Abstract
In this paper, the nonlinear constitutive relation of shape memory alloy is proposed. Based on this, the nonlinear dynamic model of a shape memory alloy composite doubly-clamped beam is established. Multi-scale method is used to obtain an approximate solution of the system. Finally, the theoretical results were verified by experiments. The experimental results show that the nonlinear characteristics of the system response in the high-order mode are caused by the hysteresis nonlinear characteristics of shape memory alloy. The results of this paper is helpful for the applications of shape memory alloy composite structure in engineering.
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