摘要
提出一种利用水平集方法进行均布式柔性机构设计的新方法。根据水平集边界表达方法中具有几何信息的特点,将图像分析中的二次能量函数引入到水平集模型中,以控制柔性机构拓扑优化设计结果的几何尺寸,得到等宽带状均布的柔性机构,较好地解决了传统柔性机构拓扑优化中容易出现单点铰链问题。应用半隐式的加性分裂算子(AOS)算法求解水平集方程,松弛了逆风格式中CFL(Courant-Frie drichs-Lewy)条件对时间步长的限制,提高了求解效率。通过一个典型的二维算例来验证方法的有效性。
A new method for designing the distributed compliant mechanisms is presented based on level set method. The quadratic energy function used in image analysis is introduced into the level set model to control the minimal geometrical dimension of the compliant mechansim optimized results and gain a strip-like even-distributed compliant mechanisms, which solves well the problems of one-node-connected hinges that exit in the conventional topology optimization of compliant mechanism. A semi-implicit additive operator splitting （AOS） scheme is adopted to solve the level set equation. In this method the time step decided by the CFL condition in the Up-wind scheme is clearly relaxed and it improves the efficiency of the optimization arithmetic. A typical two dimensional example is applied to demonstrate the validity of the presented method.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2009年第6期804-810,共7页
Chinese Journal of Computational Mechanics
基金
国家'高档数控机床与基础制造装备'科技重大专项(2009ZX040001-015)
国家'863'高技术研究发展计划(2006AA04Z162)
国家自然科学基金(50975107)资助项目
关键词
水平集方法
柔性机构
拓扑优化
二次能量函数
加性算子分裂算法
逆风格式
level set method
topology optimization
quadratic energy function
additive operator splitting （AOS） scheme
up-wind scheme
