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杨杰 黄楠 杜全兴. 血管支架随机均匀性扩展问题的模型和应用[J]. 力学学报, 2008, 40(1): 79-85. DOI: 10.6052/0459-1879-2008-1-2006-646
引用本文: 杨杰 黄楠 杜全兴. 血管支架随机均匀性扩展问题的模型和应用[J]. 力学学报, 2008, 40(1): 79-85. DOI: 10.6052/0459-1879-2008-1-2006-646
Jie Yang, Nan Huang, Quanxing Du. Model and application of uniformity expansion in randomized structure of intravascular stent[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(1): 79-85. DOI: 10.6052/0459-1879-2008-1-2006-646
Citation: Jie Yang, Nan Huang, Quanxing Du. Model and application of uniformity expansion in randomized structure of intravascular stent[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(1): 79-85. DOI: 10.6052/0459-1879-2008-1-2006-646

血管支架随机均匀性扩展问题的模型和应用

Model and application of uniformity expansion in randomized structure of intravascular stent

  • 摘要: 从力学上提出了随机失稳结构串联扩展的均匀性问题,建立了描述该问题的数学模型,提出了均匀性指标概念和该指标的概率计算公式和方法. 针对两个扩展单元构成的串联结构,详细考察了筋厚度发生随机时对于扩展均匀性指标的影响,得到均匀性指标概率与筋厚度随机范围、载荷和强化系数等的变化关系. 研究发现当总扩展位移一定的情况下,强化系数的改变对于均匀性有重大影响.关键字:血管支架 均匀性 随机 失稳 串联

     

    Abstract: The expansion of intravascular stent may be considered as an extension in instable serial structure from the viewpoint of mechanics. Therandomization of the width and thickness of a stent will hare greatinfluence on the uniformity expansion in the instable serial structure. Inthis paper, a mathematical model to describe that problem is establishedon the basis of randomized unstable serial structure. The concept, methodand probability calculation formula of uniformity index are proposed.Regarding the serial structure made up of two expanded units, a detailedstudy is carried out on the influence of the random variation of beam thicknesson expansion uniformity indexes. We obtain the uniformity index probability'srelationships with beam thickness random variation, load variation andhardening coefficient variation. The research shows that materialharding coefficient has great effects on uniformity index when the totalexpansion displacement remains constant. The serial expansion theory ofrandom unstable structure provides an important guide to the design of new-typeintravascular stent.

     

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