摘要
目的利用有限元法对支架支撑性进行模拟分析,选用Kriging代理模型理论优化支架结构,为支架的临床治疗及设计开发提供更加科学的参考。方法通过惩罚函数法建立接触模型,选用广义变分原理作为数值模拟仿真的理论基础,并以Kriging代理模型理论对支架刚度进行有限元优化,研究周向支撑体数目、支撑体长度和初始直径对支架支撑性能的影响。结果支架的支撑力随着周向支撑体数目和支撑体长度的增加呈现下降的趋势,而随着初始直径的增大呈现上升的趋势;利用Kriging代理模型理论从7款支架中得出:支撑体数目为6个、支撑体长度为1.15 mm、初始直径为1.65 mm是支撑刚度最优支架结构。结论数值分析与体外实验结果吻合较好,误差在5%以内,实验重复性误差率在0.5%以内,验证了有限元分析的有效性和合理性。镁合金支架支撑性能的优化为新型支架设计及开发提供重要参考依据。
Objective To conduct simulation analysis on support performance of the stent by using finite element method, and optimize structure parameters of the stent by using Kriging surrogate model, so as to provide more scientific guidance for clinical treatment with design and development of the stent. Methods The contact model was established by penalty function method. The generalized variational principle was selected as theoretical basis of the numerical simulation, and the theory of Kriging surrogate model was used for finite element optimization on support stiffness of the stent, so as to study the effect from the number of circumferential support, the length of the support and the initial diameter on support performance of the stent. Results With the increase of the number of circumferential support or the length of the support, the support performance showed the decreasing tendency; with the increase of the initial diameter, the support performance showed the increasing tendency. From seven stents by using the theory of Kriging surrogate model, it was concluded that structural parameters of the optimal stent were: the number of circumferential support was six, the length of the support was 1.15 mm, and the initial diameter was 1.65 mm. Conclusions The numerical result agreed well with the experimental data and the error was smaller than 5%, and the error rate of experimental repeatability was within 0.5%, which verified effectiveness and rationality of the finite element analysis. The optimization of support performance provides an important reference for design and exploration of new magnesium alloy stent.
引文
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