中文摘要：

为提高结构可靠性优化设计的效率,利用粒子群优化（PSO）和差分进化（DE）算法的搜索特性,构造一种PSO-DE混合算法,以克服基本PSO算法的早熟问题.将PSO-DE混合算法与结构可靠性优化理论相结合,建立了结构系统失效概率约束下以结构质量最小化为目标的优化模型.算例结果表明：与基本PSO算法相比,文中提出的PSO-DE混合算法提高了收敛速度和计算精度;该算法易于实现,鲁棒性好.

英文摘要：

In order to enhance the efficiency of structural reliability-based optimization design,a PSO-DE hybrid algorithm is proposed on the basis of search features of the particle swarm optimization（PSO） and differential evolution（DE） algorithms.This algorithm overcomes the premature convergence of basic PSO algorithm.Moreover,by combining the PSO-DE hybrid algorithm with the structural reliability-based optimization theory,an optimization model is established to minimize the structure mass under the constraint of structural system failure probability.Case analyses show that,in comparison with the basic PSO algorithm,the proposed PSO-DE hybrid algorithm improves the convergence rate and the computational accuracy,and the algorithm is easy to implement with strong robustness.