%0 Journal Article
%T 涡旋压缩机通用涡旋型线啮合条件研究<br>Exploring Conjugate Meshing Conditions of General Scroll Profiles
%A 王立存
%A 张国进
%A 朱明
%A 聂新
%A 宋李俊
%A 绕鹏
%J 机械科学与技术
%D 2015
%X 针对涡旋压缩机研究领域中的通用型线啮合条件和型线方程相关理论的不完整性,总结了国内外文献关于控制方程和通用型线啮合条件的研究内容,利用平面曲线啮合、微分几何关系、向量计算等理论,根据涡旋压缩机实际工作原理建立了动静盘涡旋型线啮合的数学模型。分别利用动静盘涡旋型线向量表达式证明控制方程,给出讨论;用数学形式说明了通用型线啮合广义条件;通过求取动静盘涡旋型线在啮合点上的曲率半径,验证了以向量表示的型线啮合的必然性。综合以上研究总结得出了比较完整的涡旋型线共轭啮合条件及对应动静盘涡旋型线方程。<br>Because the general scroll profile conjugate meshing and the profile equation theory in the field of scroll compressor research are incomplete, we presented the related research information about control equation and general profile meshing conditions. Then we build a mathematical model of scroll profile conjugate meshing according to the actual work of the scroll compressor, which depends on the plane curve meshing theory, differential geometry and matrix algebra. The control equation was proved and discussed using vector expression; generalized meshing conditions of a general profile was illustrated in mathematical form; the certainty of scroll profile conjugate meshing in vector expression was verified through calculating the radius of curvature. Above all, full conditions of scroll profile conjugate meshing and the corresponding profile equations are given
%K 涡旋压缩机
%K 通用型线
%K 矩阵代数
%K 几何关系
%K MATLAB&lt
%K br&gt
%K calculations
%K compressors
%K geometry
%K mathematical models
%K MATLAB
%K matrix algebra
%K schematic diagrams
%K vectors
%K differential geometry
%K scroll compressor
%U http://journals.nwpu.edu.cn/jxkxyjs/CN/abstract/abstract6231.shtml