The fatigue reliability of gear teeth subjected to bending had been analyzed by Taylor expansion stochastic meshless point interpolation method(TSMPIM) in the paper.

A new meshless local radial point interpolation method for the analysis of functionally graded ma- terials is proposed.

First,a perturbation stochastic element-free Galerkin method(PSEFGM)that has characters of the high precise and the element-free is appiled to solve the response of probabilistic structure in this paper.

Structural reliability analysis based on stochastic element-free galerkin method and ant algorithm;

The consolidation and settlement of soft ground subjected to heaped loading are calculated with a point interpolation meshless method based on the Biot s consolidation theory.