On the vibration control capability of shape memory alloy composite beams

Abstract

In this paper, the vibration control capability of shape memory alloy (SMA) composite beams subjected to impulsive loads is examined. In order to simulate the SMA response, a one-dimensional constitutive model is introduced which is able to reproduce pseudo-elasticity, martensite transformation/orientation and in particular ferro-elasticity effects. A numerical algorithm is presented to solve non-linear SMA constitutive model by means of an elastic-predictor inelastic-corrector return map procedure. The equivalent single layer theory of Rayleigh–Euler–Bernoulli is used to describe displacement field of SMA laminated composite beams. Geometrical non-linearity is also considered in the von Karman sense. Considering rotary inertia effects, finite element equations of motion are developed using the Hamilton principle. Newmark and Newton–Raphson methods are utilized to obtain an incremental solution of the problem. Extensive numerical results are presented to provide an insight into the influence of pre-strain, temperature, location and thickness of SMA layers on the vibration control of SMA composite beams subjected to various blast pulses. Considering ferro-elasticity effect, results reveal the fact that SMA layers with high pre-strain have a passive vibration control capability in low temperatures and yield a better efficiency in comparison with pseudo-elastic SMA layers.