典型文献
Massively efficient filter for topology optimization based on the splitting of tensor product structure
文献摘要：
In this work,we put forward a massively efficient filter for topology optimization(TO)utilizing the splitting of tensor product structure.With the aid of splitting technique,the traditional weight matrices of B-splines and non-uniform rational B-spline implicit filters are decomposed equivalently into two or three submatrices,by which the sensitivity analysis is reformulated for the nodal design variables without altering the optimization process.Afterwards,an explicit sensitivity filter,which is decomposed by the splitting pipeline as that applied to implicit filter,is established in terms of the tensor product of the axial distances between adjacent element centroids,and the corresponding sensitivity analysis is derived for elemental design variables.According to the numerical results,the average updating time for the design variables is accelerated by two-order-of-magnitude for the decomposed filter compared with the traditional filter.In addition,the memory burden and computing time of the weight matrix are decreased by six-and three-order-of-magnitude for the decomposed filter.Therefore,the proposed filter is massively improved by the splitting of tensor product structure and delivers a much more efficient way of solving TO problems in the frameworks of isogeometric analysis and finite element analysis.
文献关键词：
中图分类号：
作者姓名：
Aodi YANG;Shuting WANG;Nianmeng LUO;Tifan XIONG;Xianda XIE
作者机构：
School of Mechanical Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,China
文献出处：
引用格式：
[1]Aodi YANG;Shuting WANG;Nianmeng LUO;Tifan XIONG;Xianda XIE-.Massively efficient filter for topology optimization based on the splitting of tensor product structure)[J].机械工程前沿,2022(04):178-200
A类：
Massively,submatrices
B类：
efficient,topology,optimization,splitting,tensor,product,structure,In,this,forward,massively,TO,utilizing,With,aid,technique,traditional,weight,splines,uniform,rational,implicit,filters,decomposed,equivalently,into,two,three,by,which,sensitivity,analysis,reformulated,nodal,design,variables,without,altering,process,Afterwards,explicit,pipeline,that,applied,established,terms,axial,distances,between,adjacent,centroids,corresponding,derived,elemental,According,numerical,results,average,updating,accelerated,order,magnitude,compared,addition,memory,burden,computing,matrix,decreased,six,Therefore,proposed,improved,delivers,much,more,way,solving,problems,frameworks,isogeometric,finite
AB值：
0.471695
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
