Non-linear dynamic analysis of a flexible rotor supported on porous oil journal bearings

Laha, S.K.; Kakoty, Sashindra Kumar

doi:10.1016/j.cnsns.2010.06.004

Cited by 16 publications

(6 citation statements)

References 17 publications

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“…The nonlinear forces (24) are substituted into (10) and (30) are used. Then the rotor nonlinear dynamics are described by the following equations of motions in matrix form:…”

Section: Problem Formulation and The Equations Of Motionsmentioning

confidence: 99%

“…Chang-Jian and Chen [29] are carried out the analysis of the rotor-bearing system under the assumptions of turbulent lubricant flow. Laha and Kakoty [30] are used finite element method to perform the nonlinear analysis of rotor with a rigid disk mounted on journal bearing at two ends. The elastic impact and the Coulomb type of frictional relationship are assumed for vibration analysis of a rub-impact rotor supported on the oil film bearing in the paper [31].…”

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confidence: 99%

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Nonlinear dynamics of one disk asymmetrical rotor supported by two journal bearings

Аврамов

Borysiuk

2011

Nonlinear Dyn

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Asymmetrical one disk rotor interacting with fluid films of short journal bearings is considered. Gyroscopic moments acting on a disk are taken into account. The forces of the journal bearing fluid film are derived analytically. The system of four nonlinear ordinary differential equations is obtained to study the rotor vibrations. The origination of self-sustained vibrations of rotor is studied by means of Shaw-Pierre nonlinear modes. The harmonic balance method is applied to study the self-sustained vibrations with large amplitudes.

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“…The nonlinear forces (24) are substituted into (10) and (30) are used. Then the rotor nonlinear dynamics are described by the following equations of motions in matrix form:…”

Section: Problem Formulation and The Equations Of Motionsmentioning

confidence: 99%

mentioning

confidence: 99%

Nonlinear dynamics of one disk asymmetrical rotor supported by two journal bearings

Аврамов

Borysiuk

2011

Nonlinear Dyn

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“…In Equation (20), * , * , / are the Cartesian instantaneous co-ordinates of the journal centre and the parameter ∁ represents the compliance factor of the elastic bearing-liner which is defined as …”

Section: Modified Transient Nonlinear Piezo-viscous Reynolds' Equatiomentioning

confidence: 99%

“…In 1924, Newkirk and Taylor [1] first demonstrated that the oil whirl is caused by the dynamic oil film forces in the bearings. Since then, a number of researchers have focused their theoretical and experimental studies on the stability, bifurcation, and chaos of rotor-bearing systems, and a significant progress in rotor-dynamics field has been made [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Response of an Unbalanced Flexible Rotor Supported by Elastic Bearings Lubricated with Piezo-Viscous Polar Fluids

Lahmar

Bou‐Saïd

2015

Lubricants

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Abstract:On the basis of the V. K. Stokes micro-continuum theory, the effects of couple stresses on the nonlinear dynamic response of the unbalanced Jeffcott's flexible rotor supported by layered hydrodynamic journal bearings is presented in this paper. A nonlinear transient modified Reynolds' equation is derived and discretized by the finite element method to obtain the fluid-film pressure field as well as the film thickness by means of the implicit Euler method. The nonlinear orbits of the rotor center are determined by solving the nonlinear differential equations of motion with the explicit Euler's scheme taking into account the flexibility of rotor. According to the obtained results, the combined effects of couple stresses due to the presence of polymer additives in lubricant and the pressure dependent viscosity on the nonlinear dynamic response of the rotor-bearing system are significant and cannot be ignored or overlooked. As expected, these effects are more noticeable for polymers characterized by higher length molecular chains.

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“…Other than calculate those linearized equivalent coefficients after solving the pressure file, some publications focused on the nonlinear dynamic behavior of bearings and squeeze film dampers [89,90]. Laha et al [91] showed the nonlinear dynamic analysis of a Jeffcott rotor under unbalance excitation. The rotor mounted on two porous oil journal bearings at the two ends.…”

Section: Nonlinear Modeling and Nonlinear Forces Calculationmentioning

confidence: 99%

Transient Analysis of Flexible Rotors with Nonlinear Bearings, Dampers and External Forces

Cao

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General rotor-bearing systems often display nonlinear behavior due to hydrodynamic effects and external nonlinear forces. Linear methods based on finite element methods are the most common methods for performing rotor dynamic analyses. Nonlinear bearing/damping forces are often linearized into equivalent stiffness and damping coefficients. This method often works well for weakly nonlinear systems, but has limits for strongly nonlinear systems. To more accurately describe rotor behavior, transient analysis and nonlinear models are often used. Analytical solutions for Jeffcott rotors with I would also like to thank my committee, Prof. Zongli Lin, Prof. Kent Richard, Prof. John Thacker and Prof. Costin Untaroiu, for their support, input and encouragement on the work of my research. I would also like to thank Prof. Pradip N. Sheth, who encouraged me to join the graduate program. It was pleasure learning and working with him.

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Non-linear dynamic analysis of a flexible rotor supported on porous oil journal bearings

Cited by 16 publications

References 17 publications

Nonlinear dynamics of one disk asymmetrical rotor supported by two journal bearings

Nonlinear dynamics of one disk asymmetrical rotor supported by two journal bearings

Nonlinear Dynamic Response of an Unbalanced Flexible Rotor Supported by Elastic Bearings Lubricated with Piezo-Viscous Polar Fluids

Transient Analysis of Flexible Rotors with Nonlinear Bearings, Dampers and External Forces

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