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Studies of the Primary resonance of Gear-Coupled Composite Shafts supported by nonlinear bearings.
|引用:||參考文獻 1. S. V. Neriya, R. B. Bhat, 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, part 3, Vol. 54, 1984, pp. 67-75. 2. S. V. Neriya, R. B. Bhat, 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. 3. H. N. Özgüvent, “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. 4. A. Kahraman, H. N. Özgüvent, and D. R. Houser, “Dynamic Analysis of Geared Rotors by Finite Elements,” Journal of Mechanical Design, Vol. 114, September 1992, pp. 507-514. 5. 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 6. R. Maliha, C. U. Dogruer, and H. N. Özgüvent, “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. 7. T. Yamamoto, Y. Ishida, and K. Aizawa, “ On the Subharmonic Oscillations at Unsymmetrical Shafts,” Bulletin JSME, Vol. 22, 1979, pp. 164-173. 8. T. Yamamoto, Y. Ishida, T. Ikedam and M. Yamada, “ Subharmonic and Summed-and-Differential Harmonic Oscillations of an Unsymmetrical Rotor,” Bulletin JSME, Vol. 24, 1981, pp. 192-199. 9. L. Cveticanin, “ Resonant Vibrations of Nonlinear Rotors,” Mechanism and Machine Theory, Vol. 30, 1995, pp. 581-588. 10. Z. Ji and J. W. Zu, “ Method of Multiple Scales for Vibration Analysis of Rotor-Shaft Systems with Non-Linear Bearing Pedestal Model,” Journal of Sound and Vibration, Vol. 218(2), 1998, pp. 293-305. 11. 彭文彬,複材旋轉軸非線性振動之研究,碩士論文,中興大學機械工程學系研究所,2002 12. 詹政川,承受持續外激力旋轉軸振動之主動控制,碩士論文,中興大學機械研究所, 1996 13. 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 14. 吳慶頤,正齒輪聯結雙旋轉複合材料軸振動特性之探討,碩士論文,中興大學機械工程學系研究所,2007 15. 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 16. C. W. Bert, 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.|
The main objective of this thesis is to study the nonlinear vibration behavior of two composite shafts coupled by spur gears operating at or near the system’s critical speed. In the developed model, the gears and disk mounted on the shafts are treated as rigid bodies. A spring and a viscous damper are used to simulate the elastic deformation of and the friction between the meshing teeth of the spur gears. And by employing a spinning composite flexible shaft theory, a finite element system model that contains double spinning composite shafts coupled by spur gears is derived. In the studied examples, first, the non-linear stiffness of bearings is omitted. The system hence is linear, and the modes superposition method is used to analyze and compare the transient dynamic responses for systems with or without the gear coupling effect. Next, the nonlinear stiffness of bearings is included. The nonlinear finite element equations are then decoupled and solved by an approach combining the modal analysis and the multiple-scale perturbation methods. An explicit expression of the amplitude vs. the rotational speed of the system spinning at a speed close to its bending mode or coupled mode frequency is derived. The analyses are carried out for different nonlinear stiffness of bearings, lamination angles of composite, and the coupled stiffness and viscous damping of meshing gears. It is found from the examples being analyzed when system spinning at a speed at or near its resonance frequency, the amplitude of the system which considering the coupling effect of meshing gears is smaller than that without such an effect, and the nonlinear characteristics of response of the former system also becomes less obvious. The analyses also indicate that the amplitude is smaller when the value of nonlinear stiffness of bearings, the couple stiffness or the couple damping of meshing gears becomes larger.
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