Application of a hybrid method to the nonlinear dynamic analysis of a flexible rotor supported by a spherical gas-lubricated bearing system.

*(English)*Zbl 1180.76017The author employs a hybrid numerical method combining the differential transformation method and the finite difference method to study the nonlinear dynamic behavior of a flexible rotor supported by a spherical gas-lubricated bearing system. The analytical results reveal a complex dynamic behavior comprising periodic, sub-harmonic, and quasi-periodic responses of the rotor center and the journal center. Furthermore, the results reveal the changes in the dynamic behavior of the bearing system as the rotor mass and bearing number are increased. The analytical results are found to be in good agreement with those from other numerical methods. Therefore, the proposed method provides effective means of gaining insights into the nonlinear dynamics of spherical gas-film rotor-bearing systems.

Reviewer: Jagdish Prakash (Mumbai)

##### MSC:

76D08 | Lubrication theory |

70K43 | Quasi-periodic motions and invariant tori for nonlinear problems in mechanics |

##### Keywords:

differential transformation method; Reynolds equation; quasi-periodic response; finite difference method
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\textit{C.-C. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 5, 2035--2053 (2009; Zbl 1180.76017)

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##### References:

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