Free vibration analysis of a nonlinear slender rotating shaft with simply support conditions

作者: M. Shahgholi , S.E. Khadem , S. Bab

DOI: 10.1016/J.MECHMACHTHEORY.2014.08.005

关键词: Nonlinear systemMechanicsRotary inertiaClassical mechanicsGyroscopeEquations of motionHamilton's principleVibrationEngineering

摘要: Abstract The free vibration analysis of a nonlinear slender rotating shaft with simply support conditions is studied. In the effect shear deformation negligible. Accordingly, in modeling system rotary inertia and gyroscopic are considered. equations motion derived by extended Hamilton principle. analyzed utilizing multiple scales method. forward backward frequencies obtained. It seen that for natural shaft, modes involved.

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