基于高困油性能的齿轮泵多目标优化设计

Multi-objective Optimization Design of Gear Pump with High Trapped-oil Performance

研究了解决齿轮泵高速化下困油压力缓解的优化设计。以模数、齿数和变位系数为优化变量,通过对最大困油流量和最大卸荷面积的分析,建立困油缓解的两大目标函数;结合泵现有针对流量脉动率和单位排量体积与径向力方面的要求,采用SUMT技术构建优化模型;就优化前后的不同结果,分别进行困油压力的仿真分析与验证。结果表明,模数越大,齿数和变位系数越小,最大卸荷面积越大,有利于困油现象的缓解;但齿数和变位系数越小,最大困油流量却越大,不利困油现象的缓解,存在一个优化的问题;案例优化前的仿真结果与测试结果比较吻合,误差控制在4.9%左右,说明了困油模型的可靠性;最大困油压力优化前后降低了65.41%,缓解效果明显。

The optimization design for solving trapped-oil pressure relief of gear pump under higher speed is studied,taking the modulus,tooth number and modification coefficient as optimization variable,by the analysis of the maximum trapped-oil volume and maximum relief area,the two objective functions of are established releasing the trapped-oil pressure. Combining with the current requirements of the flow pulsation rate and the pump volume per unit rated flow and the radial force corresponding of external gear pump,the optimization model is built by using the SUMT technology that full name is sequential unconstrained minimization technique.Aiming at the result before optimization and after,the simulation analysis and verification of trapped oil pressures are respectively carried out. The results indicate that,the larger the modulus is and the smaller the tooth number and the modification coefficient are,the larger the maximum relief area is and the better the relief effect of trapped-oil pressure is. The smaller the tooth number and the modification coefficient are,the larger the maximum trapped-oil flow is and the worse the relief effect of trapped-oil pressure is,so an optimization problem is existed. The simulation result of an example is consistent with the experimental results provided by the literature before the optimization design,and the error between the experimental results and the simulation results is controlled in near 4. 9%,the reliability of the trapped-oil model is validated. After the optimization design,the value of the maximum trapped-oil pressure is reduced by 65. 41%,the relief effect of trapped-oil pressure is obvious.