Primary resonances of a nonlinear in-extensional rotating shaft
作者： S.E. Khadem , M. Shahgholi , S.A.A. Hosseini
DOI: 10.1016/J.MECHMACHTHEORY.2010.03.012
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摘要: In this paper, primary resonances of a simply supported in-extensional rotating shaft with large amplitudes are studied. The method multiple scales is applied to the discretized equations as well complex form partial differential motion. effects diametrical mass moment inertia, eccentricity and external damping investigated on steady state response shaft. loci saddle node bifurcation points plotted functions coefficient eccentricity.
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sci-hub.se 参考文章(30)
W. Kurnik, Stability and bifurcation analysis of a nonlinear transversally loaded rotating shaft Nonlinear Dynamics. ,vol. 5, pp. 39- 52 ,(1994) , 10.1007/BF00045079
Ali Hasan Nayfeh, P. Frank Pai, Linear and nonlinear structural mechanics ,(2002)
Yukio ISHIDA, Tsuyoshi INOUE, Nonstationary oscillations of a nonlinear rotor during acceleration through the major critical speed: Influence of internal resonance Jsme International Journal Series C-mechanical Systems Machine Elements and Manufacturing. ,vol. 41, pp. 599- 607 ,(1998) , 10.1299/JSMEC.41.599
Mark H. Holmes, Introduction to Perturbation Methods ,(1995)
S.A.A. Hosseini, S.E. Khadem, Vibration and reliability of a rotating beam with random properties under random excitation International Journal of Mechanical Sciences. ,vol. 49, pp. 1377- 1388 ,(2007) , 10.1016/J.IJMECSCI.2007.04.008
Z Ji, JW Zu, None, METHOD OF MULTIPLE SCALES FOR VIBRATION ANALYSIS OF ROTOR SHAFT SYSTEMS WITH NON-LINEAR BEARING PEDESTAL MODEL Journal of Sound and Vibration. ,vol. 218, pp. 293- 305 ,(1998) , 10.1006/JSVI.1998.1835
Nabeel Shabaneh, Jean W. Zu, Nonlinear Dynamic Analysis of a Rotor Shaft System With Viscoelastically Supported Bearings Journal of Vibration and Acoustics. ,vol. 125, pp. 290- 298 ,(2003) , 10.1115/1.1547684
D. Jiang, C. Pierre, S.W. Shaw, Large-amplitude non-linear normal modes of piecewise linear systems Journal of Sound and Vibration. ,vol. 272, pp. 869- 891 ,(2004) , 10.1016/S0022-460X(03)00497-8
W. Lacarbonara, DIRECT TREATMENT AND DISCRETIZATIONS OF NON-LINEAR SPATIALLY CONTINUOUS SYSTEMS Journal of Sound and Vibration. ,vol. 221, pp. 849- 866 ,(1999) , 10.1006/JSVI.1998.2049
Yukio Ishida, Tsuyoshi Inoue, Internal Resonance Phenomena of the Jeffcott Rotor With Nonlinear Spring Characteristics Journal of Vibration and Acoustics. ,vol. 126, pp. 476- 484 ,(2004) , 10.1115/1.1805000