论文标题
使用组件减少订单模型对晶格样结构的应力约束拓扑优化
Stress-constrained topology optimization of lattice-like structures using component-wise reduced order models
论文作者
论文摘要
类似晶格的结构可以提供高刚度与轻质重量的结合，这在许多应用中很有用，但是这种结构的解决有限元网格会导致计算昂贵的离散化。在多次应用中，例如优化，这项计算费用可能尤其负担。我们为晶格样结构开发了应力约束的拓扑优化方法，该方法将组件的降低订单模型用作廉价的替代物，提供了准确的应力场计算，同时大大减少了相对于完整阶模型的运行时间。我们证明了我们方法在一对测试问题中对最大应力的限制的限制，从而产生大量质量的能力。与完整的静态冷凝水相比，ROM方法在正向溶液中的加速度约为150倍，并且在松弛应力中提供的相对误差小于5％。
Lattice-like structures can provide a combination of high stiffness with light weight that is useful in many applications, but a resolved finite element mesh of such structures results in a computationally expensive discretization. This computational expense may be particularly burdensome in many-query applications, such as optimization. We develop a stress-constrained topology optimization method for lattice-like structures that uses component-wise reduced order models as a cheap surrogate, providing accurate computation of stress fields while greatly reducing run time relative to a full order model. We demonstrate the ability of our method to produce large reductions in mass while respecting a constraint on the maximum stress in a pair of test problems. The ROM methodology provides a speedup of about 150x in forward solves compared to full order static condensation and provides a relative error of less than 5% in the relaxed stress.
