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Key word: phenomenological model; SMA spring; pseudo-elasticity; differential hysteresis Abstract: As a kind of smart material, Shape memory alloy spring has multiple uses, especially as a good potential for solving vibration isolation problem. In this paper, a phenomenological model for describing pseudo-elasticity of shape memory alloy (SMA) spring has been developed. The differential hysteresis theory is applied here and introduces bifurcation to the system which incorporates SMA spring. The Lagrangian of the system is used to derive dynamic response of SMA spring. Comparisons between the numerical results and the experimental counterparts are presented. With appropriate method of parameter identification, a perfect fit of the model results with the experimental measurements is obtained.

A phenomenological model for shape memory alloy spring based on differential hysteresis theory