齒輪嚙合剛度預估與系統振動分析

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姓名

林兆偉(Jhao-wei Lin) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

齒輪嚙合剛度預估與系統振動分析
(Analysis of the Mesh Stiffness and Vibration of a Spur Gear Pair)

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摘要(中)

本文主要探討目標為齒輪組之動態響應分析與齒輪故障對系統動態特性的影響。研究方法為使用集中質量法將齒輪系統以質量，嚙合剛度彈簧、阻尼建立齒輪動態分析的模型，並使用有限元素軟體ANSYS建立無缺陷齒輪組與齒根有裂痕齒輪組的模型並分析齒輪接觸時的變形與受力，計算隨不同嚙合位置改變的嚙合剛度，將兩種模型的嚙合剛度代入運動方程式，並以數值方法龍格-庫塔法求解齒輪的動態響應，分析兩種齒輪組在各種不同轉速下的特性，最後以頻譜分析與均方根找出的齒根有裂痕的故障特徵。

摘要(英)

The purpose of this research is to investigate the dynamic characteristics of a spur gear pair and to study the effects of tooth crack on the dynamic response. The gear dynamic model is developed by a lumped parameter method for the vibration response. The mesh stiffness between two gears is calculated by using a finite element software – ANSYS. Then, the equations of motion are solved by using Runge-Kutta method. The features of dynamic signals for the crack in a tooth are found.

關鍵字(中)

★ 傳遞誤差
★ 嚙合剛度
★ 齒輪振動

關鍵字(英)

★ Vibration
★ Mesh Stiffness

論文目次

目錄
目錄 ................................................................................................................I
圖索引............................................................................................................. III
表索引.............................................................................................................VI
符號說明............................................................................................................VII
第一章緒論....................................................................................................... 1
1-1 前言........................................................................................................ 1
1-2 文獻回顧................................................................................................ 2
1-3 內容提要................................................................................................ 3
第二章基本理論............................................................................................... 5
2-1 齒輪振動的原因................................................................................... 4
2-1-1 齒輪嚙合剛度.......................................................................................... 4
2-1-2 傳遞誤差................................................................................................. 5
2-2 有限元素法原理與ANSYS統御方程式............................................ 6
2-2-1 材料力學................................................................................................. 6
2-1-1.1 平衡方程式.................................................................................... 7
2-1-1.2 應變與位移之關係.......................................................................... 8
2-1-1.3 應力與應變之關係.......................................................................... 9
2-2-2 剛性矩陣與形狀函數................................................................................ 9
2-2-3 ANSYS統御方程式................................................................................. 10
2-3 龍格-庫塔法原理................................................................................ 11
2-4 訊號加窗.............................................................................................. 12
II
第三章ANSYS分析與嚙合剛度計算........................................................... 13
3-1 ANSYS的分析流程........................................................................... 13
3-1-1材料性質設定......................................................................................... 14
3-1-2建立齒輪模型......................................................................................... 14
3-1-3齒輪接觸設定......................................................................................... 15
3-1-4網格設定................................................................................................ 16
3-1-5邊界條件設定......................................................................................... 16
3-1-6結果顯示................................................................................................ 17
3-2 齒輪嚙合剛度的計算方式................................................................. 17
3-3 無缺陷與齒根有裂痕齒輪組的嚙合剛度比較................................. 19
第四章齒輪系統振動分析結果與討論......................................................... 21
4-1 齒輪系統的數學模型......................................................................... 22
4-1-1嚙合剛度內插曲線.................................................................................. 22
4-2 振動特性分析...................................................................................... 22
4-2-1無缺陷齒輪振動特性分析........................................................................ 23
4-2-2齒根有裂痕齒輪組振動特性分析.............................................................. 24
4-3 無缺陷與齒根有裂痕的振動特性比較............................................. 25
第五章結論與未來展望................................................................................. 27
5-1 結論整理.............................................................................................. 27
5-2 未來展望.............................................................................................. 28
參考文獻............................................................................................................. 29

參考文獻

李輝煌，2005，ANSYS工程分析基礎與觀念，高立圖書有限公司，台北縣.
Ambarisha, V. K., and Parker, R. G., 2007, Nonlinear dynamics of planetary gears using analytical and finite element models, Journal of Sound and Vibration, Vol.302, 577-595.
Bartelmus, W., 2001, Mathematical modelling and computer simulations as an aid to gearbox diagnostics, Mechanical Systems and Signal Processing, Vol.15, 855-871.
Burden ,R.,and Faires,J.,2006,Numerical Analysis,Thomson, Singapore
Bartelmus, W., Chaari, F., Zimroz, R., and Haddar, M., 2010, Modelling of gearbox dynamics under time-varying nonstationary load for distributed fault detection and diagnosis, European Journal of Mechanics A/Solids, Vol.29, 637-646.
Chaari, F., Baccar, W., and Haddar, M., 2008, Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission, European Journal of Mechanics A/Solids, Vol.27, 691-705.
Chaari, F., Fakhfakh, T. and Haddar M., 2009, Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness, European Journal of Mechanics A/Solids, Vol.28, 461-468.
Cooley, C. G.,Parker, R. G. and Vijayakar, S. M., 2010, An efficient finite element solution for gear dynamics, Materials Science and Engineering, Vol.10, 012150.
Cooley, C. G.,Parker, R. G. and Vijayakar, S. M., 2011,A frequency domain finite element approach for three dimensional gear dynamics, Journal of Vibration and Acoustics, Vol.133.
Howard, I. and Jia, S., 2001, The dynamic modeling of spur gear in mesh including friction and a crack, Mechanical System and Signal Processing, Vol.15, 831-853.
Hu, Y., Shao, Y., Chen, Z., and Zuo, M.,2011, Transient meshing performance of gears with different modification coefficients and helical angles using explicit dynamic FEA, Mechanical Systems and Signal Processing, 2011, 1786-1802.
Huang, K. J.,and Su, H. W., 2010, Approaches to parametric element constructions and dynamic analyses of spur/helical gears including modifications and undercutting, Finite Elementsin Analysis and Design, Vol.46, 1106-1113.
Jia, S., and Howard, I., 2006, Comparison of localised spalling and crack damage from dynamic modelling of spur gear vibrations, Mechanical Systems and Signal Processing, Vol.20, 332-349.
Kahraman, A., and Singh, R., 1990, Non-linear dynamics of a spur gear pair, Journal of Sound and Vibration, Vol. 142, 49-75.
Litak, G. and Friswel, M. I., 2005, Dynamics of a gear system with faults in meshing stiffness, Nonlinear Dynamics, Vol.41, 415-421.
Litvin, F.L., Lian Q. and Kapelevich A.L., 2000, Asymmetric modified spur gear drives: reduction of noise, localization of contact, simulation of meshing and stress analysis, Computer Methods in Applied Mechanics and Engineering, Vol. 188, 363-390.
Ozguven, H. N. and Houser, D. R., 1988, Mathematical models used in gear dynamics - a review, Journal of Sound and Vibration, Vol. 121, 383-411.
Parker, R. G., Vijayakar, S. M., and Imajo, T., 2000, Non-linear dynamic response of a spur gear pair: modeling and experimental comparisons, Journal of Sound and Vibration, Vol.237, 435-455.
Tamminana, V. K., Kahraman, A., and Vijayakar, S., 2005, A study of the relationship between the dynamic factors and the dynamic transmission error of spur gear pairs, Journal of Mechanical Design, Vol.129, 75-84.
Vedmar, L., and Andersson, A., 2003, A method to determine dynamic loads on spur gear teeth and on bearings, Journal of Sound and Vibration, Vol.267, 1065-1084.
Wang, J., and Howard, I., 2004, The torsional stiffness of involute spur gears, Journal of Mechanical, Vol.218, 131-142
Wu, S., Zuo, M., and Parey, A., 2008, Simulation of spur gear dynamics and estimation of fault growth, Journal of Sound and Vibration 2008,Vol.317, 608-624.

指導教授

黃以玫(Yii-Mei Huang)

審核日期

2012-8-9

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