基于正交标架矢量函数的涡旋机械集成型线研究  

Integration of Profile for Scroll Fluid Machine Based on Vector Function of Orthogonal Frame

作　　者：刘涛[1] 芮执元[1] 邬再新[2] 胡赤兵[1] 

机构地区：[1]兰州理工大学数字制造技术与应用省部共建教育部重点实验室,兰州730050 [2]兰州理工大学机电工程学院,兰州730050

出　　处：《农业机械学报》2010年第5期209-212,共4页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家自然科学基金资助项目(50965011);甘肃省自然科学基金资助项目(0710RJZA061);高等学校博士学科点专项科研基金资助项目(20050731002)

摘　　要：基于正交标架矢量函数理论,建立了满足条件的型线方程矢量函数通用表达式。深入研究了涡旋型线的啮合条件,阐述了构成涡旋型线所必须满足的基本啮合条件。从型线的笛卡尔坐标方程出发,以切向角函数集成形式表示曲率半径,推导出了曲率半径函数表示的型线微分方程。以4种典型型线为例,确定了曲率半径函数系数与广义展成半径和广义基圆半径之间的对应关系。示例给出了正三角形渐开线型线的曲率半径函数微分方程。以切向角函数表示的涡旋集成型线不但能涵盖现有型线种类,而且通过对切向角级数系数的优化和控制可构造性能更为优良的型线类型。Based on the theory of orthogonal frame,a general equation in form of vector function was established for scroll profile.Engagement condition of meshed profiles was derived.According to the parameter equation of Cartesian coordinate,the function of curvature radius could be expressed by integration of tangential angle.Curvature radius function based on differential equation of profile was deduced.Furthermore,demonstrated by four typical profiles,the corresponding relation among radius of curvature,general generating radius and general basic radius was determined.The differential equation for the involute of a regular triangle was demonstrated in form of function of radius of curvature.The integration profile could not only cover the existed profiles,but also be used to optimize properties of these profiles by controlling coefficients of series of tangential angles.The conclusions could be applied in flexible design of scroll fluid machine.

关 键 词：涡旋型线 正交标架 矢量函数 曲率半径 集成 

分 类 号：TH455[机械工程—机械制造及自动化]