摘要
在涡旋型线设计研究中,针对型线表达形式各异、缺乏简洁有效的型线通用模型这一弊端,本文运用矢函数和微分几何理论建立了集成涡旋型线函数方程,该方程打破了传统型线研究中一种型线对应一种模型的局面,不但能涵盖圆弧型线、基圆渐开线和变径基圆渐开线等典型型线,而且还能构造出新型高效的涡旋型线;通过研究该函数方程中的控制系数变化规律,得到了控制系数与动、静涡旋型线几何性能的映射关系;总结出了控制系数的优选策略,利用这些优选策略能挑选出一系列符合要求的涡旋型线,可根据涡旋压缩机的设计需求从中选出某一种性能良好的涡旋型线。
In the design of scroll profiles,aiming at the drawback of profiles:different in expression form and lack of concise and effective profile general model,firstly,integration scroll profile equation is established by vector function and differential geometry theory.The equation breaks the situation that one profile corresponds to one model in the traditional profile study,this equation can not only include circular arc profile,base circle involute and variable radius base circle involute,but can construct new and efficient scroll profiles as well.Then,the mapping relationship between the control coefficients and the geometric performances of the orbiting and the fixed scroll profiles is obtained by studying the change rule of the control coefficients in the function equation.Finally,the strategies of optimum selection for control coefficients are summarized,a series of scroll profiles which satisfy the requirements can be selected with these strategies of optimum selection,and one of the scroll profiles with optimum performance can be sorted out according to the design requirement of the scroll compressor.
作者
侯才生
刘涛
Hou Caisheng;Liu Tao(School of Mechanical and Electrical Engineering,Lanzhou University of Technology,Lanzhou 730050,China)
出处
《机械科学与技术》
CSCD
北大核心
2019年第7期1055-1060,共6页
Mechanical Science and Technology for Aerospace Engineering
基金
国家自然科学基金项目(51665035)资助
关键词
涡旋型线
集成
控制系数
优选策略
scroll profile
integration
control coefficient
strategy of optimum selection
