采煤机牵引部减速机构多目标优化设计

Multi-objective optimization design of deceleration mechanism in haulage department of shearer

为优化采煤机牵引部减速机构,提出一种基于综合目标法的牵引部减速机构多目标优化设计方法。对牵引部减速机构分析后,确定径向总中心距、齿轮总宽度、大齿轮半径之差和齿轮总重合度等4个分目标函数、齿轮参数等10个优化变量、齿轮参数以及强度校核等26个约束条件,建立减速机构多目标优化的数学模型;通过线性加权法计算分目标函数的加权系数,对加权系数极小的分目标不作优化,将多目标优化函数综合为单目标优化函数;采用遗传算法嵌套非线性规划寻优算法求解减速机构实例。结果表明:齿轮总重合度函数加权系数极小,不对其优化;与牵引部减速机构传统计算结果相比,减速机构径向总中心距减小15.23%、齿轮总宽度减小12.31%、两级大齿轮齿顶圆半径之差减小38.89%。

In order to optimize the traction mechanism of shearer,a multi-objective optimization design method of traction mechanism based on comprehensive objective method was proposed.After analyzing the reduction mechanism of traction department,four sub-objective functions,ten optimization variables such as gear parameters,twenty-six constraint conditions such as total center distance of radial,total width of gear,difference of radius of big gear and total alignment degree of gear,etc.were determined,and a multi-objective optimization mathematical model of the reduction mechanism was established.The linear weighting method was used to calculate the weighting coefficient of the sub-objective function.Genetic algorithm nested nonlinear programming optimization algorithm was used to solve the example of deceleration mechanism.The results show that the weighting coefficient of the total gear coincidence function is very small and not optimized.Compared with the traditional calculation results of traction gear reducer,the radial total center distance of gear reducer decreases by 15.23%,the total width of gear decreases by 12.31%,and the radius difference of tooth tip circle of two-stage gear decreases by 38.89%.