Structural Dynamic Effects on Interface Response: Formulation and Simulation Under Partial Slipping Conditions

Abstract

A new formulation for dynamic sliding contact problems with partial slipping is presented and used to investigate the influence of structural dynamic response on interface behavior. The mixed differential-algebraic equation (MDAE) approach uses differential equations to describe the slipping dynamics and algebraic (constraint) equations to model interfacial sticking. An efficient method for solving the case of partial interface slipping has been developed, and special consideration has been given to the changing equations of motion (at the transition from stick-to-slip and slip-to-stick). An example is presented for the case of an elastic block pressed into a rigid foundation and loaded with cyclic tangential tractions at the top of the block. The full elastodynamic transient simulations illustrate that interface slip response is a strong function of loading frequency, reaching a maximum when the external loading frequency is near the theoretical (shear-mode) natural frequency of the structure. [S0021-8936(00)02204-2]