弹性力学平面问题和空间问题中的配点法

The Collocation Method for Solving Two and Three Dimensional Problems in Elasticity

本文建立了解决弹性力学平面问题和空问问题的配点法,这一方法在理论上和实用上都有重要的意义,本文广泛的研究了这一方法。从弹性力学位侈方程的(巴波柯维奇)通解出发,建立了试函数系列。文中给出一些算例。算例表明了这一方法的有效性。本文建立的方法具有广泛的应用前景。应该把这一方法称之为有限点法。

In this paper a collocation method is suggested for solving two and three dimensional problems of elasticity. The method is of theoretical interest and practical importance and has been investigated extensively in this paper. Based on the Papkavich general solution of system of equations in the theory of elasticity, the trial functions arc adopted.Several illustrative examples are given in this paper.Calculations point out the effectiveness of this method. The method suggested in this paper opens up broad possibilities for application It may be called the Finite Point Method