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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 differential transformation method (DTM) to study the dynamic behavior of a gyroscope control system. The analytical results reveal a complex dynamic behavior comprising periodic, sub-harmonic, quasi-periodic, and chaotic responses of the center of gravity. Furthermore, the results reveal the changes which take place in the dynamic behavior of the gyroscope control system as the...
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