• CN:11-2187/TH
  • ISSN:0577-6686

›› 2007, Vol. 43 ›› Issue (3): 50-53.

• 论文 • 上一篇    下一篇

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基于泛函的涡旋型线共轭啮合理论

王立存;陈进;李世六;何景熙   

  1. 重庆大学机械传动国家重点实验室
  • 发布日期:2007-03-15

CONJUGATE MESHING THEORY OF SCROLL PROFILES BASED ON FUNCTIONAL EXPRESSION

WANG Licun;CHEN Jin;LI Shiliu;HE Jingxi   

  1. State Key Laboratory of Mechanical Transmissions, Chongqing University
  • Published:2007-03-15

摘要: 在涡旋压缩机涡旋型线设计研究中,针对单一涡旋型线受其固定数学模型固有特性的限制,并研究出通用涡旋型线的共轭啮合特征型线,分析平面曲线的啮合理论,研究共轭啮合型线的解析包络原理。对可取函数类基于泛函的涡旋型线的共轭啮合特性进行研究,建立基于泛函的涡旋型线的笛卡尔坐标表达式及其共轭型线的啮合条件,推导出基于泛函的涡旋型线的共轭啮合型线,动静涡旋型线特征几何中心距为r。根据通用涡旋型线的型线组合特性及级数系数收敛原则,给出具体算例,得到基于Matlab的涡旋型线及其共轭型线图形。基于泛函的涡旋型线共轭啮合研究为采用泛函理论的涡旋压型线研究提供了机会,拓宽了涡旋压缩机型线设计理论与方法研究的思路。

关键词: 泛函表达, 共轭啮合, 涡旋型线, 涡旋压缩机

Abstract: In the design study of scroll profiles, aiming at the restriction of single profile and its ameliorate or parameter optimization presently, for studying conjugation meshing scroll profiles of the general scroll profiles, the meshing theory of planar curve is analyzed and the analysis envelope method to seek conjugation meshing profiles is studied. The unified general functional equation of scroll profiles represents the admissible function scrolls, the conjugation meshing characteristic of which is studied. Then the meshing condition of conjugation profiles and the Cartesian coordinate expression of general functional integrate scroll profiles is educed. It is also general functional scroll profiles. Distance between characteristic geometric centers is r. Based on the combination characteristics of the general scroll profiles the example is given. And the plan of the scroll profiles and its conjugation profiles is gained based on the Matlab technology. The conjugation profiles of general functional integrate scrolls is obtained finally. It offers an opportunity for studying scrolls adopting the functional theory and the design theory and the method study of scrolls profiles is widen.

Key words: Conjugation meshing, Functional expression, Scroll compressor, Scroll profiles

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