Abstract
This study deals with nonlinear dynamics of a horizontally supported Jeffcott rotor. The equation of motion is derived by considering the gravity effect and the cubic nonlinearity of restoring forces. The linear natural frequencies in the vertical and horizontal directions are different due to the gravity effect and they are independently changed depending on the mass of the rigid disk. Also, the equivalent cubic nonlinearity, which depends on the mass of the rigid disk, determines the nonlinear spring characteristics of backbone curves. It is theoretically predicted that the decrease of the mass makes the nonlinear characteristics hardening and the critical magnitudes of the mass, at which the nonlinear spring characteristic is transformed from soft to hard, are different for lateral and vertical directions. The experimental results by a simple apparatus qualitatively confirm the theoretically predicted nonlinear characteristics of the horizontally supported Jeffcott rotor.
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