B样条在螺杆转子型线反向设计方法中的应用

何雪明; 施国江; 武美萍; 张荣; 纪小刚

doi:10.13433/j.cnki.1003-8728.2018.0108

B样条在螺杆转子型线反向设计方法中的应用

doi: 10.13433/j.cnki.1003-8728.2018.0108

何雪明^1,2,
施国江^1,2,
武美萍^1,2,
张荣³,
纪小刚^1,2

1.
江苏省食品先进制造装备技术重点实验室, 江苏无锡 214122;
2.
江南大学机械工程学院, 江苏无锡 214122;
3.
江南大学理学院, 江苏无锡 214122

基金项目:

国家自然科学基金项目（51275210

51105175）与六大人才高峰项目（2013-ZBZZ-016）资助

详细信息

作者简介:
何雪明(1966-),教授,博士,研究方向为自由曲线曲面CAD/CAE/CAM和逆向工程,hxuem2003@163.com

计量
- 文章访问数: 233
- HTML全文浏览量: 48
- PDF下载量: 7
- 被引次数: 0
出版历程
- 收稿日期: 2016-09-10
- 刊出日期: 2018-01-15

Application of B-spline in Reverse Design Method of Screw Rotor Profiles

1.
Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology, Jiangsu Wuxi 214122, China;
2.
School of Mechanical Engineering, Jiangnan University, Jiangsu Wuxi 214122, China;
3.
School of Science, Jiangnan University, Jiangsu Wuxi 214122, China

摘要

摘要: 鉴于啮合线与转子型线的一一对应关系，且其能够反映出转子型线的某些重要性能参数，针对传统的"转子法"和"齿条法"设计方法的不足，采用从啮合线推导双螺杆压缩机阴、阳转子型线的啮合线法，并将B样条曲线作为啮合线的组成曲线，实现对转子齿形的局部快捷调整，更加方便控制啮合线的形状。在现有转子型线的基础上，基于B样条曲线设计了一条啮合线，反推出阴阳转子型线，对最终得到的转子型线在不同工况下进行CFD模拟计算，分析其内部流场特性，与传统设计结果进行对比研究，最后通过实验有效验证了模拟结果的可靠性，进一步为双螺杆压缩机的可靠性设计提供了一种新的设计手段。
- 啮合线 /
- B样条 /
- 反向设计 /
- CFD /
- 实验验证
Abstract: In view of the one-to-one correspondence between the meshing line and the rotor profile,which can reflect some important performance parameters of the rotor profile, and considering that the disadvantage of "rotor method" and "rack method", a new method of profile design are derived based on meshing line for the twin screw compressor, in which B-spline curve is used as part of meshing line in order to modify the rotor profiles and control the shape of the meshing line more conveniently. On the basis of the existing rotor profile, a meshing line is designed based on the B-spline, and the reverse design method is applied to design a pair of male and female rotor profiles. The CFD simulation of the final rotor profile is carried out under different working conditions and compared with the traditional design results, and then the characteristics of its internal flow field are analyzed. Finally, the reliability of the simulation results is verified by experiment, and the results show that the new design method is feasible and reliable for the twin screw compressor.
- meshing line /
- B-spline /
- reverse design /
- CFD /
- experimental verification

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参考文献(25)

[1]	邢子文,吴华根,束鹏程.螺杆压缩机设计理论与关键技术的研究和开发[J].西安交通大学学报,2007,41(7):755-763,810 Xing Z W, Wu H G, Shu P C. Research and development on design theory and key technology of screw compressors[J]. Journal of Xi'an Jiaotong University, 2007,41(7):755-763,810(in Chinese)
[2]	邢子文.螺杆压缩机-理论、设计及应用[M].北京:机械工业出版社,2000 Xing Z W. Screw compresso-theory、design and applications[M]. Beijing:Machinery Industry Press, 2000(in Chinese)
[3]	马一太,曾宪阳,常国阳.螺杆压缩机转子型线的优化设计[J].压缩机技术,2004,(5):15-17 Ma Y T, Zeng X Y, Chang G Y. Optimized design for rotor profile of screw compressor[J]. Compressor Technology, 2004,(5):15-17(in Chinese)
[4]	Zaytsev D, Ferreira C A I. Screw compressor rotors profile generation method based on pre-defined meshing line[C]//Proceedings of the 3rd International Compressor Technique Conference. Wuxi, China:ICTC, 2001:117-127
[5]	Selvaraji M, Joseph S P, Nirmal N. Optimization of labyrinth seal for screw compressor[C]//ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. Vancouver, British Columbia, Canada:ASME, 2007:63-68
[6]	周瑞秋,林焕.螺杆压缩机转子型线普遍方程组与计算机辅助设计[J].流体机械,1994,22(12):15-21 Zhou R Q, Lin H. CAD and universal equations for rotor profile of screw compressor[J]. Fluid Machinery, 1994,22(12):15-21(in Chinese)
[7]	He X M, Liu H Y, Lu Y, et al. Positive and reverse design of screw rotor profiles with freeform curve[J]. Applied Mechanics and Materials, 2012,184-185:372-375
[8]	何雪明,戴进,刘洪园.基于自由曲线的螺杆转子型线的正反向设计[J].中国机械工程,2012,23(22):2752-2757 He X M, Dai J, Liu H Y. Positive and reverse design of screw rotor profiles based on freeform curve[J]. China Mechanical Engineering, 2012,23(22):2752-2757(in Chinese)
[9]	Zaytsev D, Ferreira C A I. Profile generation method for twin screw compressor rotors based on the meshing line[J]. International Journal of Refrigeration, 2005,28(5):744-755
[10]	Zaytsev D, Ferreira C A I. Screw compressor rotors profile generation method based on pre-defined meshing line[C]//Proceedings of the 3rd International Compressor Technique Conference. Wuxi, China:ICTC, 2001:117-127
[11]	徐健,周恩民,许岭松,等.基于啮合线法的螺杆转子型线设计方法[J].压缩机技术,2013,(1):1-7 Xu J, Zhou E M, Xu L S. Study on rotor profile design of screw compressors based upon meshing line method[J]. Compressor Technology, 2013,(1):1-7(in Chinese)
[12]	徐健,许岭松,余小玲,等.一种基于齿条法的螺杆转子型线设计方法[J].压缩机技术,2012,(4):1-6 Xu J, Xu L S, Yu X L, et al. Study on rotor profile design of screw compressors based upon rack generation method[J]. Compressor Technology, 2012,(4):1-6(in Chinese)
[13]	李汗强.圆弧包络线的传动性能分析及螺杆压缩机转子型线的优化设计[J].通用机械,2006,(1):82-83,89 Li H Q. Analysis of transmission performance of circular arc envelope and optimum design of rotor profile of screw compressor[J]. General Machinery, 2006,(1):82-83,89(in Chinese)
[14]	丁国忠,冯业,舒水明,等.基于Matlab的螺杆压缩机转子接触线的求解[J].压缩机技术,2013,(1):12-13,33 Ding G Z, Feng Y, Shu S M, et al. Contact line calculation method for screw compressor rotors based on matlab[J]. Compressor Technology, 2013,(1):12-13,33(in Chinese)
[15]	姜建强.螺杆式压缩机漏泄三角形面积的通用算法[J].机械设计与制造,2009,(11):49-50 Jiang J Q. The general algorithm for leakage triangle area of screw compressor[J]. Machinery Design & Manufacture, 2009,(11):49-50(in Chinese)
[16]	Seshaiah N, Ghosh S K, Sahoo R K, et al. Mathematical modeling of the working cycle of oil injected rotary twin screw compressor[J]. Applied Thermal Engineering, 2007,27(1):145-155
[17]	Rane S, Kovacevic A, Stosic N, et al. Deforming grid generation and CFD analysis of variable geometry screw compressors[J]. Computers & Fluids, 2014,99(22):124-141
[18]	Pascu M, Buckney D, Heiyanthuduwage M, et al. Numerical investigation of the leakage flows in twin screw compressor rotors[C]//Proceedings of 22nd International Compressor Engineering Conference at Purdue. Glasgow, UK:Howden Compressors Ltd, 2014
[19]	施法中.计算机辅助几何设计与非均匀有理B样条[M].北京:高等教育出版社,2001 Shi F Z. Computer aided geometric design and non-uniform rational B-spline[M]. Beijing:Higher Education Press, 2001(in Chinese)
[20]	熊伟,冯全科.基于三维的双螺杆压缩机转子干涉研究[J].机械工程学报,2005,41(6):55-59 Xiong W, Feng Q K. Study of rotor interference in screw compressors based on three dimensions[J]. Chinese Journal of Mechanical Engineering, 2005,41(6):55-59(in Chinese)
[21]	吴序堂.齿轮啮合原理[M].2版.西安:西安交通大学出版社,2009 Wu X T. Theory of gearing[M]. 2nd ed. Xi'an:Xi'an Jiaotong University Press, 2009(in Chinese)
[22]	邢诚,王建强,贾志强.多种数值积分方法比较分析[J].城市勘测,2010,(1):104-106 Xing C, Wang J Q, Jia Z Q. Comparison and analysis of some numerical integration methods[J]. Urban Geotechnical Investigation & Surveying, 2010,(1):104-106(in Chinese)
[23]	刘玉娟,陈应祖,卢克功.龙贝格积分法及其应用编程[J].重庆科技学院学报(自然科学版),2007,9(1):97-99 Liu Y J, Chen Y Z, Lu K G. On romberg integral method and its application[J]. Journal of Chongqing University of Science and Technology (Natural Science Edition), 2007,9(1):97-99(in Chinese)
[24]	马仙龙.基于NURBS的双螺杆压缩机转子型线研究[D].无锡:江南大学,2008 Ma X L. Study on the twin-screw compressor rotor profile based on NURBS[D]. Wuxi:Jiangnan University, 2008(in Chinese)
[25]	Kovacevic A, Stosic N, Smith I. Screw compressors:three dimensional computational fluid dynamics and solid fluid interaction[M]. Berlin Heidelberg:Springer-Verlag, 2007