摘要
以数学几何理论为基础,通过坐标变换和包络条件推导了阴阳转子的基本型线方程,建立了双齿气体循环泵的数学模型。研究了阴阳转子相互啮合时啮合点位置随阴转子转角的变化关系。采用了线积分的计算方法推导出工作容积的基元面积随转角的变化关系,可简化工作容积的计算难度。结果表明:在转角为0和π的时候,阴阳转子会形成一个封闭的无效区域导致了工作腔的基元面积随转角变化过程中的突升和突降。在吸气结束时,由于吸气腔相较于排气腔多了一个与吸气口相连的部分导致了基元面积的突降。这些基本几何理论的建立可为双齿气体循环泵的应用打下一定的理论基础。
Based on the mathematical geometry theory,the basic profile equations of the female-male rotor were derived through coordinate transformation and envelope conditions,and the mathematical model of the double-tooth gas circulation pump was established.The relationship between the position of the meshing point and the rotor angle of the female rotor with the meshing of the male and female rotors was studied.The calculation method of line integral was used to derive the relationship between the elementary area of the working volume and the rotor angle, which can simplify the calculation difficulty of the working volume.Results showed that when the rotor angles were 0 and π,the female and male rotors formed a closed invalid area,which led to the sudden rise and fall of the element area of the working cavity during the change of the rotor angle.At the end of inhalation,the suction chamber had an additional part connected to the suction port compared with the exhaust chamber,resulting in a sudden drop in the element area.The establishment of these basic geometric theories can lay a certain theoretical foundation for the application of double-tooth gas circulation pumps.
作者
冯诗愚
周利彪
朱珍昱
高秀峰
FENG Shiyu;ZHOU Libiao;ZHU Zhenyu;GAO Xiufeng(Key Laboratory of Aircraft Environment Control and Life Support of Ministry of Industry and Information Technology,College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;School of Chemical Engineering and Technology,Xi’an Jiaotong University,Xi’an 710049,China)
出处
《航空动力学报》
EI
CAS
CSCD
北大核心
2020年第9期1936-1942,共7页
Journal of Aerospace Power
基金
南京航空航天大学研究生创新基地(实验室)开放基金(kfjj20190110)
江苏高校优势学科建设工程基金。
关键词
阴阳转子型线
双齿气体循环泵
啮合点
工作腔
基元面积
阴转子转角
female-male rotor profile
double-tooth gas circulation pump
meshing point
working chamber
area of element
female rotor angle
