Regular and chaotic dynamics of a discontinuously nonlinear rotor system

Karpenko, E. V.; Wiercigroch, Marian; Cartmell, M.P.

doi:10.1016/s0960-0779(01)00126-6

Cited by 70 publications

(39 citation statements)

References 18 publications

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“…However, a low damping can increase region 2 and shorten region 3 . It can also reveal small chaotic areas in region 1 . On the contrary, a high damping value tends to attenuate chaotic regions 2 and 4 until they disappear for higher damping ratios.…”

Section: Simulation Methods and General Resultsmentioning

confidence: 97%

“…The experimental validation of numerical simulations has usually been observed on simple mathematical models. Karpenko et al [1][2][3] found a positive correlation between analytical, numerical and experimental bifurcation diagrams of a Jeffcott rotor with a preloaded snubber ring. Gonsalves et al [4] developed a model of discontinuous Jeffcott rotor subjected to mass-unbalance forces.…”

Section: Introductionmentioning

confidence: 96%

See 1 more Smart Citation

Nonlinear vibrations of a misaligned bladed Jeffcott rotor

Thiery

Aidanpää

2016

Nonlinear Dyn

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This paper describes the numerical and experimental investigation of the nonlinear vibration of a bladed Jeffcott rotor. The nonlinearity in the system is due to discontinuities caused by multiple contacts with an outer ring as well as the nonlinear deformation of the massless blades. Contacts occur since the rotor shaft is initially misaligned by displacing the outer ring in one direction. The aim of the paper is to develop a simple model of bladed rotor and verify whether the global dynamics of the numerical simulations can be observed experimentally. The experimental rig and data acquisition are presented in detail together with the experimental procedures. The results between the numerical simulation and experiments are compared in terms of bifurcation diagrams and waterfall plots. An overall correlation is observed between the numerical and experimental study in the case of stiff blades, with differences mainly in localized frequency ranges due to parameter variation.

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Section: Simulation Methods and General Resultsmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 96%

Nonlinear vibrations of a misaligned bladed Jeffcott rotor

Thiery

Aidanpää

2016

Nonlinear Dyn

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“…The tool is represented by an equivalent two-degree-of-freedom spring-mass-damper system, and the workpiece is assumed to be rigid, and the effect of the bearing clearance is modelled using the discontinuous stiffness model which has been discussed in [20] and [22]. The 2-DOF oscillator with bearing clearance is excited by the cutting force, and the governing equation can be written in the following equation.…”

Section: Model Of Milling Processmentioning

confidence: 99%

“…However, sometimes the nice structure of the chatter frequencies can be influenced or destroyed by several other effects in practice, for example the runout [16]~ [18] where the geometric axis of the milling cutter differs from the rotation axis. The bearing clearance is a common fault for the machines, which can lead the machine to complex nonlinear behaviours like quasiperiod motion and chaotic motion [19]- [22]. The appearance of bearing clearance fault could considerably deteriorate the performance of machines, and therefore it is of significance to investigate the effects of the bearing clearance to the cutting process and to inspect the spectra structures of the vibration signals in order to accumulate information for the machine condition assessment purpose and also for identifying the machine tool chatter under the bearing clearance case.…”

Section: Introductionmentioning

confidence: 99%

Effects of bearing clearance on the chatter stability of milling process

Peng

Jackson

Guo

et al. 2010

Nonlinear Analysis: Real World Applications

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Abstract:In the present study, the influences of the bearing clearance, which is a common fault for machines, to the chatter stability of milling process are examined by using numerical simulation method. The results reveal that the presence of bearing clearance could make the milling process easier to enter the status of chatter instability and can shift the chatter frequency. In addition, the spectra analysis to vibration signals obtained under the instable milling processes show that the presence of bearing clearance could introduce more frequency components to the vibration responses but, however, under both the stable and instable milling processes, the generated frequency components will not violate the ideal spectra structures of the vibration responses of the milling process, which are usually characterized by the tooth passing frequency and its associated higher harmonics for the stable milling process and by the complex coupling of the tooth passing frequency and the chatter frequency for the instable milling process. This implies that, even under the case with bearing clearance fault, the stability of the milling process can still be determined by viewing the frequency spectra of the vibration responses. Moreover, the phenomena of the chatter frequency shift and the generation of more components provide potential ways to detect the bearing clearance in machines.

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“…that the discontinuous character of the friction force is essential for the chatter generation. Finally, the dynamic responses of a Jeffcott rotor system with bearing clearances will be examined (see Karpenko et al, 2002a andPavlovskaia et al, 2004). …”

Section: Introductionmentioning

confidence: 99%