摘要
为实现罗茨泵渐开线转子副的造型参数化与尺寸最优化,基于渐开线的成形原理,从几何关系、理论型线、取值范围、实际型线和参数化模型等方面,给出实际型线的全参数化坐标方程与3D模型的构建方法;以节圆半径和形状系数为设计变量,转子副所占方体空间的最小体积为目标函数,构建优化模型和实例分析.结果表明,峰圆弧与谷圆弧仅为型线的过渡曲线,并不参与啮合运动;三维模型验证,均能实现零件与装配件的全参数化;容积利用系数的拟合精度高,4阶的多项式拟合能满足设计要求;实例参数下,105 mm节圆半径和1.367形状系数的优化结果,说明转子尺寸优选的必要性.
In order to achieve the shaped - profiles parameterization and design optimization of involute ro-tor pairs for roots pump and based on the forming principle of involute, the paper,from five aspects of geo-metric relationship, theoretical involute shaped- profiles, value range of shape coefficient, practical involute shaped-profiles and parametric model, proposes the full parametric coordinate equation of involute shaped- profiles and its corresponding 3D model construction method.Then by using pitch circle radius and shape coefficient as two design variables, the minimum wrapping cube space volume of rotor pair as an objective function, the optimized model is constructed and a case study is done. All results show that the peak-arc and the valley-arc are only served as transition curve not engaged in the meshing movement; the full param-eterization of single part and assembly rotor parts can be realized in corresponding 3D parametric model ex-periments .The fitting accuracy of the volume utilization coefficient is high, so that the four-order polynomial fitting is needed to meet the design requirements. The optimization results obtained under the condition of the optimal pitch circular radius of 105 mm and the optimal shape coefficient of 1.367 illustrate the neces-sity of optimization of the rotor size. It is concluded that the full parametric modeling methods and design method can be used for other shape rotor of roots pump.
作者
李玉龙
冉光泽
张宸赫
LI Yulong;RAN Guangze;ZHANG Chenhao(School of Mechanical Engineering, Chengdu University, Chengdu 610106, China)
出处
《成都大学学报（自然科学版）》
2017年第4期398-401,共4页
Journal of Chengdu University（Natural Science Edition）
基金
四川省教育厅自然科学基金(16ZA0382)资助项目
关键词
罗茨泵
渐开线转子
造型参数化
容积利用系数
设计最优化
roots pump
involute rotor
parametric shaped-profiles
volume utilization coefficient
design op-timization
