端面型槽广义对数螺旋线的通用模型与应用

中国机械工程

端面型槽广义对数螺旋线的通用模型与应用

江锦波;徐奇超;陈源;赵文静;彭旭东

浙江工业大学过程装备及其再制造教育部工程研究中心，杭州，310014

出版日期:2019-11-25 发布日期:2019-11-26
基金资助:
国家自然科学基金资助项目(51705458，51575490，51605436)；
浙江省自然科学基金资助项目(LQ17E050008)

Universal Model and Applications of Generalized Logarithmic Helix on Surface Grooves

JIANG Jinbo;XU Qichao;CHEN Yuan;ZHAO Wenjing;PENG Xudong

Engineering Research Center of Process Equipment and Its Remanufacturing of Ministry of Education, Zhejiang University of Technology, Hangzhou, 310014

Online:2019-11-25 Published:2019-11-26

摘要/Abstract

摘要： 为解决流体润滑端面型槽设计中经典型线形状优化受限的问题，提出一种广义对数螺旋线模型，获得了斜直线、圆弧线、抛物线和椭圆曲线等经典几何型线的广义螺旋线表达式，掌握了不同参数条件下广义对数螺旋线的几何共性及演变规律。以气体推力轴承为例，对比分析了高速条件下广义螺旋角的分布规律和变化幅值对推力轴承承载性能的影响规律,结果表明:广义对数螺旋线具有很强的几何表征能力,从外径至内径侧流道渐扩的广义对数螺旋槽端面具有最大的气膜承载力。

关键词: 对数螺旋线, 端面型槽, 承载能力, 推力轴承

Abstract: To solve the problems of limitation of classic molded lins shape modification in molded lines design of gas/liquid-lubricated surface grooves, a universal mathematical model of generalized logarithmic helix was derived from equation of typical logarithmic spiral line. The expressions of generalized helix of several typical molded lines such as oblique line, arc line, parabola, and ellipse line were obtained, and evolution rule and geometry commonalities of generalized logarithmic helix at different parameters were studied. Taking gas thrust bearing as an example, the influences of distribution law and variation amplitude of generalized spiral angle on load-carrying capacity of gas thrust bearings at high speed were analyzed. The results show that generalized logarithmic helix has stronger geometrical characterization ability compared to typical molded lines, and the generalized logarithmic helix groove surface has the largest load-carrying capacity.

Key words: logarithmic helix, surface groove, load-carrying capacity, thrust bearing

中图分类号:

TH117.2

江锦波;徐奇超;陈源;赵文静;彭旭东. 端面型槽广义对数螺旋线的通用模型与应用[J]. 中国机械工程.

JIANG Jinbo;XU Qichao;CHEN Yuan;ZHAO Wenjing;PENG Xudong. Universal Model and Applications of Generalized Logarithmic Helix on Surface Grooves[J]. China Mechanical Engineering.

参考文献

[1]GABRIEL R P. Fundamental of Spiral Groove Non-contacting Face Seals[J]. Lubrication Engineering, 1994, 50(3): 215-224.
[2]SALANT R F, HOMILLER S J. The Effects of Shallow Groove Patterns on Mechanical Seal Leakage[J]. Tribology Transactions, 1992, 35(1): 142-148.
[3]LIU X Y, LIU X W. Influence of Groove Molded Lines on the Lubrication Performance of Water-lubricated Spiral Groove Thrust Bearings[J]. Advanced Materials Research, 2013, 694/697: 538-542.
[4]吴宗祥, 郝木明, 顾永泉. 低速干气端面机械密封性能研究[J]. 流体机械, 1994, 22(6): 7-11.
WU Zongxiang, HAO Muming, GU Yongquan. Performance Research of Dry Gas Seal at Low Speed[J]. Fluid Machinery, 1994, 22(6): 7-11.
[5]CHEN Y, JIANG J B, PENG X D. Dynamic Characteristics and Transient Sealing Performance Analysis of Hyperelliptic Curve Groove Dry Gas Seals[J]. Tribology International, 2017, 116: 217-228.
[6]胡丹梅, 吴宗祥. 直线槽端面气体密封分析计算[J]. 流体机械, 1996, 24(9): 16-22.
HU Danmei, WU Zongxiang. Performance Analysis of Oblique Groove Gas Face Seal[J]. Fluid Machinery, 1996, 24(9): 16-22.
[7]HASHIMOTO H. Optimization of Groove Geometry for a Thrust Air Bearing According to Various Objective Functions[J]. ASME Journal of Tribology, 2008, 131(4): 327-329.
[8]SHEN C, KHONSARI M M. Numerical Optimization of Texture Shape for Parallel Surfaces under Unidirectional and Bidirectional Sliding[J]. Tribology International, 2015, 82: 1-11.
[9]魏超, 陈国明, 栾智存, 等. 车用旋转密封件动压槽型线优化研究[J]. 北京理工大学学报, 2016, 36(1): 25-30.
WEI Chao, CHEN Guoming, LUAN Zhicun, et al. Optimization on the Hydrodynamic Groove Geometry of Rotary Seals for Automotive Transmissions[J]. Transactions of Beijing Institute of Technology, 2016, 36(1): 25-30.
[10]许鹏先, 潘琦, 申改章, 等. 一种干气密封槽型的设计方法[J]. 润滑与密封, 2006(12): 177-179.
XU Pengxian, PAN Qi, SHEN Gaizhang, et al. A Design Method of Dry Gas Seal Groove[J]. Lubrication Engineering, 2006(12): 177-179.
[11]丁雪兴, 赵芳, 黄义仿, 等. 拟合曲线槽干气密封流场的数值模拟及分析[J]. 润滑与密封, 2013, 38(2): 35-38.
DING Xuexing, ZHAO Fang, HUANG Yifang, et al. Numerical Simulation and Analysis of Flow Field for Dry Gas Seal with Fitted Curved Groove Based on Tracing Line [J]. Lubrication Engineering, 2013, 38(2): 35-38.