具裂紋齒輪系統嚙合分析與動態模擬

以作者查詢圖書館館藏

、以作者查詢臺灣博碩士

、以作者查詢全國書目

、勘誤回報

、線上人數：103

、訪客IP：18.119.132.24

姓名

廖宜駿(I-chun Liao) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

具裂紋齒輪系統嚙合分析與動態模擬
(Meshing Analysis and Dynamic Simulation of a Cracked Spur Gear Pair)

相關論文

★ 四弦型非對稱光學讀取頭致動器模態共振分析與抑制	★ 網路連接儲存裝置熱分析與設計
★ 小型垂直軸風力發電機之有限元素分析	★ 平板受聲源作用之振動與輻射聲場分析
★ 壓電吸振器應用於平板的振動與噪音控制	★ 主動式吸振器應用於薄板減振與減噪
★ 離散振動系統之分析軟體製作	★ 有洞薄方板之動態分析與激振後之聲場
★ 撓性結構之主動振動控制	★ 速度與位移回饋式壓電吸振器之減振研究
★ 以LabVIEW為介面之模態測試軟體製作	★ 電壓回饋壓電吸振器對平板之振動控制
★ 可調式消音閥的分析與最佳設計	★ 旋轉樑的動態分析與壓電吸振器之減振設計
★ 自感式壓電吸振器之設計與應用於矩形板之減振	★ 多孔薄方板之振動與聲場分析

檔案

[Endnote RIS 格式]

[Bibtex 格式]

[相關文章]

[文章引用]

[完整記錄]

[館藏目錄]

[檢視]

[下載]

本電子論文使用權限為同意立即開放。
已達開放權限電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。
請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。

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時對系統動態特性的影響。研究方法為利用有限元素軟體ANSYS建立無裂紋齒輪組與有裂紋齒輪組的幾何模型，首先分析出齒輪接觸點的接觸力與變形量後計算出齒輪的嚙合剛度，接著討論當裂紋位置改變或齒輪被施予的負載改變時對於齒輪嚙合剛度的影響，並為了縮短分析齒輪嚙合剛度的時間，可將齒輪的嚙合剛度簡化成二個部分分別求取後再串聯，最後再以集中質量法，將以等效質量、等效彈簧、等效阻尼建立起齒輪動態系統模型，將齒輪的嚙合剛度代入齒輪的運動方程式，並以數值方法求解齒輪的動態響應，分析無裂紋齒輪組與有裂紋齒輪組在各種不同轉速下以頻譜分析找出有裂紋齒輪的故障特徵。

摘要(英)

The target of this research is to study the effects of a tooth crack to the dynamic characteristics of a spur gear pair. A finite element software, ANSYS, is used for the simulation. The meshing stiffness of the gear pair is calculated by analyzing the contact force and deformation. The stiffness is dependent of the crack position and the contact condition. For reducing the calculation time, each gear can also be divided into two smaller parts which is analogical to springs. Then, the gear dynamic model is developed by the lumped-parameter method for the vibration response, and the equations of motion are derived. The dynamic responses of the gear pair are solved by using the numerical method. The features of dynamic signals are found for spur gear pair with the tooth crack and compared with those for gears with no crack.

關鍵字(中)

★ 齒輪
★ 嚙合剛度
★ 裂紋
★ 齒輪系統

關鍵字(英)

論文目次

目錄 ……....…………………………………………………………….I
圖索引…………………………………………………………………...V
表索引…………………………………………………………………XV
第一章緒論……………………………………………………………..1
1-1 前言………………………………………………………………...1
1-2 文獻回顧…………………………………………………………...2
1-3 內容提要…………………………………………………………...5
第二章基本理論……………………………………………………......7
2-1 齒輪振動的原因…………………………………………………...7
2-1-1齒輪嚙合剛度…………………………………………………...7
2-1-2傳遞誤差………………………………………………………...8
2-2 統御方程式……………………………………………………….10
2-2-1平衡方程式…………………………………………………….11
2-2-2應變與位移之關係…………………………………………….11
2-2-3應力與應變之關係…………………………………………….12
2-3 有限元素法原理………………………………………………….13
2-3-1彈性常數矩陣與形狀函數…………………………………….13
2-3-2ANSYS分析原理………………………………………………14
2-4 龍格–庫塔法原理………………………………………………...14
2-5訊號加窗……………………………………………………………16
第三章 ANSYS分析與嚙合剛度計算原理…………………………...18
3-1 齒輪嚙合剛度計算………………………………………………...18
3-2 ANSYS分析流程………………………………………………...21
3-2-1材料性質設定………………………………………………….22
3-2-2建立齒輪模型………………………………………………….22
3-2-3網格劃分設定………………………………………………….24
3-2-4齒輪邊界條件設定…………………………………………….26
3-2-5齒輪接觸設定………………………………………………….28
3-2-6齒輪變形量之計算…………………………………………….29
第四章齒輪嚙合剛度比較……………………………………………31
4-1 無裂紋齒輪組及齒根有裂紋齒輪組嚙合剛度比較……………...31
4-1-1探討齒根裂紋齒輪組變形量………………………………….31
4-1-2齒根裂紋齒輪組接觸力……………………………………….33
4-1-3齒根齒輪組嚙合剛度………………………………………….33
4-1-4應力分布……………………………………………………….35
4-2 無裂紋齒輪組及齒間有裂紋齒組嚙合剛度比較………………...36
4-2-1探討齒間裂紋齒輪組變形量………………………………….37
4-2-2齒間裂紋齒輪組接觸力……………………………………….39
4-2-3齒間裂紋齒輪組嚙合剛度…………………………………….39
4-3逆時針力矩…………………………………………………………41
4-3-1逆時針力矩齒根裂紋齒輪組變形量………………………….41
4-3-2逆時針力矩齒根裂紋齒輪組接觸力………………………….42
4-3-3逆時針力矩齒根裂紋齒輪組嚙合剛度……………………….43
第五章齒輪嚙合剛度簡化分析……………………….……………...44
5-1簡化分析基本設定…………………………………………………44
5-1-1第一種簡化分析模型設定…………………………………….44
5-1-2第二種簡化分析模型設定…………………………………….45
5-2簡化分析嚙合剛度計算……………………………………………46
5-3齒輪接觸力設定……………………………………………………50
5-4齒輪組接觸力的簡化分析結果……………………………………51
5-4-1變形量………………………………………………………….52
5-4-2扭轉嚙合剛度………………………………………………….53
5-4-3結論…………………………………………………………….53
5-5內插接觸力下的簡化分析結果……………………………………54
第六章齒輪系統動態模擬……………………………………………56
6-1齒輪系統的數學模型………………………………………………56
6-1-1嚙合剛度內插曲線…………………………………………….58
6-2齒輪的振動特性分析………………………………………………58
6-2-1無裂紋齒輪組振動特性分析………………………………….59
6-2-2齒根裂紋齒輪組振動特性分析……………………………….60
6-3 簡化分析下的齒輪振動特性……………………………………...62
第七章結論與未來展望………………………………………………65
7-1結論…………………………………………………………………65
7-2未來展望……………………………………………………………67
參考文獻………………………………………………………………..68

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.

林兆偉，2012，齒輪嚙合剛度預估與系統振動分析，國立中央大學機械研究所碩士論文，未出版，桃園縣

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 geared rotor-bearing system with multiple clearance, 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(Yi-mei Huang)

審核日期

2014-8-22

推文