基于增广拉格朗日乘子法的大型振动筛动态优化设计  

Dynamic Optimal Design of Large Vibrating Screen Based on an Augmented Lagrangian Method

作　　者：贺孝梅[1] 刘初升[1] 张成勇[2] 

机构地区：[1]中国矿业大学机电工程学院,江苏徐州221116 [2]中国矿业大学化工学院,江苏徐州221116

出　　处：《中国矿业大学学报》2009年第1期80-85,共6页Journal of China University of Mining & Technology

基　　金：国家自然科学基金项目(50574091;50774084)

摘　　要：将增广拉格朗日乘子法应用到大型振动筛结构动态优化设计中,通过优化设计法找寻加强筋在振动筛侧板上的最优布置,达到以最少筋板数满足低应力的要求.结果表明:增广拉格朗日乘子法收敛速度快,求解精度高,比优化程序中的罚函数法更适于求解此类问题.优化后的侧板重量降低了0.67%,最大动应力降低了23.17%,横向最大位移减小了18.69%,达到了比较好的优化效果.对优化后振动筛进行动态特性分析,其最大动应力降低了14.46%,横向最大位移减少了25.81%,增加了筛板的刚度,降低了变形,提高了结构的稳定性和可靠性.The Augmented lagrangian method was used in the dynamic optimal design of large vibrating screen to confirm the best position of reinforcing rib on the side plate, and the lower dynamic stress with the least number of reinforcing ribs was achieved. The results show that the algorithmic programme is of a faster convergent speed and a higher solving precision with an augmented lagrangian method which is more suitable for the optimization than penalty function method. After structure optimization, the weight of side plate was reduced by 3.47%, the maximum dynamic stress was decreased by 23.17% and the maximum lateral displacement was reduced by 18.69%. The dynamic characteristic analysis of optimal vibrating screen presents that the maximum dynamic stress was reduced by 14.46% and the maximum lateral displacement was decreased by 25.81%. The total stiffness of screen was increased, the deformation was reduced and structure stability and reliability were enhanced.

关 键 词：增广拉格朗日乘子法 大型振动筛 加强筋 优化设计 位置布置 

分 类 号：TD402[矿业工程—矿山机电]