摘要
针对拓扑优化过程中计算精度对优化结果的影响,将自适应p型有限元与双向渐进结构拓扑优化BESO(Bidirectional Evolutionary Structural Optimization)相结合,根据误差控制参数设置,通过单元能量误差分析,自适应地提高单元阶次,有效改善有限元计算精度,并采用灵敏度过滤算法和稳定策略,减轻了棋盘格和迭代振荡现象。通过最小柔度拓扑优化问题实例的计算,验证了该方法的可行性,结果表明所提出方法可在较粗糙的网格下提高拓扑优化计算精度,得到更高的优化效率和更好的优化结果。
The adaptive p-version finite element method is combined with bi-directional evolutionary structural optimization(BESO)for the influence of calculation accuracy on the optimization result in the topology optimization process.According to the error control parameter setting,the element order is improved adaptively through the element energy error analysis,which effectively improves the finite element calculation accuracy,and the sensitivity filtering algorithm and the stabilization strategy are adopted to mitigate the checkerboard and iterative oscillation phenomenon.The feasibility of the method is verified by the example calculation of the minimum compliance topology optimization problem,the results show that the proposed method can improve the accuracy of topology optimization under rougher meshes,and obtain higher optimization efficiency and better optimization results.
作者
许娇娥
姚松
刘荣
XU JiaoE;YAO Song;LIU Rong(Key Laboratory of Traffic Safety on Track of Ministry of Education,School of Traffic and Transportation Engineering,Central South University,Changsha 410075,China)
出处
《机械强度》
CAS
CSCD
北大核心
2020年第3期597-603,共7页
Journal of Mechanical Strength
基金
国家重点研发计划项目(2016YFB1200602-33)资助。
关键词
自适应p型有限元
双向渐进结构优化
单元阶次
最小柔度
Adaptive p-version finite element method
Bi-directional evolutionary structural optimization
Element order
Minimum compliance
