基于遗传算法的直线内啮合齿轮泵参数优化

摘要

基于齿轮泵的流量脉动率的计算公式是个多参数函数,无法用一般的函数解法求出函数值为最小时的参数最优解.文中针对直线内啮合齿轮泵的几何参数推出了新的流量脉动率公式.基于此公式引入遗传算法优化其几何参数,以齿轮泵的流量脉动率为目标函数,齿轮泵的模数、齿数、齿形半角、齿顶 高系数4个参数为设计变量,在满足函数最小值的条件下求出可行解.%The formula based on the gear pump flow pulsation rate is a multi-parameter function, which cannot get the optimal solution of parameters by the general function method.The paper introduces a new flow pulsation rate formula for the geometric parameters for the straight conjugate internal gear pump.The genetic algorithm is introduced to optimize the geometrical parameters with the gear pump flow pulsation rate as the objective function, and the number of modules, the number of teeth, the toothed half-width and the addendum coefficient as variables, thus obtaining a feasible solution that meets the condition in minimum.