Research of Coil Spring for Refrigeration Linear Compressor

doi:10.3901/JME.2022.03.167

Abstract

Abstract: The spring is the key part to realize the resonance control of the piston of the linear compressor and to affect the compressor's life. In order to solve the problems of small stiffness and large number of plate springs used in compressors, a kind of multi-arm Archimedes spiral coil spring is designed. Finite element method is used to analyze the influence of parameters of Archimedes spiral on the stiffness of the spring arm, such as the base circle radius r, the sweep angle slightly θ and the constant of the pitch b. In view of the influence of multiple factors on the stiffness of the coil spring arm, the finite element response surface optimization method is adopted to optimize the stiffness performance of the cylindrical coil spring arm. The axial stiffness and radial stiffness of the optimized cylindrical coil spring arm are increased by 42.5% and 26.8% respectively. The stiffness test experiment was carried out on the two-arm coil spring and the three-arm coil spring, and their performance was analyzed and compared. It was concluded that the radial stiffness and mass characteristics of the three-arm coil spring were better than that of the two-arm coil spring under the same axial stiffness condition. Finally, the three-arm coil spring is applied to the linear compressor, which can replace 6 plate springs, and the axial stiffness can reach 25.6 N/mm. Moreover, it has good radial support effect, which can meet the axial stiffness and radial stiffness requirements of the linear compressor. The research results have theoretical and practical significance for the design and application of linear compressor spring.

Key words: linear compressor, coil spring, finite element analysis, stiffness, optimization design

CLC Number:

TG156

CHEN Hongyue, ZHANG Zhanli, WANG Xin, ZHOU Liqiu, SHA Yongdong. Research of Coil Spring for Refrigeration Linear Compressor[J]. Journal of Mechanical Engineering, 2022, 58(3): 167-176.

References

[1] 李勇,罗新奎,张安,等. 斯特林型制冷机集成制冷的发展_李勇[J]. 真空与低温,2017,23(4):200-206. LI Yong,LUO Xinkui,ZHANG An,et al. The development of stirling type cryocooler with multiple expanders refrigerating with integrated structure[J]. Vacuum & Cryogenics,2017,23(4):200-206.
[2] 丁国忠. 斯特林制冷机用直线压缩机研究[J]. 低温工程,2007,35(6):458-461. DING Guozhong. Study on linear compressor for stirling refrigerator[J].Cryogenics,2007,35(6):458-461.
[3] RADEBAUGH R. Cryocoolers:the state of the art and recent developments[J]. Journal of Physics Condensed Matter,2009,21(16):1-9.
[4] LIANG K. A review of linear compressors for refrigeration[J]. International Journal of Refrigeration,2017:S0140700717303377.
[5] GLAISTER D S,GULLY W,MARQUARDT E. Ball aerospace long life,low temperature space cryocoolers[C]//Advances in Cryogenic Engineering:Transaction of the Cryogenic Engineering Conference,22-26 September,2003,Anchorage,Alaska,2003,50:1763-1770.
[6] RAWLINGS R M,MISKIMINS S M. Flexure springs applied to low-cost linear drive cryocoolers[C]//Conference on Infra⁃red Technology and Applications XXVI,2002.
[7] 周文杰,王龙一,甘智华. 3种不同形式的柔性弹簧性能分析[J]. 南京航空航天大学学报,2011,43(1):79-85. ZHOU Wenjie,WANG Longyi,GAN Zhihua. Performance analysis of three different types of flexible springs[J]. Journal of Nanjing University of Aeronautics and Astronautics,2011,43(1):79-85.
[8] GAUNEKAR A S,GODDENHENRICH T,HEIDEN C. Finite element analysis and testing of flexure bearing elements[J]. Cryogenics,1996,36,359-364.
[9] WONG T E,PAN R B,JOHNSON A L. Novel linear flexure bearing[C]//Proc. Int. Cryo. Conf. (7th),1992,675-698.
[10] LONGSWORTH R C. Three-stage linear,split-stirling cryocooler for 1 to 2K magnetic cold stage[R]. NASA Contractor Report,4538,1993.
[11] RAJESH V R,KUZHIVELI B T. Modelling and failure analysis of flexure springs for a stirling cryocooler[J]. Journal of Engineering Science and Technology,2017,12(4):888-897.
[12] AMOEDO S,THEBAUD E,GSCHWENDTNER M,et al. Novel parameter-based flexure bearing design method[J]. Cryogenics,2016,76:1-9.
[13] PHAKATKAR H,SAHASRABUDHE A,LELE M. Fatigue life analysis of spiral arm flexure bearing[J]. Journal of Materials Science & Surface Engineering,2015(2),211-214
[14] MALPANI S,YENARKAR Y,DESHMUKH S,et al. Design of flexure bearing for linear compressor by optimization procedure using FEA[J]. International Journal of Engineering Science & Technology,2012,4(5):1991-1999.
[15] 陈楠. 圆渐开线涡旋柔性板弹簧的制造方法:中国,200510029390.6[P]. 2005-10-29. CHEN Nan. Manufacturing method of circular involute vortex flexible plate spring:China,200510029390.6[P]. 2005-10-29.
[16] CHEN N,CHEN X,WU Y N,et al. Spiral profile design and parameter analysis of flexure spring[J]. Cryogenics,2006,46(6):409-419.
[17] 陈曦,刘颖,袁重雨,等. 基于费马曲线的柔性板弹簧的理论与试验研究[J]. 机械工程学报,2011,47(18):130-136. CHEN Xi,LIU Ying,YUAN Chongyu,et al.Theory and experimental study on flexure spring based fermat curve[J]. Journal of Mechanical Engineering,2011,47(18):130-136.
[18] 高威利,颜鹏达,陈国邦. 用于高频脉管制冷机的涡旋板弹簧的优化设计[J]. 低温工程,2009(1):5-8. GAO Weili,YAN Pengda,CHEN Guobang. Optimization design of spiral flexure spring for high-frequency pulse tube cryocooler[J]. Cryogenics,2009(1):5-8.
[19] 陈楠. 大冷量斯特林制冷机用动磁式直线压缩机关键部件及整机性能研究_陈楠[D]. 上海:上海交通大学, 2007. CHEN Nan. Theoretical and experimental study of the moving-magnet linear compressor stirling refrigerator with large cooling capacity[D]. Shanghai:Shanghai Jiao Tong University,2007.
[20] 陈楠,陈曦,吴亦农,等. 涡旋柔性弹簧型线设计及有限元分析[J]. 中国机械工程,2006,17(12):1261-1265. CHEN Nan,CHEN Xi,WU Yinong,et al.Design and finite element analysis of spiral flexure spring[J]. China Mechanical Engineering,2006,17(12):1261-1265.
[21] 缪源,陈曦,任道顺. 基于阿基米德螺线的两臂柔性板弹簧的性能分析及比较[J]. 真空与低温,2017,23(6):60-64. MIAO Yuan,CHEN Xi,REN Daoshun. Performance analysis and comparison of flexible spring based on two-figure archimedes spiral[J]. Vacuum & Cryogenics,2017,23(6):60-64.
[22] 赵千祥,陈曦,缪源. 机械制冷机涡旋柔性弹簧的结构参数研究[J]. 真空与低温,2020,26(4):288-294. ZHAO Qianxiang,CHEN Xi,MIAO Yuan. Research on structure parameters of scroll flexible spring in mechanical refrigerator[J]. Vacuum & Cryogenics,2020,26(4):288-294.
[23] 陈洪月,张站立,林青竹. 制冷线性压缩机弹簧组件的设计与研究[J]. 中国机械工程,2021,32(12):1449-1455. CHEN Hongyue,ZHANG Zhanli,LIN Qingzhu. Design and research of refrigeration linear compressor spring assembly[J]. China Mechanical Engineering. 2021,32(12):1449-1455.
[24] 叶红玲,文聘,张颜明,等.基于多层可行方向法液体静压转台优化设计[J].工程力学,2014,31(2):249-256. YE Hongling,WEN Pin,ZHANG Yanming,et al. Design optimization of hydrostatic worktable based on multi-layer method of feasible direction[J]. Engineering Mechanics,2014,31(2):249-256.
[25] 阳志光,陈敏,隋允康. 响应面法在圆柱壳体结构优化设计中的应用[J]. 弹箭与制导学报,2007,27(3):127-130. YANG Zhiguang,CHEN Min,SUI Yunkang. Application of response surface methodology in optimum design of cylindrical shell structure[J]. Journal of Projectiles,Rockets,Missiles and Guidance,2007,27(3):127-130.