用户名: 密码: 验证码:
基于接触动力学的螺旋锥齿轮动态啮合性能有限元分析研究
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
螺旋锥齿轮作为机械装备中的动力与运动传递装置的关键零部件,广泛应用于汽车、航空、船舶等行业中,并朝着高速、重载的方向发展。螺旋锥齿轮的啮合接触冲击特性和动态接触性能的好坏严重影响其整机的工作性能。本文从螺旋锥齿轮的啮合原理、动力学基本理论以及实际工况等几个方面对螺旋锥齿轮动态啮合性能分析研究的必要性进行了讨论。
     螺旋锥齿轮动态啮合问题是一个边界条件高度非线性的接触动力学问题。本文根据接触动力学、显式非线性有限元的基本理论和方法,提出了考虑惯性载荷的螺旋锥齿轮动态啮合分析有限元模型,并对有限元网格模型进行了优化,为客观、准确地分析螺旋锥齿轮的动态啮合性能提供了必要的准备。研究表明,惯性载荷对螺旋锥齿轮动态啮合性能有显著影响。
     基于合理的有限元模型,对螺旋锥齿轮的啮合接触冲击特性和动态接触性能进行了深入研究。得到了螺旋锥齿轮动态啮合过程的啮合接触冲击曲线,以及齿面接触力、齿面接触应力、齿根弯曲应力和轮齿接触区等动态接触特性的变化规律。以转速和负载两个典型的工作条件因素为例,建立对比分析模型,研究转速和负载对螺旋锥齿轮动态啮合性能的影响。转速对螺旋锥齿轮动态啮合性能影响显著,而负载对螺旋锥齿轮的动态啮合性能影响则跟转速有关。
     研究文献表明,轴的变形对于螺旋锥齿轮强度有着明显的影响。意外的轴变形将造成严重的边缘载荷,将减少齿轮寿命,并产生噪音。因此,本文还研究了动态啮合过程中轴变形的变化规律,及其对螺旋锥齿轮动态啮合性能的影响。
Spiral bevel gears have application in lots of types of equipment as one of the most important mechanical transmission elements in many industrial fields such as motor-vehicle, aviation and ship craft. The current trend is towards high-speed and heavy-load. The meshing contact-impact and contact performance of spiral bevel gears has a strong impact on the whole machine performance. The necessity of studying the dynamic property of spiral bevel gears was discussed via analyzing the mesh theory, the basic contact dynamics and the actual work condition.
     The process of spiral bevel gears'dynamic meshing is some problem with respect to contact dynamics of highly nonlinear boundary. Based on the theory of contact dynamics and finite element method, a finite element model, in which the influence of inertial load was concerned and the meshes was optimized, was introduced for the objective and accurate dynamic meshing analysis of spiral bevel gears. The result shows that the inertial load affects the dynamic meshing characteristics a lot.
     Based on the reasonable model, the characteristics of the spiral bevel gears in dynamic meshing were studied. Obtained the laws of meshing contact-impact, the contact force, the contact stress, the tooth root bending stress and the contact area in the dynamic meshing of spiral bevel gears. The contrast research shows that the rotate speed has an obvious influence up on the characteristics of the spiral bevel gear in dynamic meshing, and that the load affects it little. Take the example of the two typical work factors like speed and load. The influences of speed and load on the dynamic meshing characteristics were discussed. The contrast research shows that the rotational speed has an obvious influence up on the characteristics of the spiral bevel gear in dynamic meshing, and that the influence of load is related to the rotational speed.
     The marketing literature address that axle deflections have a significant impact on gear tooth strength. Unexpected deflections can cause severe edge loading that is detrimental to gear surface life as well as noise performance. Therefore, the variability of axle deflections and their effects on the dynamic performance in the dynamic meshing of spiral bevel gears was studied.
引文
[1]Rand R V and Peterson Engineering,1929RE, Load and stress cycle in gear teeth. Mechanical engineering,1929,653-662.
    [2]Walker H. Gear tooth deflection and profile modification (Part 1).The engineer, 1938,166(4319):409-412.
    [3]Walker H. Gear tooth deflection and profile modification (Part 1).The engineer, 1938,166:434-436.
    [4]Walker H. Gear tooth deflection and profile modification (Part 1).The engineer, 1938,166:102-104.
    [5]Weber C. The deformation of loaded gears capacity. Sponsored Research (German5).And the effect on their load-carrying British Scientific and Industrial Research. London,1949, Report No.3.
    [6]Merritt H E. Gear tooth stresses and rating formula. Proceedings of the Institution of Mechanical Engineers,1952.
    [7]Niemann. Maschinen elemente Bd Ⅱ.Springer. Berlin,1960.
    [8]Wellauer EJ and Seireg A. Bending strength of gear teeth by cantilever plate theory. ASME Journal of Engineering for Industry,1960.
    [9]Dolan T J and Broghammer El. A photo elastic study of the stresses in gear tooth fillets. University Of Illinois Bulletin,1942.
    [10]Cornell R W. Compliance and stress sensitivity of spur gear teeth. ASME Journal of Mechanical Design,1981,103(4):447-459.
    [11]程乃士,孙大乐.齿轮应力和位移分析的保角映射法.[J].机械传动,1992,16(1):40-46.
    [12]Aida T and Terauchi Y. On the bending stress of a spur gear. Bulletin of JSME, 1962,5(7):161-170.
    [13]Terauchi Y and Nagamura K. Study On deflection spur gear teeth. Bulletin of JSME,1980,23(184):1682-1688.
    [14]Terauchi Y and Nagamura K. Study On deflection spur gear teeth. Bulletin of JSME,1980,24(188):447-452.
    [15]Timoshenko S P and Baud R V. Strength of gear teeth. Mechanical Engineering, 1926,48(11):1108.
    [16]Hey wood R B and Sop with D C. Loads and stresses in screw threads and projections. Mechanics Division of the Institution of Mechanical Engineers, London, England,1948, Vol159.
    [17]Baxter M L, King C B and Coleman W. Three dimensional photo-elastic analyses in the hypoid gear pair. JSME Semi-international Symposium, Tokyo, Japan, Sept,1967.
    [18]方宗德,蒋孝煌.齿轮轮齿受载变形的激光散斑测量及计算.齿轮,1984,8(5):19-25.
    [19]干歇成,邵敏.有限单元法基本原理和数值方法(第二版).北京:清华大学出版社.
    [20]李润方,陈大良.斜齿轮三维有摩擦接触应力分析及前后处理方法.齿轮,1990,14(1):29-34.
    [21]杜平安,梁锡昌.齿轮传动的现代设计方法.机械,1994,21(1):4335.
    [22]李润方,龚剑霞.接触问题数值方法及其在机械设计中的应用.重庆:重庆大学出版社,1991.
    [23]何乃翔.在载荷作用下螺旋锥齿轮及螺旋锥齿轮轮齿接触分析.齿轮,1986,10(5):21-25.
    [24]郑昌启,黄昌华,吕传贵.螺旋锥齿轮加载接触分析计算原理.机械工程学报,1993,29(4):50-54.
    [25]陈良玉,王延忠,郑夕健,鄂中凯,蔡春源.弧齿锥齿轮的齿根应力精确计算方法研究.机械工程学报(英文版),1994,第4期.
    [26]李润方,黄昌华,郑昌启,郭晓东.弧齿锥齿轮和螺旋锥齿轮轮齿接触有限元分析.[J].机械工程学报(英文版),1995,第1期.
    [27]黄昌华,李润方,郑昌启.螺旋锥齿轮啮合轮齿应力场分析.机械传动,1992,16(2):9-13.
    [28]F. L. Litvin, J. S. Chen, J. Lu and R. F. Handschuh. Application of Finite Element Analysis for Determination of Load Share Real Contact Ratio, Precision of Motion and Stress Analysis. ASME Journal of Mechanical Design, 1996,118(4):561-567.
    [29]C. Gosselin, L. Cloutier and Q. D. Nguyen. A General Formulation for the Calculation of the Load Sharing and Transmission Error under Load of Spiral Bevel and Hypoid Gears. Mechanism and Machine Theory,1995, 30(3):433-450.
    [30]G. D. Bibel, A. Kumar, S. Reddy and R. Handschuh. Contact Stress Analysis of Spiral Bevel Gears Using Finite Element Analysis. ASME Journal of Mechanical Design.1995,117(2A):235-240.
    [31]B. Falah, C. Gosselin and L. Cloutier. Experimental and Numerical Investigation of the Meshing Cycle and Contact Ratio in Spiral Bevel Gears. Mechanism and Machine Theory,1998,33(1/2):21-37.
    [32]P. Gagnon and C. Gosselin. Analysis of Spur and Straight Bevel Gear Teeth Deflection by the Finite Strip Method. ASME Journal of Mechanical Design. 1997,119(4):421-426.
    [33]T. F. Conry and A. Seireg. A Mathematical Programming Technique for the Evaluation of Load Distribution Optimal Modification Gear Systems. ASME Journal of Engineering for Industry.1973,95B (4):1115-1122.
    [34]T. F. Conry and A. Seireg. A Mathematical Programming Method for Design of Elastic Bodies in Contact. ASME Journal of Engineering for Industry.1971, 95B (4):387-392.
    [35]Y. Zhang and Z. Zhang. Analysis of Tooth Contact and Load Distribution of Helical Gears with Crossed Axes. Mechanism and Machine Theory,1999, 34(1):41-57.
    [36]陈良玉,鄂中凯,郭星辉,王延忠.弧齿锥齿轮的离心和变.东北工业大学学报(英文版),1993,14(6):543-545.
    [37]晏砺堂,朱梓根,李其汉.高速旋转机械振动.北京:国防工业出版社,1994.
    [38]任光明,晏砺堂.旋转盘形齿轮的横向振动分析.机械科学与技术,2000,19(4):584-586.
    [39]王立华,李润方,林蛟腾.螺旋锥齿轮传动系统动态特性实验研究.机械传动,2006,30(3):1-8.
    [40]Krezer T J. Tooth Contact Analysis of Spiral Bevel and Hypoid Gears under Load. New York:Gleason Works Publication,1981.
    [41]Simon V. Optimal Machine Tool Set ting for Hypoid Gears Improving Load Distribution. Trans. ASME Journal of Mechanical Design,2001,123(12): 577-582.
    [42]Zhang Y, Litvin F. L., Maruyama N, et al. Computerized Analysis of Meshing and Contact of Real Tooth Surfaces. Trans. ASME Journal of Mechanical Design,1994,116 (9):677-682.
    [43]Gosselin C, Guertin T, Remond D, et al. Simulation and Experimental Measurement of the Transmission Error of Real Hypoid Gears under Load. Trans. ASME Journal of Mechanical Design,2000,122 (3):109-122.
    [44]Kubo A, Tarutani I, Gosselin C, et al. On Simulation Methods of Performance of Hypoid and Spiral Bevel Gears (1st Report, Definition of Reference for Tooth Form Accuracy and Method of Simulation). Trans. J SME (Series C),1996,62 (599):2833-2841.
    [45]Kubo A, Tarutani I, Gosselin C, et al. A Computer Based Approach for Evaluation of Operating Performances of Bevel and Hypoid Gears. JSME International Journal (Series C),1997,40 (4):749-758.
    [46]Wang Z H,Kubo A, Nonaka T. Prediction of Performance of Hypoid Gears by Observation of Tooth Contact Pat tern (1st Report, Algorithm for Predicting Composite Error Surface). Trans. J SME (Series C),1998,64 (624):3103-3111.
    [47]王延忠,周云飞,周济等.考虑轮齿制造误差的螺旋锥齿轮加载接触分析.机械科学与技术,2002,21(2):224-227.
    [48]郑昌启,黄昌华,吕传贵.螺旋锥齿轮加载接触分析计算原理.机械工程学报,1993,29(4):50-54.
    [49]方宗德.齿轮轮齿承载接触分析(LTCA)的模型和方法.机械传动,1998,22(2):1-3.
    [50]Kahraman A, Singh R. Interactions between Time Varying Mesh Stiffness and Clearance Non-Linearity in a Geared System. Journal of Sound and Vibration, 1991,146 (1):135-156.
    [51]Robert F. Handschuh, George D. Bibel. Comparison of Experimental and Analytical Tooth Bending Stress of Aerospace Spiral Bevel Gears. NASA/TM 208903,1999.
    [52]郭辉.双圆弧齿轮的接触分析研究及应用:[硕士学位论文].西安:西北工业大学,2005.
    [53]李源,袁杰红.航空减速器螺旋锥齿轮动态啮合仿真分析.机械传动,2007,31(5):43-44.
    [54]胡磊.汽车主减速器螺旋锥齿轮参数化建模与有限元分析:[硕士学位论文].武汉:武汉理工大学,2008.
    [55]郭乙木,陶伟明,庄茁.线性与非线性有限元及其应用.北京:机械工业出版社,2003.10.
    [56]博嘉科技.有限元分析软件——ANSYS融会与贯通.北京:中国水利水电出版社,2002.
    [57]时党勇,李裕春,张胜民.基于ANSYS/LS DYNA8.1进行显示动力分析.北京:清华大学出版社,2005.1.
    [58]北京理工大学ANSYS/LS_DYNA中国技术支持中心.ANSYS/LS_DYNA算法基础与使用方法.北京理工大学,1999.
    [59]李裕春,时党勇,赵远.ANSYS10.0/LS_DYNA基础理论与工程实践.北京:中国水利水电出版社,2006.
    [60]杜庆永,胡长华,张继玲.FCX-1型斜井跑车防护装置.煤矿机械.2006年27卷9期:152-153.
    [61]王米林.斜井跑车防护装置实验及看法.煤矿开采.2001年12月增刊总第47期:73-75.
    [62]7-5020-2602-0-2004煤矿安全规程.煤炭工业出版社.
    [63]GIBSON L J, ASHBY Michael F. Cellular solids:structure and properties. Cambridge:The Press Syndicate of the University of Cambridge,1997.
    [64]MILLER R E. A continuum plasticity model for the constitutive and indentation behavior of foamed metals. International Journal of Mechanical Sciences,2000, 42:729-754.
    [65]谌河水,赵恒义,张明华.泡沫铝芯体夹层板的冲击力学性能研究.宁波大学学报(理工版),2007,20(1):118-121.
    [66]曾斐,潘艺,胡时胜.泡沫铝缓冲吸能评估及其特性.爆炸与冲击,2002,22(4):358-362.
    [67]凤仪,朱震刚,潘艺,等.泡沫铝的动态力学性能研究.稀有金属材料与工程,2005,34(4):544-548.
    [68]PAUL A, RAMAMURTY U. Strain rate sensitivity of a closed-cell aluminum foam. Material Science and Engineering A,2000,281:1-7.
    [69]程和法,黄笑梅,许玲.泡沫铝镁合金的压缩与吸能性的研究.兵器材料科学与工程,2002,25(6):12-14.
    [70]王曦,虞吉林.泡沫铝的单向力学行为.实验力学,2001,16(4):438-443.
    [71]John Argyris, Alfonso Fuentes, F. L. Litvin. Computerized integrated approach for design and stress analysis of spiral bevel gears. Computer methods applied in mechanics and engineering,2002,191:1057-1095.
    [72]F. L. Litvin, Danniele Vecchiato. Computerized Developments in Design, Generation, Simulation of Meshing, and Stress Analysis of Gear Drives. Meccanica,2005,40:291-324.
    [73]唐进元,曹康.含过渡曲面的弧齿锥齿轮齿面精确建模.机械科学与技术,2009,28(3):317-321.
    [74]Zienkiewicz O. C., Taylor K. L. The Finite Element Method, Fifth Edition. Butterworth Heinemann,2000.
    [75]黄霞.高速重载齿轮传动动载系数分析.[硕士学位论文].重庆:重庆大学,2005.
    [76]钟小强,蒋维等.变速传动下的齿轮啮合力计算仿真研究.机械设计,2008,25(1):42-44.
    [77]唐进元,彭方进.惯性载荷对螺旋锥齿轮动态啮合特性的影响研究.振动与冲击,已录用.
    [78]Coleman, W. Analysis of Mounting Deflections on Bevel and Hypoid Gears, 1975 SAE Paper 750152.
    [79]Shuting Li. Centrifugal load and its effects on bending strength and contact strength of a high speed thin-walled spur gear with offset web. Mechanism and Machine Theory,2008,43:217-239.
    [80]北京齿轮厂编.螺旋锥齿轮.北京:科学出版社,1974.
    [81]彭文生.螺旋锥齿轮动态特性的实验研究.第一届全国齿轮动力学会议论文集,华中理工大学,1987.
    [82]陈良玉,蔡春源,鄂中凯.弧齿锥齿轮的动态特性分析.东北大学学报,1993,14(5):460-463.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700