Nonlinear Dynamic Characteristics of SMA Intravascular Stent under Radial Stochastic Loads

Issue title: Frontiers in Biomedical Engineering and Biotechnology – Proceedings of the 2nd International Conference on Biomedical Engineering and Biotechnology, 11–13 October 2013, Wuhan, China

Article type: Research Article

Authors: Zhu, Zhiwen | Zhang, Qingxin | Xu, Jia^;

Affiliations: Deparment of Mechanics, Tianjin University, 92 Weijin Road, Nankai District, Tianjin 300072, China | Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, 92 Weijin Road, Nankai District, Tianjin 300072, China

Note: [] Corresponding author. E-mail: xujia_ld@163.com

Abstract: Nonlinear dynamic characteristics of shape memory alloy (SMA) intravascular stent under radial stochastic loads were studied in this paper. Von de Pol item was improved to interpret the hysteretic phenomena of SMA, and the nonlinear dynamic model of SMA intravascular stent under radial stochastic loads was developed. The conditions of stochastic stability of the system were obtained in singular boundary theory. The steady-state probability density function of the dynamic response of the system was given, and the stochastic Hopf bifurcation characteristics of the system were analyzed. Theoretical analysis and numerical simulation show that the stability of the trivial solution varies with bifurcation parameters, and stochastic Hopf bifurcation appears in the process, which can cause stent fracture or loss. The results of this paper are helpful to application of SMA intravascular stent in biomedical engineering fields.

Keywords: Shape memory alloy (SMA), intravascular stent, radial stochastic load, stochastic stability, stochastic bifurcation

DOI: 10.3233/BME-130834

Journal: Bio-Medical Materials and Engineering, vol. 24, no. 1, pp. 483-489, 2014