The damping material optimal placement for the structure with damping layer is studied based on evolutionary structural optimization (ESO) to maximize modal loss factors. A mathematical model is constructed with the o...The damping material optimal placement for the structure with damping layer is studied based on evolutionary structural optimization (ESO) to maximize modal loss factors. A mathematical model is constructed with the objective function defined as the maximum of modal loss factors of the structure and design constraints function defined as volume fraction of damping material. The optimal placement is found. Several examples are presented for verification. The results demonstrate that the method based on ESO is effective in solving the topology optimization of the structure with unconstrained damping layer and constrained damping layer. This optimization method suits for free and constrained damping structures.展开更多
利用扩展有限元法能够在结构内部出现缺陷时无需重新划分网格、简化有限元分析计算的特点,将其与拓扑优化相结合,计算在变密度法的SIMP(Solid isotropic microstructures with penalization)模型下的连续体结构拓扑优化.建立结构在体积...利用扩展有限元法能够在结构内部出现缺陷时无需重新划分网格、简化有限元分析计算的特点,将其与拓扑优化相结合,计算在变密度法的SIMP(Solid isotropic microstructures with penalization)模型下的连续体结构拓扑优化.建立结构在体积约束下的结构拓扑优化模型,将其与结合普通有限元的拓扑优化进行对比分析,对普通结构分析比较结果的一致性表明其对于结构拓扑优化问题的可用性.对有孔洞约束下的平面结构和壳体结构的分析结果表明其对于有缺陷结构拓扑优化问题的网格划分更加简单,最终拓扑图形不会产生由孔洞约束而产生的尖端和应力不均匀现象.展开更多
基金Science and Technology Foundation of China Academy of Engineering Physics (20060321)
文摘The damping material optimal placement for the structure with damping layer is studied based on evolutionary structural optimization (ESO) to maximize modal loss factors. A mathematical model is constructed with the objective function defined as the maximum of modal loss factors of the structure and design constraints function defined as volume fraction of damping material. The optimal placement is found. Several examples are presented for verification. The results demonstrate that the method based on ESO is effective in solving the topology optimization of the structure with unconstrained damping layer and constrained damping layer. This optimization method suits for free and constrained damping structures.
文摘利用扩展有限元法能够在结构内部出现缺陷时无需重新划分网格、简化有限元分析计算的特点,将其与拓扑优化相结合,计算在变密度法的SIMP(Solid isotropic microstructures with penalization)模型下的连续体结构拓扑优化.建立结构在体积约束下的结构拓扑优化模型,将其与结合普通有限元的拓扑优化进行对比分析,对普通结构分析比较结果的一致性表明其对于结构拓扑优化问题的可用性.对有孔洞约束下的平面结构和壳体结构的分析结果表明其对于有缺陷结构拓扑优化问题的网格划分更加简单,最终拓扑图形不会产生由孔洞约束而产生的尖端和应力不均匀现象.
