsmooth Contact with a Foundation

In this paper Spline Boundary Element Method is employed to analyze circular plates in a nonlinear or nonsmooth contact with a.layered foundation. The theory of that plate (Kirchhoff or Reissner's) and its loading distribution along the radial direction may be arbitrary. There is no limit to the model of foundation, except that its expression of displacement is given in advance under the action of force. This paper regards the reaction of foudation as the external load, and adopts the fundamental solution without the effect of foundation. Some numerical examples are provided to demonstrate that the. method is very effective.