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Abstract

A design method of roots pump rotor profile based on NURBS curve was proposed. Combining the design process from peak curve to valley curve, the reasonable design area of peak curve was designed, and the envelope condition of NURBS curve was solved. The method of determining the rotor profile of roots pump with NURBS curve by control point and weight factor was designed. The method redesigned the involute rotor profile and the average error was in 0.1 μm which was in a reasonable error range. The feasibility of designing Roots pump rotor profile with NURBS curve was verified. Finally, the involute rotor profile was improved and optimized by using the local adjustable characteristic of NURBS curve. The area utilization factor of the rotor profile was increased by 1%. This provides a theory and method for the design of the rotor profile of Roots pump.

Publication Date

7-28-2019

First Page

110

Last Page

116

DOI

10.13652/j.issn.1003-5788.2019.07.020

References

[1] 刘新. 罗茨泵在化工生产中的应用[J]. 化学工程与装备, 2009(4): 78-87.
[2] TSAY C B. Solving the conjugated curves of roots blower lobe profile by analytic method[J]. Jorunal of Machine, 1987(13): 129-133.
[3] HSIEH G E, MENG J L. Computer aided design of roots blower profile[C]//Proceedings of the 1989 Technology and Occupation Education Conference at the National Taipei University of Technology, 1989: 69-75.
[4] TONG Shin-hsi, YANG D C H. Rotor profiles synthesis for lobe pumps with given flow rate functions[J]. Journal of Mechanical Design, 2005, 127(2): 287-294.
[5] HSIEH C F, HWANG Y W. Tooth profile of a roots rotor with a variable trochoid ratio[J]. Mathematical and Computer Modelling, 2008, 48 (1/2): 19-33.
[6] CAI Ying-jie, YAO Li-gang. Comparison analysis and verification on spur and helical three-lobe rotors with novel tooth profile in roots blower[C]//2th International Conference on Mechanical, Electronic and Information Technology Engineering, 2016: 418-423.
[7] 吴序堂. 齿轮啮合原理[M]. 2版. 西安: 西安交通大学出版社, 2009: 245-255.
[8] LES P, TILLER W. 非均匀有理B样条[M]. 2版. 赵罡, 穆国旺, 译. 北京: 清华大学出版社, 2010: 34-59, 86-93, 209-210.
[9] 刘军强, 高佳宏, 李言. 规则曲线和曲面的NURBS表示[J]. 西安工业学院学报, 2004, 24(4): 311-315.

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