2021/12/29 by Trung Pham, Pham, Trung, Christopher Hoyle +1
Computer Science · Decision Sciences · Engineering · #90-08 #Advanced Multi-Objective Optimization Algorithms #FOS: Mathematics #Optimization and Control (math.OC) #Probabilistic and Robust Engineering Design #Topology Optimization in Engineering
paper · pdf · doi:10.48550/arxiv.2201.00004
openalex publication_date 2021/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper proposes an algorithm to find robust reliability-based topology optimized designs under a random-field material model. The initial design domain is made of linear elastic material whose property, i.e., Young's modulus, is modeled by a random field. To facilitate computation, the Karhunen-Loève expansion discretizes the modeling random field into a small number of random variables. Robustness is achieved by optimizing a weighted sum of mean and standard deviation of a quantity of interest, while reliability is employed through a probabilistic constraint. The Smolyak-type sparse grid and the stochastic response surface method are applied to reduce computational cost. Furthermore, an efficient inverse-reliability algorithm is utilized to decouple the double-loop structure of reliability analysis. The proposed algorithm is tested on two common benchmark problems in literature. Finally, Monte Carlo simulation is used to validate the claimed robustness and reliability of optimized designs.