具有弹性环的有限大弹性板应力场分析

STRESS ANALYSIS OF A FINITE PLATE CONTAINING A RING REINFORCED ELLIPTICAL HOLE

本文用解析与数值结合法研究在含有椭圆孔的有限大小弹性板上,有一椭圆弹性环加强时,板及环上的应力场。假设板与环间处于无初应力的紧密接触状态,弹性板和弹性环的应力函数都可按复劳伦级数展开。根据孔与环的接触边界条件以及各自的外边界条件,运用节点配置法确定板、环的级数系数,从而求出板、环上的应力场。文中分析了级数项数一配点数对计算结果的影响。

When a finite elastic plate is reinforced with an elliptical ring around an elliptical hole, their stress fields are analysed by means of the combination method of analytic and numerical solutions.It is assumed that the plate is in close contact with the ring without initial stresses. Stress functions of the plate and the ring are formed by a complex Laurent series. The collocating method is used to determine coefficients of complex series in accordance with interface boundary and their out-boundary conditions. So, their stress fileds may be computed. The effect of the number of terms of the series and the number of collocating points on the computation results is analyzed.