混合高阶傅里叶非圆齿轮驱动的差速泵多目标参数优化

Multi-objective Optimization of Mixed High-order Fourier Non-circular Gear-driven Differential Pump

混合高阶傅里叶非圆齿轮驱动的差速泵,排量、脉动率和齿轮不根切最大模数等性能指标影响因素复杂,为了方便快捷地获得最佳参数,建立混合高阶非圆齿轮阶数与差速泵叶片参数的基本关系和混合高阶傅里叶非圆齿轮传动数学模型;建立了排量、脉动率和不根切最大模数的子目标函数,使用功效系数法建立差速泵性能的多目标评价函数,采用遗传算法求解多目标函数,得到相同泵腔尺寸下具有最大排量和最小脉动率的满足不根切最大模数大于1.5的混合高阶傅里叶非圆齿轮阶数比和节曲线参数非劣解,优化后的差速泵最小脉动率为22.04%,排量为3 870.44 m L,相比已有文献,脉动率降低11.3%,排量增加3%。

The mixed high-order Fourier non-circular gear-driven differential pump has some performance indexes such as discharge,flow pulsation and the maximum modulus of non-circular gear undercut which have many complex influential factors. In order to obtain the best parameters,the basic relations between the order of Fourier non-circular gear and parameters of vanes were established. The mixed high-order Fourier non-circular gear transmission model was built. The sub-objective functions of displacement and flow pulsation,and the maximum modulus of non-circular gear undercut were presented. The target evaluation function using the efficacy coefficient method was put forward. And then the multi-objective optimization method was designed based on genetic algorithm to obtain non-inferior solutions when the mixed high-order Fourier non-circular gear-driven differential pump has the maximum capacity and the minimum pulsation rate which meets the requirement that the maximum modulus of non-circular gear undercut was more than 1. 5 in the same pump cavity size. The flow pulsation rate of the optimized differential pump was 22. 04% and the displacement was 3 870. 44 m L. Thus,the flow pulsation rate was decreased by 11. 3% and the displacement was increased by 3% compared with the existed study.