摘要
为了研究不同过滤函数对应力约束下连续体结构拓扑优化问题的影响,基于ICM(独立、连续、映射)方法,探究了过滤函数的意义及引入过程,并着重研究了单元质量、刚度和许用应力等3种幂函数形式的过滤函数在优化模型的建立与求解中的作用.通过数值试验,分析讨论了以上3种过滤函数对最优拓扑结构的影响.数值结果表明:在优化模型中,选择合理的过滤函数可以获得高效而理想的拓扑构型.
To study the effects of different filter functions on topology optimization of continuous structures with stress constraints, based on the ICM（Independent, Continuous, Mapping）method, the present work will focus on the investigation into the meaning and introduction of filter function, as well as the role of power type filter functions of elemental weight, stiffness and allowable stress in optimization modeling and solution. In addition, the effects of three filter functions on the optimal topology configurations are analyzed and discussed by numerical experiments, of which results show, the efficient and ideal topology can be achieved by reasonable selection of filter functions in optimization model.
出处
《北京工业大学学报》
CAS
CSCD
北大核心
2013年第3期321-330,共10页
Journal of Beijing University of Technology
基金
国家自然科学基金资助项目(11072009)
大连理工大学工业装备结构分析国家重点实验室基金资助项目(GZ1008)
关键词
拓扑优化
ICM方法
应力约束
过滤函数
连续体
topology optimization
ICM method
stress constraint
filter function
continuum
