Abstract
Multidisciplinary reliability is an important part of the reliability-based multidisciplinary design optimization (RBMDO). However, it usually has a considerable amount of calculation. The purpose of this paper is to improve the computational efficiency of multidisciplinary inverse reliability analysis. A multidisciplinary inverse reliability analysis method based on collaborative optimization with combination of linear approximations (CLA-CO) is proposed in this paper. In the proposed method, the multidisciplinary reliability assessment problem is first transformed into a problem of most probable failure point (MPP) search of inverse reliability, and then the process of searching for MPP of multidisciplinary inverse reliability is performed based on the framework of CLA-CO. This method improves the MPP searching process through two elements. One is treating the discipline analyses as the equality constraints in the subsystem optimization, and the other is using linear approximations corresponding to subsystem responses as the replacement of the consistency equality constraint in system optimization. With these two elements, the proposed method realizes the parallel analysis of each discipline, and it also has a higher computational efficiency. Additionally, there are no difficulties in applying the proposed method to problems with nonnormal distribution variables. One mathematical test problem and an electronic packaging problem are used to demonstrate the effectiveness of the proposed method.
Highlights
Reliability-based design optimization (RBDO) is a brand new optimum design method developed on the basis of conventional optimization method
Both efficient multidisciplinary reliability analysis (MRA) method and reasonable decouple strategy of the multidisciplinary design optimization (MDO) are effective ways to improve the computational efficiency of reliability-based multidisciplinary design optimization (RBMDO)
Padmanabhan and Batill [6] proposed a concurrent subspace method of RBMDO, which was on the basis of the concurrent subspace optimization (CSSO) strategy and reliability index approach (RIA)
Summary
Reliability-based design optimization (RBDO) is a brand new optimum design method developed on the basis of conventional optimization method. It organically combines the reliability analysis theory and mathematical programming methods [1, 2]. The classical RBMDO has a large amount of calculation due to the multilayer nested loops Both efficient MRA method and reasonable decouple strategy of the MDO are effective ways to improve the computational efficiency of RBMDO. For the reasonable decouple strategy of the MDO, Sues and Cesare [5] proposed a single circular order RBMDO framework, which separated the reliability analysis from the optimization calculation. Du et al [7]
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