Bifurcation and chaos response of a cracked rotor with random disturbance

Leng, Xiaolei; Meng, Guang; Zhang, Tao; Fang, Tong

doi:10.1016/j.jsv.2006.07.006

Cited by 25 publications

(20 citation statements)

References 3 publications

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“…Yang reported that chaos due to nonlinearity induced by the crack may possibly occur [77]. Several works deal with the stability of cracked structures [78][79][80][81].…”

Section: Stability Analysis Of Cracked Shaftsmentioning

confidence: 99%

The strain energy release approach for modeling cracks in rotors: A state of the art review

Papadopoulos

2008

Mechanical Systems and Signal Processing

156

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“…Yang reported that chaos due to nonlinearity induced by the crack may possibly occur [77]. Several works deal with the stability of cracked structures [78][79][80][81].…”

Section: Stability Analysis Of Cracked Shaftsmentioning

confidence: 99%

The strain energy release approach for modeling cracks in rotors: A state of the art review

Papadopoulos

2008

Mechanical Systems and Signal Processing

156

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“…Some have proposed an analytical analysis of bifurcations [10,11] and showed discontinuity in bifurcation maps. Transitions between chaotic and periodic solutions have been widely studied on many nonlinear mechanical systems, such as pendulum [12], tank filled with water [13], disk brake [14], or cracked rotor [15].…”

Section: Introductionmentioning

confidence: 99%

Impact forces occurring in a forced damped multi-body system with clearances

Ricciardi¹

2018

SV-JME

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The purpose of this paper is to study the effect of clearance and other parameters on the maximal impact forces likely to occur in a forced multi-body system. Numerical simulations are performed for a large range of parameters. The numerical results showed three regions. In the first one, there is no contact between the bodies. The second one, defined as the smooth region, is characterized by regular evolution with a concentration of the impact forces at the boundaries. In the last one, where the most important impact forces are met, the system shows chaotic behaviours and coincides with the lower values of clearance. Theoretical upper bounds for the maximal forces are proposed and compared to numerical results. In the smooth region, the criterion is respected, but in the chaotic region, some discrepancies are observed. Nevertheless, the criterion gives a good estimation. The dimensionless analysis showed that the maximal impact force is proportional to the mass, the acceleration, the stiffness ratio and the inverse of the damping ratio.

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“…During the past several decades, for the dynamic behaviours of cracked rotor bearing system, many studies have been carried out theoretically or experimentally [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Most of their studies based on the Jeffcott rotor system and rotor shaft crack.…”

Section: Introductionmentioning

confidence: 99%

Stability and bifurcation of a flexible rod-fastening rotor bearing system with a transverse open crack

Wang¹,

Liu²,

Liu³

et al. 2018

J. vibroeng.

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The stability and bifurcation of a flexible rod-fastening rotor bearing system with a transverse open crack in a fastening rod are investigated. The nonlinear dynamic model of a cracked rod-fastening rotor system is established based on the finite element method. A methodology is introduced where shooting method, path-following technique, and Floquet theory are combined for determining the periodic solutions and stability margins of the system. The effects of crack depth and mass eccentricities on the system are studied by numerical simulations. Results show the system stability will reduce due to the presence of crack, two saddlebacks occur on the periodic-doubling borderline whose bottom location corresponds to the two resonant peak of bearing node, and effects of the crack and mass eccentricity play a dominant position in different conditions respectively. Comparisons between the cracked rotor system and the intact ones referred in the literature indicate that some special characteristics of cracked rod-fastening rotor system in motion orbits and frequency components can be used to detect the presence of crack and its depth.

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Bifurcation and chaos response of a cracked rotor with random disturbance

Cited by 25 publications

References 3 publications

The strain energy release approach for modeling cracks in rotors: A state of the art review

The strain energy release approach for modeling cracks in rotors: A state of the art review

Impact forces occurring in a forced damped multi-body system with clearances

Stability and bifurcation of a flexible rod-fastening rotor bearing system with a transverse open crack

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