基于圆渐开线建立变截面涡旋齿的方法与理论  

Method and theory of establishing variable thickness scrolls based on circle involute

作　　者：张朋成[1] 彭斌[1] 张宇波 ZHANG Peng-cheng;PENG Bin;ZHANG Yu-bo(School of Mechanical and Electrical Engineering,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]兰州理工大学机电工程学院,兰州730050

出　　处：《吉林大学学报（工学版）》2022年第4期789-798,共10页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(51675254,51966009);国家重点研发计划“科技助力经济2020”重点专项项目(SQ2020YFF0420989);兰州理工大学优秀博士学位论文培育计划资助项目。

摘　　要：根据圆渐开线的性质,提出一种由不同圆渐开线组合的新型变截面涡旋齿的建立方法。详细论述了型线的生成方法,阐述了建立基线的基本条件,推导出型线的一般方程,给出2种计算容积的方法,讨论正确生成内、外壁型线的控制变量取值范围。根据不同要求可快速建立一系列圆渐开线变截面涡旋齿的几何模型,为变截面涡旋齿型线的研究拓宽了思路。研究结果表明:相比传统的变截面涡旋齿几何模型的建立方法,提出的新型变截面涡旋齿的建立方法不但具有传统变截面涡旋齿的优点,而且减少了建立变截面涡旋齿的计算量,在一定程度上降低了变截面涡旋齿的加工难度,扩大了变截面涡旋压缩机或膨胀机的实际应用。According to the nature of the circle involute,a new method of variable thickness scroll composed of different circle involutes is proposed.The method of generating the profile is discussed in detail.The basic conditions for establishing the baseline are expounded.The general equations of the profile are derived.Two methods for calculating the volume are given.The range of control variables for correctly generating the inner and outer profiles is discussed.According to different requirements,a series of geometric models of circle involute variable thickness scroll can be quickly established,which broadens the research on variable thickness profile.The results show that,compared with the traditional method of establishing the variable thickness scroll geometry model,the new method not only has the advantages of traditional variable thickness scroll,but also reduces the calculation of establishing variable cross-section scroll,reduces the machining difficulty of variable cross-section scroll to a certain extent,and expands the practical application of variable thickness scroll compress or expander.

关 键 词：机械设计 圆渐开线 涡旋齿 变截面 几何模型 涡旋压缩机 涡旋膨胀机 

分 类 号：TH45[机械工程—机械制造及自动化]