Dynamic Reliability-Based Design Optimization using Quantum-Inspired Algorithm and Probability Density Evolution Method Assisted by Change of Probability Measure Strategy

Abstract

Dynamic reliability-based design optimization (DRBDO) is a promising design optimization approach for dynamic structures, when inherent uncertainties are involved in structural parameters and external excitations. This study presents an effective quantum-inspired method to solve the DRBDO problems. In particular, the probability density evolution method (PDEM) is employed for dynamic reliability assessment and the quantum particle swarm optimization (QPSO) algorithm is adopted to solve the optimization problems. To further enhance the efficiency in assessing structural dynamic reliability, the change of probability measure (COM) strategy is incorporated into the PDEM to reuse the information during the optimization process. With this strategy, the number of structural analyses can be significantly reduced. A numerical example concerning the optimization of a nonlinear frame is conducted to demonstrate the effectiveness and efficiency of the proposed method.