Numerical Solution of Contact Problems with Friction under Dynamic Loads

Abstract

Abstract The article deals with the dynamic problem of deformable solid mechanics with unilateral constraints and Coulomb friction. For the numerical solution of the problem, the finite element method is used, the contact interaction is modeled by means of the contact finite elements (CFE) of the frame-rod type. The statement of dynamic contact problem for the interacting elastic bodies is given. On the basis of the proposed discrete contact model and the method of step-by-step analysis a numerical algorithm has been developed, which allows in one step-by-step (on time) process to perform the integration of the equations of motion and the implementation of the conditions for unilateral constraints with Coulomb friction on the contact simultaneously. Under the conditions of ultimate friction the method of compensating loads has been applied. With the help of the proposed approach, numerical solutions of the problem of contact of the structure with the base at different parameters of the dynamic load have been obtained and analyzed.