Multi-Constrained Topology Optimization via The Topological Sensitivity

, Structural and Multidisciplinary Optimization

Recommended citation: Deng, Shiguang, and Krishnan Suresh. Structural and Multidisciplinary Optimization 51 (2015): 987-1001.

Abstract: The objective of this paper is to introduce and demonstrate a robust method for constrained multi-load topology optimization. The method is derived by combining the topological level-set with the classic augmented Lagrangian formulation. The primary advantages of the proposed method are: (1) it rests on well-established augmented Lagrangian formulation for constrained optimization, (2) the augmented topological level-set can be derived systematically for an arbitrary set of loads and constraints, and (3) the level-set can be updated efficiently. The method is illustrated through numerical experiments.