基于离散惩罚粒子群算法的波纹管优化设计

Bellow optimum design based on discrete penalty particle swarm optimization

以《美国膨胀节制造商协会标准》(EJMA)最新版为依据,建立了波纹管优化设计的数学模型。为获得波纹管优化设计的全局最优解,将粒子群算法与离散惩罚函数法相结合,构建了离散惩罚粒子群算法,并提出更新离散惩罚因子的策略。利用上述模型和方法,对公称直径400～1000mm的某系列U形波纹管进行优化设计,优化目标E/Q值比在线产品E/Q值提高了19.0%～99.1%,表明这种算法能有效地解决目前波纹管设计中存在的问题。

A reasonable mathematical model of bellow optimum design is established according to the newest standard of EJMA(Standards of the Expansion Joint Manufactures Association).A discrete penalty PSO(Particle Swarm Optimization) is proposed to gain the global optimum of bellow design in which discrete penalty function is employed and new updating scheme of discrete penalty factors is proposed.The proposed approach and mathematical models are examined by numerical examples.Comparing the optimum results with the products in-service,the objective function E/Q is increased by 19%~99.1%,and the optimum results are close to the theory solutions.It shows that the proposed approach is valid and the established mathematical model of bellow is correct,they can be used to solve the problem of bellow optimum design successfully and effectively.