摘要
在优化准则法的基础上,提出一种基于比例微分控制思想的优化准则方法(proportional anddifferential optimality criterion,PDOC),并将其运用到拓扑优化设计中。针对优化准则法求解速度慢以及因误差的未知性所引起的超调现象,PDOC法通过引入比例微分控制来改进迭代算子,构造更合理的数值迭代公式以加快收敛。利用加入比例微分控制的求解算法,计算新的材料密度分布,以预测误差的变化趋势,提前抑制误差,有效避免求解过程中的震荡和超调现象,进而提高求解速度。最后,通过实验验证了PDOC方法的有效性和正确性。
Based on optimality criterion method,a proportional and differential optimality criterion（PDOC） method was proposed and applied in topology optimization design.Since the phenomenon of low efficiency and overshoot caused by the uncertain deviation,this method introduced the proportional and differential control to improve the iteration operator,and constructed more reasonable iteration formula to accelerate the convergence.A new algorithm was utilized to calculate the density distribution of new material,so the trend of deviation can be predicted and corrected in advance.Finally,experimental results indicate that PDOC method is feasible and efficient.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2011年第3期345-350,共6页
China Mechanical Engineering
基金
国家自然科学基金资助项目(50705032)
教育部新世纪优秀人才计划资助项目(NCET-08-0232)
国家高技术研究发展计划(863计划)资助项目(2007AA04Z120)
关键词
拓扑优化
优化准则法
迭代算子
比例微分控制
topology optimization
optimality criteria method
iteration operator
proportional and differential control
