Bifurcation analysis for 2:1 and 3:1 super-harmonic resonances of an aircraft cracked rotor system due to maneuver load

Hou, Lei; Chen, Yushu; Lu, Zhenyong; Li, Zhonggang

doi:10.1007/s11071-015-2009-1

Cited by 39 publications

(17 citation statements)

References 40 publications

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“…Ishida [43] discussed the different resonance conditions that arises due to the shaft cracks on a simple Jeffcott-rotor system. Hou et al [44] studied dynamical behaviors of a cracked aircraft rotor when subjected to the maneuvering load. The authors modeled their system as a simple Jeffcott rotor system, where the 1:2 and 1:3 superharmonic resonance cases were investigated.…”

Section: Introductionmentioning

confidence: 99%

Periodic, Quasi-Periodic, and Chaotic Motions to Diagnose a Crack on a Horizontally Supported Nonlinear Rotor System

2020

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This work aims to diagnose the crack size of a nonlinear rotating shaft system based on the qualitative change of the system oscillatory characteristics. The considered system is modeled as a two-degree-of-freedom horizontally supported nonlinear Jeffcott rotor system. The influence of the crack size on the system whirling motion for the primary, superharmonic, and subharmonic resonance cases are investigated utilizing the bifurcation diagram, Poincaré map, frequency spectrum, and whirling orbit. The obtained numerical results revealed that the cracked system whirling motion is subjected to a continuous qualitative change as the crack size increases for the superharmonic resonance case, where the system can exhibit period-1, period-2, quasi-periodic, period-3, period-doubling, chaotic, and period-2 motions, sequentially. In addition, an asymmetry is observed in the system whirling orbit due to both the shaft weight and shaft crack. Moreover, it is found that the disk eccentricity does not affect the nature of these motions. Accordingly, we illustrated a simple method to diagnose the existence of such a crack and to quantify its size via monitoring the system lateral vibrations at the superharmonic resonance. Finally, all the obtained numerical results are concluded and a comparison with already published work is included.

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Section: Introductionmentioning

confidence: 99%

Periodic, Quasi-Periodic, and Chaotic Motions to Diagnose a Crack on a Horizontally Supported Nonlinear Rotor System

2020

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“…At the same time, Zheng [5] introduced a maneuver equivalent force to establish a new model to compensate for the influence of maneuvering on AMB-rotor stability. Furthermore, Hou et al [6] also applied the multiscale method to study the superharmonic resonance response of an aircraft cracked rotor caused by maneuvering; later in reference [7], they computed its nonlinear dynamic response of aircraft rotor system by introducing the Herbst flight parameters to control maneuvering flight. Wang et al [8] simulated the dynamic property of a rotor system under centrifugal force and base movements, which is El Centro seismic wave.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Characteristics of Marine Rotor‐Bearing System under Heaving Motion

Han

2019

Shock and Vibration

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In this paper, the influence of the heaving motion on the nonlinear dynamic behavior of the rotor-bearing system is considered. First, a mathematic model of the marine rotor-bearing system is developed on the short bearing theory in the noninertial reference system, in which the heaving motion is taken into account. Then its dynamic characteristics are analyzed based on the numerical integration method, such as the bifurcation diagram, the largest Lyapunov exponents (LLE), the steady-state response, and the rotor orbit and its Poincaré map. The results indicate that heaving motion has a great effect on the dynamics of the rotor system, which exhibits a period 1 motion at low rotating speed, with the increase of the rotating speed, the phenomena of the quasiperiodic, period 2, and double Hopf bifurcations appear. Its dynamic performance presents a period 1 motion, period 2, quasiperiodic, and chaotic oscillation.

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“…An aircraft's engine's rotor often works under the transient conditions when the aircraft takes off or lands, performs stunts, or follows a climbing-diving flight model [15]. The vibration signal of the cracked rotor system exhibits the non-periodic and nonlinear • The crack fault can be effectively extracted by the HHMS method from complex vibration signals.…”

Section: Introductionmentioning

confidence: 99%

Research of Crack Detection and Delay Crack Propagation on a Nonlinear Rotor

2018

SV-JME

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The existence and propagation of a crack on an engine's nonlinear rotor can easily cause a serious accident, so it is quite essential to detect a crack in the rotor system through analysis of the rotor's vibration signals and to delay the crack propagation. The vibration signals of the cracked rotor show the non-periodic and the nonlinearity within a transient response. The fault characteristics of the crack can be easily hidden in other vibrational components and are difficult to extract from transient signals. In the paper, the Hilbert-Huang marginal spectrum (HHMS) method is proposed to realize the extraction of crack's fault characteristics in a nonlinear rotor system. In addition, the crack's opening and closing degrees at any rotating position are also put forward representing the crack propagation, and some tactics of the delaying crack propagation are proposed based on the effect on the crack's opening and closing degree caused by the change of different rotor parameters. The simulation results show that the HHMS method can detect a crack early at about five per cent of the depth of the rotor's diameter, and the methods of delaying crack propagation can effectively delay propagation. Experimental results verify the effectiveness of the proposed HHMS method.

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Bifurcation analysis for 2:1 and 3:1 super-harmonic resonances of an aircraft cracked rotor system due to maneuver load

Cited by 39 publications

References 40 publications

Periodic, Quasi-Periodic, and Chaotic Motions to Diagnose a Crack on a Horizontally Supported Nonlinear Rotor System

Periodic, Quasi-Periodic, and Chaotic Motions to Diagnose a Crack on a Horizontally Supported Nonlinear Rotor System

Nonlinear Dynamic Characteristics of Marine Rotor‐Bearing System under Heaving Motion

Research of Crack Detection and Delay Crack Propagation on a Nonlinear Rotor

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