Research on Meshless Method Using Uniform Design and Its Application in Piles Engineering

Abstract

In order to ensure that the nodes are distributed uniformly in the definition domain of calculation points, the uniform experiment design is introduced in the meshless method, which can make the nodes distribution uniform in the domain. Using uniform designs table, distributes these nodes, the interpolation function is built by those nodes, and dispersant equations are founded by the Galerkin Method. According to this concept, a programme based on uniform design is made. In order to verify the theory and programme, a load test of pile foundation is chosen to provide calculation data. The calculated results accord with survey data on-the-spot and show that it's possible that the uniform design may be applied in the nodes distribution in meshless method. And the calculation result obtained by less nodes is precise, based on the meshless method using uniform design. Because the radius of influence domain is decreased, the computer workload is greatly reduced.