连续体结构拓扑优化方法在骨骼重建中的应用  

Topological Optimization Method of Continuum Structure in Bone Remodelling

作　　者：倪君杰[1] 叶红玲[1] 隋允康[1] 

机构地区：[1]北京工业大学机械工程与应用电子技术学院,北京100124

出　　处：《北京生物医学工程》2009年第3期236-241,共6页Beijing Biomedical Engineering

基　　金：国家自然科学基金项目（10472003）、高校博士点基金（20060005010）、北京工业大学博士科研启动经费（52001015200503）资动

摘　　要：借助连续体结构拓扑优化理论,将遵从Wolff法则生长的骨骼看成待优化的连续体拓扑结构,对骨骼重建进行了数值模拟和优化。利用ICM（independent,continuous,mapping）方法,建立了以质量为目标,以应变能为约束的骨重建连续体结构优化模型。为减少约束数目,运用对偶理论建立了对偶二次规划模型,并依据库恩-塔克条件进行了求解。数值算例表明了该方法的可行性与有效性。In this paper, a new method for topology optimization of continuum structure is taking advantage in bone remodeling field. The continuum structure is optimized as a piece of bone which obeys Wolff＇ s law. The topology optimization model of continuum structure based on ICM （ independent continuous mapping） method which refers to mass as objective and subjected to the stain energy constraints is suggested. The dual quadratic programming is applied for to reduce the number of constraints, solve the optimal model of continuum according to Kuhn-Tucker condition. Numerical examples indicate that the method is effective and efficient.

关 键 词：连续体结构 骨骼重建 优化 拓扑 

分 类 号：R318.01[医药卫生—生物医学工程]