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Order reduction and nonlinear behaviors of a continuous rotor system

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Abstract

An isotropic flexible shaft, acted by nonlinear fluid-induced forces generated from oil-lubricated journal bearings and hydrodynamic seal, is considered in this paper. Dimension reductions of the rotor system were carried out by both the standard Galerkin method and the nonlinear Galerkin method. Numerical simulations provide bifurcation diagrams, spectrum cascade, orbits of the disk center and Poincaré maps, to demonstrate the dynamical behaviors of the system. The results reveal transitions, or bifurcations, of the rotor whirl from being synchronous to non-synchronous as the unstable speed is exceeded. The non-synchronous oil/seal whirl is a quasi-periodic motion. In the regime of quasi-periodic motion, the “windows” of multi-periodic motion were found. The investigation shows that the nonlinear Galerkin method has an advantage over the standard one with the same order of truncations, because the influences of higher modes are considered by the former.

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Authors and Affiliations

  1. School of Mechanical Engineering, Tianjin University, Tianjin, 300072, China

    Qian Ding & Kunpeng Zhang

  2. Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin, 300072, China

    Qian Ding & Kunpeng Zhang

Authors
  1. Qian Ding
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  2. Kunpeng Zhang
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Correspondence to Qian Ding.

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Ding, Q., Zhang, K. Order reduction and nonlinear behaviors of a continuous rotor system. Nonlinear Dyn 67, 251–262 (2012). https://doi.org/10.1007/s11071-011-9975-8

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  • DOI: https://doi.org/10.1007/s11071-011-9975-8

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