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拓扑优化(SIMP)

拓扑优化是一种计算方法,用于在设计空间内最优地分布材料,以在最小化重量或成本的同时最大化结构性能(强度、刚度)。SIMP(Solid Isotropic Material with Penalization,具有惩罚的实体各向同性材料)方法由 Bendsoe 和 Kikuchi (1988) 开发,利用灵敏度分析和基于梯度的优化,迭代地优化设计域内的材料密度分布。SIMP 通过自动化高效结构的生成,彻底改变了航空航天、汽车和机械工程领域的结构设计。

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来源

  1. Bendsoe, M. P., & Kikuchi, N. (1988). Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering, 71(2), 197-224. link
  2. Rozvany, G. I. N. (2009). A critical review of established methods of structural topology optimization. Structural and Multidisciplinary Optimization, 37(2), 217-237. DOI: 10.1007/s00158-007-0217-0
  3. Deaton, J. D., & Grandhi, R. V. (2014). A survey of structural and multidisciplinary continuum topology optimization: post 2000. Structural and Multidisciplinary Optimization, 49(1), 1-38. DOI: 10.1007/s00158-013-0956-z
  4. Bendsoe, M. P., & Sigmund, O. (2003). Topology Optimization: Theory, Methods and Applications. Springer. link

如何引用本页

ScholarGate. (2026, June 3). Topology Optimization (Solid Isotropic Material with Penalization - SIMP). ScholarGate. https://scholargate.app/zh/reliability-engineering/topology-optimization

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ScholarGateTopology Optimization (Topology Optimization (Solid Isotropic Material with Penalization - SIMP)). 于 2026-06-15 检索自 https://scholargate.app/zh/reliability-engineering/topology-optimization · 数据集: https://doi.org/10.5281/zenodo.20539026