Abstract
In this work, the nonlinear dynamic and force transmissibility characteristics of a flexible shaft–disk rotor system supported by suspension system with nonlinear stiffness and damping are investigated numerically. The distributed variables representing the elastic motions of the shaft are discretized using the Assumed Mode Method (AMM) and the equations of motion (EOM) are subsequently obtained using Lagrange’s equation. The Harmonic Balance (HB) method combined with a continuation scheme is used to determine the nonlinear frequency response and force transmissibility curves due to disk unbalance force. The effect of the bearing stiffness nonlinearity on the system dynamics when supported by stiff and soft linear bearing stiffness is investigated. In addition, the influence of the bearing damping nonlinearity is investigated and compared with that due to linear damping.
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