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基于ICM方法三维连续体结构拓扑优化
引用本文:叶红玲,隋允康.基于ICM方法三维连续体结构拓扑优化[J].固体力学学报,2006,27(4):387-393.
作者姓名:叶红玲  隋允康
作者单位:北京工业大学工程数值模拟中心,北京,100022
基金项目:国家自然科学基金(10472003),北京市自然科学基金(3042002),北京市教委(KM200410005019)项目资助,美国MSC公司支持的课题
摘    要:基于ICM方法,建立了在应力和位移约束下以重量为目标的多工况下的三维连续体结构拓扑优化模型.利用von Mises强度理论,提出了应力全局化的方法,从而将局部的应力约束转化为全局的应变能约束问题,减少了约束数目,避免了敏度分析的困难;利用单位虚载荷法,将位移约束表示为设计变量的显式关系.为减小由于不同物理量在数量级上相差太大引起数值计算的误差,将应变能约束和位移约束进行无量纲化,由此建立了包含两类约束的无量纲化的优化模型.同时处理了多工况下的最佳传力路径的问题.利用对偶规划理论对模型进行了求解.另外,利用PCL语言在MSC/Patran的开发平台上实现了该文算法.数值算例表明了该方法的可行性和有效性.

关 键 词:结构拓扑优化  应力约束全局化  位移约束  ICM方法  连续体
收稿时间:2005-04-21
修稿时间:2006-06-26

ICM-BASED TOPOLOGICAL OPTIMIZATION OF THREE-DIMENSIONAL CONTINUUM STRUCTURE
Ye Hongling,Sui Yunkang.ICM-BASED TOPOLOGICAL OPTIMIZATION OF THREE-DIMENSIONAL CONTINUUM STRUCTURE[J].Acta Mechnica Solida Sinica,2006,27(4):387-393.
Authors:Ye Hongling  Sui Yunkang
Institution:Numerical Simulation Center for Engineering, Beijing University of Technology, Beijing, 100022
Abstract:The optimal topology model of three-dimensional continuum structure based on ICM is established(Independent Continuous Mapping)method,which refers to weight as objective and subjected to stress constraints and displacement constraints with multi-load-cases.A globalization of stress constraints is proposed by virtue of the von Mises' yield criterion;Thus,transformation of the local stress constraints of element into the global stain energy constraints of structure is achieved.As a result,the numbers of constraints is reduced,and the complexity of the sensitivity analysis is decreased.An explicit expression of displacement with respect to the topological variables is formulated by using unit virtual load method.In order to decrease the error of numerical calculation generated by the order magnitude between different physical quantities,the optimal model with two types of dimensionless constraints,is further derived for continuum structure with stress constraints and displacement constraints.Furthermore,the best path transmitted force in the multiple load cases is selected successfully.The dual quadratic programming is applied to solving the optimal model of continuum.In addition,the present optimal model and its algorithm have been implemented by means of the MSC/Patran software platform using PCL(Patran Command Language).Numerical examples indicate that the method is effective feasible and efficient.
Keywords:structural topological optimization  globalization of stress constraints  displacement constraints  ICM method  continuum structure
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