caa a22 4500 445361220 CHVBK 20180317142915.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s11071-010-9884-2 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9884-2 Two-mode combination resonances of an in-extensional rotating shaft with large amplitude [Elektronische Daten] [S. Khadem, M. Shahgholi, S. Hosseini] In this paper, two-mode combination resonances of a simply supported rotating shaft are investigated. The shaft is modeled as an in-extensional spinning beam with large amplitude. Rotary inertia and gyroscopic effects are included, but shear deformation is neglected. The equations of motion are derived with the aid of the Hamilton principle and then transformed to the complex form. The method of harmonic balance is applied to obtain analytical solutions. Frequency-response curves are plotted for the combination resonances of the first and the second modes. The effects of eccentricity and external damping are investigated on the steady state response of the rotating shaft. The loci of saddle node bifurcation points are plotted as functions of external damping and eccentricity. The results are validated with numerical simulations. Springer Science+Business Media B.V., 2010 Rotating shaft nationallicence Large amplitude nationallicence Nonlinear vibration nationallicence Two-mode combination resonances nationallicence Harmonic balance method nationallicence Khadem S. P.O. Box 14115-177, Tehran, Iran aut Shahgholi M. Department of Mechanical Engineering, Tarbiat Modarres University, Tehran, Iran aut Hosseini S. Department of Mechanical Engineering, Tarbiat Modarres University, Tehran, Iran aut Nonlinear Dynamics Springer Netherlands 65/3(2011-08-01), 217-233 0924-090X 65:3<217 2011 65 11071 https://doi.org/10.1007/s11071-010-9884-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9884-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Khadem S. P.O. Box 14115-177, Tehran, Iran aut NATIONALLICENCE 700 1- Shahgholi M. Department of Mechanical Engineering, Tarbiat Modarres University, Tehran, Iran aut NATIONALLICENCE 700 1- Hosseini S. Department of Mechanical Engineering, Tarbiat Modarres University, Tehran, Iran aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 65/3(2011-08-01), 217-233 0924-090X 65:3<217 2011 65 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer