Euler-Bernoulli梁的无网格LPIM解法

A local point interpolation meshless method for Euler-Bernoulli beam

局部点插值法(LPIM)是一种新型的无网格方法.该方法的形函数具有delta函数性质,可以方便施加本质边界条件.本文采用这种方法把Euler-Bernoulli梁作为一维问题对挠度进行插值,以得到控制方程.这种方法使用简单,而且结果表明该方法计算精度高.

The local point interpolation method （LPIM） is a new kind of meshless methods, In the LPIM, the shape function possesses the delta function property, so the essential houndrary conditions can be easy to impose. In this paper, the local point interpolation method is used to interpolate the deflection in one demensional Euler-Bernoulli beam problem. This mothed is easy to use,and the results shows that this method have the property of high accuracy.