Nonlinear Dynamic Analysis of a Cracked Rotor Bearing System With Fractional Order DampingSource: Journal of Computational and Nonlinear Dynamics:;2013:;volume( 008 ):;issue: 003::page 31008DOI: 10.1115/1.4023010Publisher: 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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contributor author | Cao, Junyi | |
contributor author | Xue, Shiming | |
contributor author | Lin, Jing | |
contributor author | Chen, Yangquan | |
date accessioned | 2017-05-09T00:57:04Z | |
date available | 2017-05-09T00:57:04Z | |
date issued | 2013 | |
identifier issn | 1555-1415 | |
identifier other | cnd_8_3_031008.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/151191 | |
description 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. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Nonlinear Dynamic Analysis of a Cracked Rotor Bearing System With Fractional Order Damping | |
type | Journal Paper | |
journal volume | 8 | |
journal issue | 3 | |
journal title | Journal of Computational and Nonlinear Dynamics | |
identifier doi | 10.1115/1.4023010 | |
journal fristpage | 31008 | |
journal lastpage | 31008 | |
identifier eissn | 1555-1423 | |
tree | Journal of Computational and Nonlinear Dynamics:;2013:;volume( 008 ):;issue: 003 | |
contenttype | Fulltext |