Abstract
This study is to investigate the dynamics of a rotor, with a single degree of freedom (SDOF), mounted on nonlinear bearings. This system has piecewise‐linear stiffness and is subjected to a forcing excitation due to residual mass imbalance as well as a parametric one due to an axial periodic thrust. The frequencies for each individual parametric and forcing excitations are not equivalent, neither do they have a ratio of two simple integers. By using the fourthorder Runge–Kutta method a J‐integral model, this strongly nonlinear system can be estimated for various parameters. The J‐integral bifurcation can be analyzed by using the Poincaré maps, the frequency spectra, the response waveforms, and the Lyapunov exponents in order to illustrate the jump phenomenon, the frequency‐locking, and the routes to chaos. Furthermore, the intra‐systematic relationship can be determined by the frequencies of spontaneous sidebanding clusters.
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