AN ANALYSIS OF INFLUENCE OF SMA MATERIAL ON DYNAMIC PROPERTIES OF A SPRING TAKING INTO ACCOUNT CONSTRUCTIONAL FRICTION

Abstract

In this paper, an analysis of forced transverse harmonic vibration with constant changes of the exciting force in a dynamic system consisting of two beams is presented together with a model of a leaf spring. In this junction both beams are made of shape memory material (SMA). The constructional friction is also taken into account. For the purpose of the analysis an equivalent linearization of the elasticity-damping features of the beams was conducted. As an effect of linearization a junction was acquired with both stiffness of elements and viscosity damping. The obtained differential equations were solved using the asymptotic Bogolubov-Krylov-Mitropolski method. The results of the conducted simulation are presented on graphs, showing the influence of unitary pressure on the system’s damping properties.