Profile Shaped-configuration of Convex Ellipse Rotor and Its Following High-shape Technology

Xiangjun Yang; Fuchun Sun

doi:10.16578/j.issn.1004.2539.2020.01.027

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Profile Shaped-configuration of Convex Ellipse Rotor and Its Following High-shape Technology

Development·Application | 更新时间：2022-11-10

- Profile Shaped-configuration of Convex Ellipse Rotor and Its Following High-shape Technology
- Journal of Mechanical Transmission Vol. 44, Issue 1, Pages: 163-167(2020)
- 作者机构：
  
  1.成都大学机械工程学院，四川成都 610106
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2020.01.027
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杨向莙,孙付春.椭圆弧凸转子的型线构造及进一步高形技术[J].机械传动,2020,44(01):163-167.

Yang Xiangjun Sun Fuchun.Profile Shaped-configuration of Convex Ellipse Rotor and Its Following High-shape Technology[J].Journal of Mechanical Transmission,2020,44(01):163-167.
杨向莙,孙付春.椭圆弧凸转子的型线构造及进一步高形技术[J].机械传动,2020,44(01):163-167. DOI： 10.16578/j.issn.1004.2539.2020.01.027.

Yang Xiangjun Sun Fuchun.Profile Shaped-configuration of Convex Ellipse Rotor and Its Following High-shape Technology[J].Journal of Mechanical Transmission,2020,44(01):163-167. DOI： 10.16578/j.issn.1004.2539.2020.01.027.

摘要

为提升罗茨泵的有效容积率，从高产与低漏两个角度，提出椭圆弧基础转子和高形转子的型线构建方法。基于椭圆方程和共轭原理及共轭临界条件，计算出椭圆弧的最佳轴长比和基础转子的最大形状系数；以从转子的顶角点恰好避开主转子的共轭工作段终点，计算出高形转子在给定顶圆角下的最大形状系数；并与特例的圆弧转子作高形方面的成果比较。结果表明，该椭圆弧基础转子和高形转子的型线构建方法在高产和防漏效果两方面都有显著提升，是解决罗茨泵椭圆弧的最佳轴长比和最大形状系数的根本性问题。

Abstract

For higher effective volume ratio of roots pump， from high output production and low inner leakage， the shaped-profile configuration of a ellipse basic rotor and its raised rotor of is constructed. Firstly， from ellipse coordinate equation of rotor shaped-profile and conjugate principle of rotor pairs and critical conjugate conditions， the optimum axial length ratio of ellipse arc and the maximum shape coefficient of basic rotor are calculated. Secondly， based on the geometric relationship when the endpoint of valley working shaped-profile on driving rotor is just perfect to avoid the peak corner point on driven rotor， the maximum shape factor of raised rotor under a given addendum angle is determined. Finally， all parameter coordinate equations of raised shaped-profiles are provided， and the comparative advantage results of raised rotor to common circular arc rotor is focused on. All results show that the elliptical arc foundation rotor and high-profile rotor profile construction method have significant improvement in both high yield and leakage prevention effects， and the fundamental problem of the optimal axial length ratio and maximum shape factor of the arcs arc of the Roots pump is solved.

关键词

罗茨泵椭圆凸转子型线构造最佳轴长比高形技术

Keywords

Roots pumpConvex ellipse rotorProfile shaped-configurationOptimum axial length ratioHigh-shape technology

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