基于有限元反算和粒子群优化算法杨氏模量重构.pdfVIP

第36 卷第3 期 东南大学学报（自然科学版 ） Vol. 36 No. 3 2006 年5 月 JOURNAL OF SOUTHEAST UNIVERSITY （Natural Science Edition ） May 2006 基于有限元反算和粒子群优化算法杨氏模量重构 陈 敏 汤文成 王 楠 蔡传宝 （东南大学机械工程学院，南京210096 ） 摘要：提出一种基于边缘提取技术和图像配准技术的杨氏模量定量计算方法. 在已知取生物组 织边缘位移及病变位置的基础上，假设力的分布、构造单元系统、运用有限元反演方法（IFEM ） 多次迭代，计算出组织的杨氏模量. 在此基础上估计全局杨氏模量范围，采用改进粒子群优化算 法（PSO ），计算出生物组织整体的杨氏模量分布. 并通过计算机模拟实验验证了算法的可行性， 讨论了在边界位移存在误差的情况下，计算结果的准确性；改进PSO 算法在较大范围内有哪些信誉好的足球投注网站，总 能向理论值靠近，得到可行解. 关键词：杨氏模量；有限元反算法；改进粒子群优化算法；生物组织 中图分类号： TH123 文献标识码：A 文章编号：100 1 - 0505 （2006 ）03-0402-05 IFEM and PSO algorithms for Young s modulus reconstruction Chen Min Tang Wencheng Wang Nan Cai Chuanbao （College of Mechanical Engineering ，Southeast University ，Nanjing 210096 ，China ） Abstract ：To get the guantitative value of the abnormal biological tissues ，an inverse algorithm a- bout Young*s modulus based on boundary extraction and image registration technology is proposed. With the known displacements of boundary tissues and the force distribution ，the Young*s modulus is calculated by constructing the unit system and using the inverse finite element method （IFEM ）. Then a tough range of modulus for the whole tissue is estimated referring the value obtained before. The improved particle swarm optimizer （PSO ）method is adopted to calculate the whole Yong*s modulus distribution. The repetitious numerical simulation shows that errors in boundary displace- ment are not very sensitive to the estimation of next process ；a final feasible solution is obtained by the improved PSO method which is close to the theoretical values during search