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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.


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.
其他識別: U0005-0802200716091400
Appears in Collections:機械工程學系所

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