镁合金冠脉支架支撑性能分析及其优化
|
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.
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
[1] 郭飞飞, 冯海全, 江旭东, 等. 球囊扩张式冠脉支架耦合扩张变形机理研究[J]. 机械设计与研究, 2012, 28(3): 30-37.
[2] 李红霞, 高月华, 王希诚. 基于代理模型技术的支架-球囊系统优化设计[J]. 医用生物力学, 2013, 28(2): 210-215.LI HX, GAO YH, WANG XC. Optimization of stent-balloon system based on surrogate modeling technique [J]. J Med Biomech, 2013, 28(2): 210-215.
[3] 江旭东, 滕晓艳, 史冬岩. 球囊扩张式冠脉支架扩张变形机理的数值方法研究[J]. 功能材料, 2016, 47(3): 3056-3063.
[4] 刘博. 可降解聚合物血管支架扩张性能分析及结构优化[D]. 大连: 大连理工大学, 2016.
[5] EARLY M, KELLY DJ. The role of vessel geometry and material properties on the mechanics of stenting in the coronary and peripheral arteries [J]. Proc Inst Mech Eng H, 2010, 224(3): 465-476.
[6] 何玉娜, 蔺嫦燕. 冠脉支架内再狭窄的血流动力学研究进展[J]. 中国生物医学工程学报, 2015, 34(3): 354-358.
[7] JIANG YF, ZHANG J, ZHAO WH. Influence of strut cross-section of stents on local hemodynamics in stented arteries [J]. Chin J Mech Eng, 2016, 29(3): 624-632.
[8] 张宏辉, 冯海全, 刘佳, 等. 血管支架柔顺性能的仿真模拟及灰色相关性分析[J]. 医用生物力学, 2016, 31(3): 206-212.ZHANG HH, FENG HQ, LIU J, et al. Simulation on flexibility of the vascular stent and grey correlation analysis [J]. J Med Biomech, 2016, 31(3): 206-212.
[9] 王晓, 冯海全, 王文雯. 球囊扩张式冠脉支架生物力学性能研究[J]. 中国生物医学工程学报, 2013, 32(2): 203-209.
[10] 刘倩, 雷丽萍, 曾攀, 等, 血管支架径向支撑能力的数值模拟和实验研究[J]. 中国医疗器械杂志, 2010, 34(3): 175-179.
[11] 冯海全, 孙丽丽, 韩青松. 狭窄血管内支架变形行为及力学性能模拟研究[J]. 功能材料, 2015, 46(22): 22085-22094.
[12] 江旭东, 滕晓艳, 史冬岩, 等. 冠脉支架联接体波形对血管损伤与再狭窄的影响[J]. 哈尔滨工程大学学报, 2015, 36(7): 975-980.
[13] GUNDERT TJ, MARSDEN AL, YANG W. Optimization of cardiovascular stent design using computational fluid [J]. J Biomech Eng, 2012, 134(1): 110-120.
[14] 韦明堂, 李志强, 郑清丽. 镍钛合金冠脉支架纵向柔顺性数值分析[J]. 医用生物力学, 2016, 31(1): 13-18.WEI MT, LI ZQ, ZHENG QL. Numerical analysis on longitudinal flexibility of a NiTi coronary stent [J]. J Med Biomech, 2016, 31(1): 13-18.
[15] IMANI M, GOUDARZI AM, GANJI DD, et al. The comprehensive finite element model for stenting: The influence of stent design on the outcome after coronary stent placement [J]. J Theor App Mech, 2013, 51(3): 639-648.
[16] 江旭东, 滕晓艳, 史冬岩. 冠脉支架对弯曲血管损伤机理的非线性有限元分析[J]. 功能材料, 2015, 46(3): 3050-3054.
[17] 赵丹阳, 刘韬, 李红霞. 可降解聚合物血管支架结构优化设计[J]. 力学学报, 2017, 49(6): 1409-1417.
[18] 王文雯. 镁合金冠脉支架结构设计及其优化[D]. 呼和浩特: 内蒙古工业大学, 2014.
[19] 程洁, 周啸, 李俐军, 等. 冠脉支架的多功能体外力学性能测试装置及实验研究[J]. 东南大学学报(自然科学版), 2010, 40(2): 341-345.
[2] 李红霞, 高月华, 王希诚. 基于代理模型技术的支架-球囊系统优化设计[J]. 医用生物力学, 2013, 28(2): 210-215.LI HX, GAO YH, WANG XC. Optimization of stent-balloon system based on surrogate modeling technique [J]. J Med Biomech, 2013, 28(2): 210-215.
[3] 江旭东, 滕晓艳, 史冬岩. 球囊扩张式冠脉支架扩张变形机理的数值方法研究[J]. 功能材料, 2016, 47(3): 3056-3063.
[4] 刘博. 可降解聚合物血管支架扩张性能分析及结构优化[D]. 大连: 大连理工大学, 2016.
[5] EARLY M, KELLY DJ. The role of vessel geometry and material properties on the mechanics of stenting in the coronary and peripheral arteries [J]. Proc Inst Mech Eng H, 2010, 224(3): 465-476.
[6] 何玉娜, 蔺嫦燕. 冠脉支架内再狭窄的血流动力学研究进展[J]. 中国生物医学工程学报, 2015, 34(3): 354-358.
[7] JIANG YF, ZHANG J, ZHAO WH. Influence of strut cross-section of stents on local hemodynamics in stented arteries [J]. Chin J Mech Eng, 2016, 29(3): 624-632.
[8] 张宏辉, 冯海全, 刘佳, 等. 血管支架柔顺性能的仿真模拟及灰色相关性分析[J]. 医用生物力学, 2016, 31(3): 206-212.ZHANG HH, FENG HQ, LIU J, et al. Simulation on flexibility of the vascular stent and grey correlation analysis [J]. J Med Biomech, 2016, 31(3): 206-212.
[9] 王晓, 冯海全, 王文雯. 球囊扩张式冠脉支架生物力学性能研究[J]. 中国生物医学工程学报, 2013, 32(2): 203-209.
[10] 刘倩, 雷丽萍, 曾攀, 等, 血管支架径向支撑能力的数值模拟和实验研究[J]. 中国医疗器械杂志, 2010, 34(3): 175-179.
[11] 冯海全, 孙丽丽, 韩青松. 狭窄血管内支架变形行为及力学性能模拟研究[J]. 功能材料, 2015, 46(22): 22085-22094.
[12] 江旭东, 滕晓艳, 史冬岩, 等. 冠脉支架联接体波形对血管损伤与再狭窄的影响[J]. 哈尔滨工程大学学报, 2015, 36(7): 975-980.
[13] GUNDERT TJ, MARSDEN AL, YANG W. Optimization of cardiovascular stent design using computational fluid [J]. J Biomech Eng, 2012, 134(1): 110-120.
[14] 韦明堂, 李志强, 郑清丽. 镍钛合金冠脉支架纵向柔顺性数值分析[J]. 医用生物力学, 2016, 31(1): 13-18.WEI MT, LI ZQ, ZHENG QL. Numerical analysis on longitudinal flexibility of a NiTi coronary stent [J]. J Med Biomech, 2016, 31(1): 13-18.
[15] IMANI M, GOUDARZI AM, GANJI DD, et al. The comprehensive finite element model for stenting: The influence of stent design on the outcome after coronary stent placement [J]. J Theor App Mech, 2013, 51(3): 639-648.
[16] 江旭东, 滕晓艳, 史冬岩. 冠脉支架对弯曲血管损伤机理的非线性有限元分析[J]. 功能材料, 2015, 46(3): 3050-3054.
[17] 赵丹阳, 刘韬, 李红霞. 可降解聚合物血管支架结构优化设计[J]. 力学学报, 2017, 49(6): 1409-1417.
[18] 王文雯. 镁合金冠脉支架结构设计及其优化[D]. 呼和浩特: 内蒙古工业大学, 2014.
[19] 程洁, 周啸, 李俐军, 等. 冠脉支架的多功能体外力学性能测试装置及实验研究[J]. 东南大学学报(自然科学版), 2010, 40(2): 341-345.