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研究形状记忆合金（ＳＭＡ）紧缩型伪弹性的数学模型，以一阶微分方程形式描述此类材料制成的减振降噪元件的恢复力模型，可以通过调节参数描述不同形态的恢复力－变形关系．在此模型基础上，分析由此类元件构成的减振系统在不同条件下的振动响应规律．结果表明，该数学模型不仅简单实用、普遍适用，而且能很好地描述这类非线性振动系统的特性．同时，此类减振装置对较强烈的振动有更好的抑制作用．
In this paper, the mathematic model of shape-memory alloy (SMA) shrinkage pseudoelasticity is studied. The restoring force model of vibration-damping noise-reducing element made of this kind of material is described by the first-order differential equation. The restoring force of different shapes can be described by adjusting the parameters- relationship. Based on this model, the vibration response of the vibration-damping system composed of such elements under different conditions is analyzed. The results show that the mathematical model is not only simple and practical, but also suitable for describing the characteristics of this kind of nonlinear vibration system. At the same time, such damping devices have a better inhibition of the more intense vibration.