CAJ | 학술논문

研究了基于自适应网格技术的结构拓扑优化.采用有限元离散设计域,单元节点密度作为设计变量.优化迭代过程中,根据设计域密度场信息对结构网格进行自适应加密和稀疏,使得材料分布边界处的网格加密,远离材料边界处的网格稀疏.同时,优化设计变量空间也随着网格的变化而变化.给出了拓扑优化中网格自适应加密和稀疏的准则,以及网格变化时结构密度场更新算法.算例结果表明提出的拓扑优化策略可以减少结构分析和优化求解的计算量,在同等结构分析和优化求解计算量下能够得到更好的拓扑结果.
연구료기우자괄응망격기술적결구탁복우화.채용유한원리산설계역,단원절점밀도작위설계변량.우화질대과정중,근거설계역밀도장신식대결구망격진행자괄응가밀화희소,사득재료분포변계처적망격가밀,원리재료변계처적망격희소.동시,우화설계변량공간야수착망격적변화이변화.급출료탁복우화중망격자괄응가밀화희소적준칙,이급망격변화시결구밀도장경신산법.산례결과표명제출적탁복우화책략가이감소결구분석화우화구해적계산량,재동등결구분석화우화구해계산량하능구득도경호적탁복결과.
The structural topology optimization based on adaptive mesh refinement is researched.The design domain is discretized into element,where the node density is the design variable.As the optimizatipn proceeds,the structural mesh gets refined or coarsened depending on the density field information of the design domain in order to refine the mesh near the material boundary and coarsen the mesh awav from the material boundary.At the same time,the design space changes with the change of structural mesh.The rule of adaptive mesh refinement and the algorithm of updating density field are proposed.The example result shows that the computation efficiency of structural analysis and optimization can be improved and the better topology result can be obtained with the same computational effort for structural analysis and optimization.