Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/1536
標題: 正齒輪連結雙旋轉複合材料軸振動特性之探討
Vibration Analysis of Double Spinning Composite Shafts Systems Coupled by Spur Gears.
作者: 吳慶頤
Wu, Ching-Yi
關鍵字: Coupled gears;齒輪耦合;Composite shafts;Vibration;Finite element method;複合材料軸;振動;有限元素法
出版社: 機械工程學系所
引用: 1. Iida, Hiroshi, Tamura, Akiyoshi , Kikuch, Katsuaki and Agata , Hiroshi, “Coupled Torsional-flexural Vibration of a Shaft in a Geared System of Rotors (1st Report),” Bulletin of the JSME, Vol. 23, No.186, December 1980, PP. 2111-2117. 2. Iida, Hiroshi, Tamura, Akiyoshi and Masataka, Oonishi, “Coupled Torsional flexural Vibration of a Shaft in a Geared System, (3rd Report, Dynamic Characteristics of a Counter Shaft in a Gear Train System)” Bulletin of JSME, Vol. 28, No. 245, November 1985, PP. 2694-2698. 3. Neriya, S. V., Bhat, R. B. and T. S., Sanker, “Effect of Coupled Torsion-Flexural Vibration of a Geared Shaft System on the Dynamic Tooth Load,” The Shock and Vibration Bulletin, part3, Vol. 54, 1984, PP. 67-75. 4. Özgüvent, H. Nevzat and Z., Levent Özkan, “Whirl Speeds and Unbalance Response of Multibearing Rotors Using Finite Elements,” Journal of Vibration, Acoustics, Stress, and Reliability in design, Vol.106, January 1984, PP. 72-79. 5. Neriya, S. V. , Bhat, R. B. and T. S., Sanker, “Coupled Torsional-Flexural Vibration of a Geared Shaft System Using Finite Element Analysis,” The Shock and Vibration Bulletin, part3, Vol. 55, 1985, PP. 13-25. 6. Tavakoli, M. S. and D. R., Houser, “Optimum Profile Modifications for the Minimization of Static Transmission Errors of Spur Gears,” Journal of Mechanisms Transmissions, and Automation in Design, Transactions of the ASME, Vol. 108, March 1986, PP. 86-95. 7. Özgüvent, H. Nevzat and D. R., Houser, “Dynamic Analysis of High Seed Gears by Using Loaded Static Transmission Error,” Journal of Sound and Vibration, 125 (1), 1988, PP. 71-83. 8. Özgüvent, H. Nevzat and D. R., Houser, “Mathematical Models Used In Gear Dynamics a Review,” Journal of Sound and Vibration, 121(3), 1988, PP. 383-411. 9. Özgüvent, H. N., “A Non-linear Mathematical Model For Dynamic Analysis of Spur Gears including Shaft and Bearing Dynamics,” Journal of Sound and Vibration, 145(2), 1991, PP. 239-260. 10. Kahraman, A., Özgüvent, H. Nevzat and D. R.,Houser, “Dynamic Analysis of Geared Rotors by Finite Elements,” Journal of Mechanical Design, Vol. 114, September 1992, PP. 507-514. 11. 周有偉,“混合法於齒輪轉子軸承系統之研究,”碩士論文,成功大學航空太空工程學系,1992 12. 張哲榮,“齒輪轉子軸承系統動態特性之研究,”博士論文,成功大學航空太空工程學系,1996 13. 黃博亮,“高速塑膠齒對運轉動態特性分析,”碩士論文,中山大學機械工程學系研究所,1996 14. 虞烈,劉恆,“齒輪耦合的多平行軸軸承—轉子系統,”轉子—轉子系統動力學,西安交通大學,2000, PP. 221-260. 15. 林阿德,“正齒輪對運轉過程中磨耗與動態負載交互影響之探討,”博士論文,中山大學機械工程學系研究所,2000 16. Theodossiades, S. and S., Natsiavas, “On Geared Rotordynamic Systems with Oil Journal Bearing,” Journal of Sound and Vibration, 243(4), 2001, PP. 721 -745. 17. Li, M., Hu, H. Y., Jiang, P. L. and L. Yu, “Coupled Axial-Lateral-Torsional Dynamics of a Rotor-Bearing System Geared by Spur Bevel Gears,” Journal of Sound and Vibration, 254(3), 2002, PP. 427-446. 18. Maliha, Rafiq, Dogruer, Can U. and H. Özgüvent, Nevzat, “Nonlinear Dynamic Modeling of Gear-Shaft-Disk-Bearing Systems Using Finite Elements and Describing Function,” Journal of Mechanical Design, Vol. 126, May 2006, PP. 534-541. 19. 詹政川,“承受持續外激力旋轉軸震動之主動控制,”碩士論文,中興大學機械工程學系研究所,1996 20. 陳鄭貴,“複合材料旋轉軸之動態響應與其震動控制之探討,”碩士論文,中興大學機械工程學系研究所,1998 21. 蔡家偉,“複合材料軸-圓盤系統振動特性之探討,”碩士論文,中興大學機械工程學系研究所,2005 22. Reddy, J. N., An Introduction to Finite Element Method, McGraw-Hill Book Company, 1984 23. Shigley, Joseph Edward and Charles R., Mischke, Mechanical Engineering Design Fifth Edition, McGraw-Hill Book Company, 1989 24. Bert, C. W. and C. D. Kim, “Whirling of Composite-Material Driveshafts Including Bending-Twisting Coupling and Transverse Shear Deformation,” Journal of Vibration and Acoustics, Vol. 117, 1995, PP. 17-21.
摘要: 
本文主要目的,在結合複合材料旋轉軸的理論與齒輪聯結理論,導出含齒輪聯結效應之雙複合材料軸的運動方程式,並探討系統的振動特性與暫態響應。有關齒輪的部分,除將其視為剛性圓盤外,於兩齒輪相接觸處的變形以及摩擦,則以彈簧與阻尼器模擬。首先利用齒接觸點處的位移及速度向量,導出因齒輪偏心與穩態傳遞誤差所造成的激發力,以及齒輪嚙合部的耦合勁度矩陣與耦合阻尼矩陣。

將導出的耦合勁度矩陣與耦合阻尼矩陣,與複合材料旋轉軸的運動方程式中的勁度矩陣與阻尼矩陣結合,可得到耦合系統的完整運動方程式。利用此運動方程式,建立系統的動態特性矩陣,分析等向性材料軸與不同的複合材料軸系統的自然頻率與振動模態。並利用肯博尼圖,分析不同轉速下系統的迴旋速度及其對應的振動模態,觀察到振動模態會因轉速的變化而出現模態改變的情形。本文並使用模態疊加法,分析旋轉軸在特定轉速下,系統特定位置的暫態響應。

In this study, a spur gear coupled theory combined with a spinning composite flexible shaft theory, is used to develop a double spinning composite shafts model that are containing coupled by spur gears. The gears are assumed rigid, but at the contact gear teeth, a spring and viscose dashpot are used to simulate the effect due to the deformation of the teeth resulting from large contact forces. For the gears, firstly, the displacement and velocity vectors of the contact location are used to find the excitation forces that come from eccentricity and the static transmission error, and the coupled stiffness and damping matrices.

Assembling the coupled stiffness and damping matrices in those of the composite shaft system, the governing equations of the whole system are derived. The governing equations are used to study the isotropic shafts and made of composite materials. The natural frequencies and vibration mode shapes are analyzed. Campbell diagrams are plotted. And then indicate that mode shapes may change as the spinning speed varies. Finally, the dynamic responses of the systems are analyzed using the mode summation method.
URI: http://hdl.handle.net/11455/1536
其他識別: U0005-0802200716091400
Appears in Collections:機械工程學系所

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