Continuity Condition of Profiles for Internal-Meshing Cycloid Rotary Compressor

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Continuity Condition of Profiles for Internal-Meshing Cycloid Rotary Compressor

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- Continuity Condition of Profiles for Internal-Meshing Cycloid Rotary Compressor
- Vol. 43, Issue 1, Pages: 34-37+42(2009)
- 作者机构：
  
  西安交通大学能源与动力工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TH45
- Online First：10 January 2009，
  
  Published：2009
- 稿件说明：
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Continuity Condition of Profiles for Internal-Meshing Cycloid Rotary Compressor[J]. 2009, 43(1): 34-37+42.
DOI：

Continuity Condition of Profiles for Internal-Meshing Cycloid Rotary Compressor[J]. 2009, 43(1): 34-37+42. DOI：

摘要

为了得到内啮合摆线转子压缩机结构参数对内转子型线连续性影响的关系

首先采用显式参数方程建立了内外转子型线方程

分析了能够构成型线的最基本条件.考虑到内转子型线方程的复杂性

根据Frenet定义

通过推导短幅外摆线曲率和曲率半径的方式

间接地得到了内转子各点的曲率和曲率半径

分析了型线上曲率半径的极值点

将其分为3种不同情况进行讨论

最终得到了内转子型线无过切的判定依据.根据给定的内外转子齿数、基圆半径和齿顶圆半径等基本结构参数

通过所得到的判定依据

可直接显式计算出合理的偏心矩范围.所研究的结果和文献上已有研究结果基本一致

但研究过程的几何意义更加明确

得到的结论涵盖了已有文献尚未包括的情况

可为内啮合摆线式流体机械的设计提供一定的理论参考.

Abstract

In order to obtain the relationship between structure parameters of internal-meshing cycloid rotary compressors and the continuity of the inner rotor profiles

explicit parametric equations of the inner and outer rotors' profiles were established and the essential condition to build up profiles was analyzed. Due to the complexity of the inner rotors profiles

in accordance with Frenet law

the curvature and the curvature radius on the profile of the inner rotor were obtained by the derivation of the curvature and the curvature radius on the curtate epicycloid. Limit points of the curvature radius on the profile of the inner rotor were discussed in three different conditions. In addition

the non-undercutting criteria were achieved which could be used to explicitly calculate the reasonable range of the eccentricity based on the given teeth number

radius of base circle

and radius of addendum circle. The results agree with the data in literature

however

this approach has more clear geometric significance.

关键词

Keywords

references

MIMMI G C,PENNACCHI P E. Non-undercutting conditions in internal gears[J]. Mechanism and Machinery Theory, 2000, 35(4): 477-490.

YE Zhonghe, ZHANG Wei, HUANG Qinghai,et al. Simple explicit formulae for calculating limit dimensions to avoid undercutting in the rotor of a cycloid rotor pump[J]. Mechanism and Machinery Theory, 2006, 41(9): 405-414.

郁永章,张旭东. 一种新型全平衡高强度转子式压缩机的几何关系[J].西安交通大学学报,2001, 35(11):1193-1197.

YU Yongzhang, ZHANG Xudong. Geometry relations of a new rotary compressor[J]. Journal of Xi'an Jiaotong University, 2001, 35(11): 1193-1197.

苏步青,华宣积,忻元龙.实用微分几何引论[M]. 北京:科学出版社,1986.

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Related Institution

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