A Calculation Method of Mesh Stiffness for Face Gear Transmission System

Abstract

Abstract:

A new method for calculating the mesh stiffness of gear transmission system which was the foundation of gear dynamics analysis was proposed based on finite element method. To validate the calculation method, a spur gear pair was adopted to calculate the mesh stiffness. The results show that the mesh stiffness is identical with that from ISO 6336 method. Subsequently, the proposed method was used to calculate the mesh stiffness of face gear transmission system, and the change law of the meshing stiffness for the face gear transmission system was researched. The research results provide the basic condition for dynamics analysis and design of face gear transmission.

Key words: mesh stiffness, finite element, face gear, transmission error

摘要：

准确计算时变啮合刚度是齿轮动力学研究的基础。提出了一种面齿轮传动时变啮合刚度数值计算新方法。以直齿圆柱齿轮为例，建立合理的有限元模型，得到直齿圆柱齿轮的时变啮合刚度曲线，并将其与ISO6336方法计算结果进行对比，验证了该啮合刚度计算方法的正确性及有限元模型的精确性。应用该数值计算方法，研究面齿轮传动时变啮合刚度变化规律，得到了精确的面齿轮传动时变啮合刚度曲线。研究结果为面齿轮传动的动力学分析及设计提供参考。

关键词: 啮合刚度, 有限元, 面齿轮, 传动误差

CLC Number:

TH132.4

Lei Duncai, Tang Jinyuan. A Calculation Method of Mesh Stiffness for Face Gear Transmission System[J]. China Mechanical Engineering, 2014, 25(17): 2300-2304.

雷敦财, 唐进元. 一种面齿轮传动时变啮合刚度数值计算方法[J]. 中国机械工程, 2014, 25(17): 2300-2304.

References

[1]Fernandez R A, Viadero F, Iglesias M, et al. A Model for the Study of Meshing Stiffness in Spur Gear Transmissions[J]. Mechanism and Machine Theory, 2013, 61:30-58.
[2]Chen Siyu, Tang Jiuyuan, Luo Caiwang. Effects of the Gear Tooth Modification on the Nonlinear Dynamics of Gear Transmission System[J]. Advanced Materials Research, 2010, 97:2764-2769.
[3]Chen Siyu,Tang Jiuyuan,Luo Caiwang,et al.Nonlinear Dynamic Characteristics of Geared Rotor Bearing Systems with Dynamic Backlash and Friction[J].Mechanism and Machine Theory,2011,46(4):466-478.
[4]Zhang J, Esat I, Shi Y. Load Analysis with Varying Mesh Stiffness[J]. Computers & Structures, 1999, 70(3): 273-80.
[5]Pimsarn M, Kazerounian K. Efficient Evaluation of Spur Gear Tooth Mesh Load Using Pseudo-interference Stiffness Estimation Method[J]. Mechanism and Machine Theory, 2002, 37(8): 769-786.
[6]Gosselin C, Gagnon P, Cloutier L. Accurate Tooth Stiffness of Spiral Bevel Gear Teeth by the Finite Strip Method[J]. Journal of Mechanical Design, 1998, 120(4): 599-605.
[7]Mennem R C. Parametrically Excited Vibrations in Spiral Bevel Geared Systems[D]. Purdue:Purdue University, 2005.
[8]Litvin F, Argentieri G, de Donno M, et al. Computerized Design, Generation and Simulation of Meshing and Contact of Face Worm-gear Drives [J]. Computer Methods in Applied Mechanics and Engineering, 2000, 189(3): 785-801.
[9]Litvin F L, Lian Q, Kapelevich A L. Asymmetric Modified Spur Gear Drives: Reduction of Noise, Localization of Contact, Simulation of Meshing and Stress Analysis[J]. Computer Methods in Applied Mechanics and Engineering, 2000, 188(1): 363-90.
[10]Litvin F L, Fuentes A, Gonzalez-Perez I, et al. New Version of Novikov-Wildhaber Helical Gears: Computerized Design, Simulation of Meshing and Stress Analysis[J]. Computer Methods in Applied Mechanics and Engineering, 2002, 191(49): 5707-40.
[11]Litvin F L, Fuentes A, Zanzi C, et al. Design, Generation, and Stress Analysis of Two Versions of Geometry of Face-gear Drives[J]. Mechanism and Machine Theory, 2002, 37(10): 1179-211.
[12]Litvin F L, Fuentes A, Zanzi C, et al. Face-gear Drive with Spur Involute Pinion: Geometry, Generation by a Worm, Stress Analysis[J]. Computer Methods in Applied Mechanics and Engineering, 2002, 191(25): 2785-813.
[13]ISO6336-1:2006, Calculation of Load Capacity of Spur and Helical Gears Part 1: Basic Principles, Introduction and General Influence Factors[S]. Geneva:ISO,2006.
[14]Smith J D. Gears and Their Vibration: a Basic Approach to Understanding Gear Noise[M]. New York:M. Dekker, 1983.
[15]蒲太平，唐进元. 基于CATIAV5的圆柱齿轮虚拟加工研究[J].系统仿真学报，2008, 16(20): 4339-4343.
Pu Taiping, Tang Jinyuan. Virtual Machining Process Research of Spur-gear Based on CATIA V5[J]. Journal of System Simulation, 2008, 16(20): 4339-4343.