Abstract
The necessity of assessing uncertainties to guarantee safety in structural design arises the potential of reliability-based design optimisation (RBDO), which is a methodology based on reliability analysis and design optimisation through probabilistic models. RBDO differs from conventional design optimisation by the presence of probabilistic constraints, which are evaluated using reliability index approach (RIA) or performance measure approach (PMA). It is generally known that PMA is more stable and efficient than RIA. Despite the advantages brought by PMA, RBDO still requires excessive computational cost for large scale structures involving complex finite element analysis. Accordingly, this paper presents a new scheme for RBDO achieving improved stability and efficiency by combining response surface method with PMA. The moving least squares (MLS) method is used to approximate the limit state function. Applications to a mathematical example, the 10-bar truss problem and the vehicle side impact problem verify that the proposed method shows better convergence and efficiency than other approaches.
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