Evolutionary methods for topology optimisation of continuous structures with design dependent loads

Evolutionary methods for topology optimisation of continuous structures with design dependent loads
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DOI:
10.1016/j.compstruc.2004.10.011
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发表时间:
2005-05
影响因子:
4.7
通讯作者:
X. Y. Yang;Y. Xie;G. Steven
X. Y. Yang;Y. Xie;G. Steven
中科院分区:
工程技术2区
文献类型:
--
作者:
X. Y. Yang;Y. Xie;G. Steven

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进化结构优化(ESO)方法是基于这样一种理念,即通过逐步去除低效材料,结构向最佳方向发展。双向ESO (BESO)允许在演变中添加高效材料。研究了带全局刚度约束的连续体结构拓扑优化的ESO和BESO方法。本文在固定荷载条件下刚度优化研究的基础上,重点研究了考虑设计相关荷载的问题。这种依赖关系可能是由于传递载荷、结构自重和表面载荷的包含。对固定荷载条件下问题的灵敏度分析和进化方法进行了改进,以适应荷载变化条件。提出了若干例子以供验证。结果表明,ESO和BESO能有效地解决设计相关荷载的优化问题。BESO具有平衡求解质量和计算时间的灵活性。
Evolutionary structural optimisation (ESO) method is based on the idea that by gradually removing inefficient materials, the structure evolves towards an optimum. Bi-directional ESO (BESO) allows for adding efficient materials in the evolution. This paper investigates the ESO and BESO methods in solving the topology optimisation of continua structures with a constraint on the global stiffness. Based on the work on stiffness optimisation with fixed load conditions, this paper focuses on problems considering design dependent loads. The dependence can be due to transmissible loads, inclusions of structural self weight and surface loads. Sensitivity analysis and evolutionary procedure for problems of fixed load conditions are modified to accommodate the load variation condition. A number of examples are presented for verification. The results demonstrate that ESO and BESO are effective in solving the optimisation with design dependent loads. BESO has the flexibility of balancing solution quality and computing time.