应用粒子群-序列二次规划算法的结构可靠性优化  

An Optimal Design of Structural Reliability Based on Particle Swarm Optimization-Sequential Quadratic Programming Algorithm

作　　者：唐承[1] 郭书祥[1] 莫延彧[2] 龚小平[1] 

机构地区：[1]空军工程大学理学院,西安700051 [2]空军工程大学航空航天工程学院,西安710038

出　　处：《空军工程大学学报（自然科学版）》2016年第2期107-111,共5页Journal of Air Force Engineering University(Natural Science Edition)

基　　金：国家自然科学基金(51175510)

摘　　要：针对粒子群算法在寻优过程中局部搜索能力较差、后期收敛慢的缺点,提出使用序列二次规划法来改进粒子群算法的局部搜索性能。该混合算法既保持了粒子群算法全局收敛的特点,又补充了序列二次规划法精确求解的能力,因此该算法可以快速获取全局最优解。应用于经典测试函数,可得到较高精度的最优解,验证了算法的有效性。对实际齿轮减速器进行结构可靠性优化设计,建立了结构可靠度约束下最小体积的优化模型,并用该混合算法方法进行优化计算,仿真计算结果表明:该方法解决结构可靠性优化问题是合理有效的。In the light of the shortcomings that particle swarm optimization （PSO） algorithm is poor in locally searching ability in the process of optimization, and/or is slow in speed of convergence in later period, a sequential quadratic programming （SQP） integrated particle swarm optimization algorithm （PSO- SQP） is presented. The proposed method not only keeps the characteristics of globally converging of PSO, but also compensates SQP for the effective local search ability, and simultaneously obtains the global opti- mal result quickly. The method applied to the classic test function can get the optimal solution of high precision. An optimization design of structural reliability for gear reducer is made, and its mathematical model is built up based on PSO-SQP. The results show that this method is reasonable and effective in solving the problems of reliability optimal design.

关 键 词：结构可靠性 优化设计 粒子群算法 序列二次规划法 

分 类 号：TB114.3[理学—概率论与数理统计] TU318[理学—数学]