A single‐loop method for reliability‐based design optimisation
Source: International Journal of Product Development, Volume 5, Numbers 1-2, 22 December 2007 , pp. 76-92(17)
Publisher: Inderscience Publishers
Abstract:Reliability‐based design optimisation (RBDO) can provide optimum designs in the presence of uncertainty. It can, therefore, be a powerful tool for design under uncertainty. The traditional, double‐loop RBDO algorithm requires nested optimisation loops, where the design optimisation (outer) loop repeatedly calls a series of reliability (inner) loops. Due to the nested optimisation loops, the computational effort can be prohibitive for practical problems. A single‐loop RBDO algorithm is proposed in this paper. Its accuracy is comparable with the double‐loop approach and its efficiency is almost equivalent to deterministic optimisation. It collapses the nested optimisation loops into an equivalent single‐loop optimisation process by using the Karush Kuhn Tucker optimality conditions of the inner reliability loops in the outer design optimisation loop, converting therefore the probabilistic optimisation problem into a deterministic optimisation problem. Two numerical applications, including an automotive vehicle side impact example, demonstrate the accuracy and superior efficiency of the proposed single‐loop RBDO algorithm.
Document Type: Research Article
Affiliations: 1: Mechanical Engineering Department, Oakland University, Rochester, MI 48309, USA. 2: Vehicle Development Research Lab, General Motors Research and Development Center, M/C: 480-106-256, 30500 Mound Road, Warren, MI 48090-9055, USA
Publication date: 2007-12-22