连续体结构拓扑优化的高精度逼近ICM方法  

ICM METHOD WITH HIGH ACCURACY APPROXIMATION FOR TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES

作　　者：隋允康[1] 宣东海[1,2] 尚珍[1,2] 

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 [2]大连理工大学工业装备结构分析国家重点实验室,大连116023

出　　处：《力学学报》2011年第4期716-724,共9页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(10872012);大连理工大学工业装备结构分析国家重点实验室基金(GZ1008)资助项目~~

摘　　要：采用指数类函数为快滤函数的高精度逼近ICM(independent continuous and mapping)方法,建立了以结构重量为目标,应力和位移共同约束下的连续体结构拓扑优化模型.利用结构畸变比能的方法全局化应力约束,单位虚载荷法显式化位移约束,归一化约束以解决约束限数量级不一致的问题.针对不同性态的过滤函数,给出了指数类快滤函数参数的取值方法.单工况和多工况的算例表明了高精度逼近的ICM方法处理多种约束下连续体结构拓扑优化的可行性与有效性.The topology optimization model of continuum structures with stress and displacement constraints is formulated,applying ICM（Independent Continuous and Mapping）method of high accuracy approximation, in which the exponential type function is adopted as fast filter function.Stress constraints are globalized by use of structural distortional strain energy density.Displacement constraint is explicited by use of unit virtual load method.The constraints limit values are normalized to solve the order mismatch problem of two kinds of constraints.The parameter selection of fast filter functions of exponential type with different properties is given.The examples of single loading case and multiple loading case have shown that the ICM method of high accuracy approximation is available and efficient to solve the topology optimization of continuum structures with multiple constraint types.

关 键 词：结构优化 拓扑优化 应力和位移约束 高精度逼近 ICM方法 

分 类 号：TP31[自动化与计算机技术—计算机软件与理论] O34[自动化与计算机技术—计算机科学与技术]