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    Nonlinear Dynamic Analysis of a Cracked Rotor Bearing System With Fractional Order Damping

    Source: Journal of Computational and Nonlinear Dynamics:;2013:;volume( 008 ):;issue: 003::page 31008
    Author:
    Cao, Junyi
    ,
    Xue, Shiming
    ,
    Lin, Jing
    ,
    Chen, Yangquan
    DOI: 10.1115/1.4023010
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Fatigue cracking of the rotor shaft is an important fault observed in the rotating machinery of key industries, which can lead to catastrophic failure. Nonlinear dynamics of a cracked rotor system with fractional order damping is investigated by using a responsedependent breathing crack model. The fourthorder Runge–Kutta method and tenthorder continued fraction expansionEuler (CFEEuler) method are introduced to simulate the proposed system equation of fractional order cracked rotors. The effects of the derivative order of damping, rotating speed ratio, crack depth, orientation angle of imbalance relative to the crack direction, and mass eccentricity on the system dynamics are demonstrated by using a bifurcation diagram, Poincarأ© map, and rotor trajectory diagram. The simulation results show that the rotor system displays chaotic, quasiperiodic, and periodic motions as the fractional order increases. It is also observed that the imbalance eccentricity level, crack depth, rotational speed, fractional damping, and crack angle all have considerable influence on the nonlinear behavior of the cracked rotor system. Finally, the experimental results verify the effectiveness of the theoretical analysis.
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      Nonlinear Dynamic Analysis of a Cracked Rotor Bearing System With Fractional Order Damping

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    http://yetl.yabesh.ir/yetl1/handle/yetl/151191
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    contributor authorCao, Junyi
    contributor authorXue, Shiming
    contributor authorLin, Jing
    contributor authorChen, Yangquan
    date accessioned2017-05-09T00:57:04Z
    date available2017-05-09T00:57:04Z
    date issued2013
    identifier issn1555-1415
    identifier othercnd_8_3_031008.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/151191
    description abstractFatigue cracking of the rotor shaft is an important fault observed in the rotating machinery of key industries, which can lead to catastrophic failure. Nonlinear dynamics of a cracked rotor system with fractional order damping is investigated by using a responsedependent breathing crack model. The fourthorder Runge–Kutta method and tenthorder continued fraction expansionEuler (CFEEuler) method are introduced to simulate the proposed system equation of fractional order cracked rotors. The effects of the derivative order of damping, rotating speed ratio, crack depth, orientation angle of imbalance relative to the crack direction, and mass eccentricity on the system dynamics are demonstrated by using a bifurcation diagram, Poincarأ© map, and rotor trajectory diagram. The simulation results show that the rotor system displays chaotic, quasiperiodic, and periodic motions as the fractional order increases. It is also observed that the imbalance eccentricity level, crack depth, rotational speed, fractional damping, and crack angle all have considerable influence on the nonlinear behavior of the cracked rotor system. Finally, the experimental results verify the effectiveness of the theoretical analysis.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNonlinear Dynamic Analysis of a Cracked Rotor Bearing System With Fractional Order Damping
    typeJournal Paper
    journal volume8
    journal issue3
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4023010
    journal fristpage31008
    journal lastpage31008
    identifier eissn1555-1423
    treeJournal of Computational and Nonlinear Dynamics:;2013:;volume( 008 ):;issue: 003
    contenttypeFulltext
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