Application of meshless method to geometric nonlinear mechanics

Meshless method is used to solve geometric nonlinear problems and meshless static and dynamic models are established based on the moving least square method in the Lagrange coordinate system. The static equilibrium equations are computed by combining the load increment with correctional Newton iteration, and the dynamic equations are computed by Wilson-θ method. Finally distortion results and dynamic response of straight pole and cantilever beam are gained. The comparison of the calculated results with those obtained using finite elements method shows that the proposed methods are feasible.