The high-order nonlinear terms are applied to express the strain–stress curves of shape memory alloy (SMA) materials, and a new type of SMA model is proposed. Cough process is regarded as a strong stochastic process, and the mechanical model of an SMA tracheal stent in cough process is proposed where the large deformation caused by cough is considered. The system’s natural frequency is obtained, and its dynamic response is analyzed. The analysis and simulation results show that when the intensity of outside excitation increased 3.5 times (from 0.2 to 0.7), the system’s first-passage time was advanced by 19%, which means that the increase of the cough intensity will cause the loss of the stent; the large-amplitude vibration can be eliminated by selecting materials with appropriate parameters, which means the loss of tracheal stent can be avoided even in strong cough. This paper provides a new way to avoid the stent’s loss.

中文翻译：

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SMA 气管支架在咳嗽过程中的动态反应和首次通过

应用高阶非线性项来表达形状记忆合金（SMA）材料的应变-应力曲线，提出了一种新型的SMA模型。将咳嗽过程视为一个强随机过程，在考虑咳嗽引起的大变形的情况下，提出了SMA气管支架在咳嗽过程中的力学模型。获得了系统的固有频率，并对其动态响应进行了分析。分析和仿真结果表明，当外界激励强度增加3.5倍（从0.2到0.7）时，系统的首过时间提前了19%，这意味着咳嗽强度的增加会导致咳嗽强度的损失。支架；通过选择合适参数的材料可以消除大振幅的振动，这意味着即使在剧烈咳嗽时也可以避免气管支架的丢失。本文提供了一种避免支架脱落的新方法。