THE SEMI-ANALYTICAL METHOD BASED ON GURTIN VARIATIONAL PRINCIPLES TO SOLVE DYNAMIC RESPONSE OF ONE DIMENSION

The semi-analytical method derived by the authors based on Gurtin varia-tional principle to solve dynamic response 'akes finite element discretization in space domain and series in time domain. The numerical examples show that this method is effective for obtaining the solutions of dynamic response. The formulas of this paper can solve the dynamic response of one dimension with all kinds of initial conditions and all applied loads by introducing a kind of displacement function of nods.