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This paper employs a hybrid numerical method combining the differential transformation method (DTM) and the finite difference method (FDM) to analyze the nonlinear dynamic behavior of a rigid rotor supported by an elliptic gas bearing system (EGBS). The results obtained for the orbits of the rotor center are in good agreement with those obtained using the traditional FDM approach. Moreover, the results...
This paper employs a novel hybrid numerical method combining the differential transformation method and the finite difference method to study the bifurcation and chaotic behavior of a flexible rotor supported by a relative short spherical air bearing (RSSAB) system. The analytical results reveal a complex dynamic behavior comprising periodic, sub-harmonic, quasi-periodic, and chaotic responses of...
This paper studies the nonlinear behaviors of an earthquake model including periodic, quasi-periodic, and chaotic motions. The differential transformation method is employed to solve the govern-equation. The system state phase portraits, Poincare?? maps, power spectra, and bifurcation diagrams are used to analyze the dynamic behavior of the model in the horizontal direction under different operating...
This paper employs a numerical method combining the differential transformation method and the finite difference method to study the bifurcation behavior of a rigid rotor supported by a micro gas bearing system. The numerical results reveal a complex dynamic behavior comprising periodic, sub-harmonic, and quasi-periodic responses of the rotor center. Furthermore, the results reveal the changes which...
This paper employs a hybrid numerical method combining the differential transformation method and the finite difference method to study the dynamic behavior of a rigid rotor supported by a micro gas journal bearing system. The analytical results reveal a complex dynamic behavior comprising periodic, sub-harmonic, and quasi-periodic responses of the rotor center. Furthermore, the results reveal the...
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