为了解决实际应用中复杂轴对称弹性力学问题的求解困难,对无网格局部彼得洛夫.伽辽金法(MLPG)应用于此类问题进行了研究,并发展了相应的计算方法。通过一些数值算例,对所提方法进行了检验。结果表明:建议的方法对轴对称弹性力学问题表现为较好的适应性,而且能达到较为满意的计算精度。
In order to overcome the practical difficulty of solving complex axisymmetric elasticity problems, the application of the meshless local Petrov-Galerkin (MLPG) method to solve the problems was studied, and the numerical method with the adaptive faculty was proposed. In the end, through several numerical examples, the present method was tested. The results show that the proposed method is available and effective to solve such problems, and the numerical solutions are also satisfactory.