The Coupled Meshless-finite Element Method And Its Applicational Research On Bridge Structure Analysis

Finite element method(FEM) is the most widely used numerical methodfor engineering applications, but has difficulty with mesh distortion, crack propagationand adaptive analysis. Meshfree method needs only discrete nodes without the topologicalrelations, which gives higher calculation accuracy than FEM and has obvious advantageswhen dealing with the problems above.This paper studies the meshfree method applications to structural analysis andthe program composition with MATLAB is carried out on the basis of the theory ofmeshfree method. Numerical examples are provided to investigate the impact of differentparameters on the accuracy and stability. The results show thatmeshfree method achievesconsiderable calculation accuracy in both static and dynamicanalysis of solid structures.The theory of coupled Mfree-FE method is discussed and two numerical examplesindicates the effectiveness of the algorithm. On this basis,the mechanical properties ofCAM of unballasted track on moving loads are studied on.The results show that stressdistribution along the section is uneven.The moving loads result in the concentration ofstress in the inner part of CAM, thus may causing fatigue fracture due to the repeatedaction of moving loads.