Nonlinear dynamic analysis of a high-speed rotor supported by rolling element bearings

Harsha, S. P.

doi:10.1016/j.jsv.2005.03.008

Cited by 105 publications

(53 citation statements)

References 17 publications

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“…Although the Hertzian contact theory has been used as one of the main methods in ball bearing analysis, the assumptions of simplification ignore the lubrication effects of the oil film between the balls and races on the dynamic characteristics of ball bearing (Harsha, 2006). Furthermore, considering the Reynolds lubrication theory and Hertzian contact theory comprehensively, the EHL becomes a normal condition in the ball-race contact pair (Rahnejat and Gohar, 1985).…”

Section: Fig 3 Schematic Diagram Of the Gear Couplingmentioning

confidence: 99%

“…Hagiu and Gafitanu (1997),of a rotor-bearing system by considering the Hertzian contact forces between the rolling elements and races as the sources of nonlinearity. Harsha (2006) and Sinou (2009) ignored the effect of the lubricating oil, and could well simulate the load of the ball bearing using the Hertzian contact theory. While taking into account the oil film, the Hertzian contact alone is not able to describe the nonlinear supporting force comprehensively.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic characteristics analysis of a misaligned rotor-bearing system with squeeze film dampers

Zhang

Lin

et al. 2016

J. Zhejiang Univ. Sci. A

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Abstract:In this paper, a dynamic model is established for a two-stage rotor system connected by a gear coupling and supported on ball bearings with squeeze film dampers (SFDs). The nonlinear dynamic behavior of the rotor system is studied under misalignment fault condition. The meshing force of the gear coupling is calculated considering the deformation of the tooth caused by torque transmission and dynamic vibration. The contact force between the ball and race is computed based on the Hertzian elastic contact deformation theory and the elastohydrodynamic lubrication theory. The supported force of SFD is simulated by integrating the pressure distribution derived from Reynolds's equation. The equations of motion are rewritten in nondimensional differential form, and the fourth-order Runge-Kutta method is employed to solve the nonlinear dynamic equilibrium equations iteratively. To verify the validity of the dynamic model and the correctness of the numerical solution method, the experimental power spectra of the rotor system under various misalignment degrees are compared with the analytical results. The effects of several important parameters, such as the lubrication of the ball bearing, the centralizing spring stiffness, the radial clearance of SFD, and the misalignment of gear coupling, on the dynamic characteristics of the rotor system are investigated and discussed mainly focusing on the system stability. The response spectra, bifurcation diagrams, and Pointcaré maps are analyzed accordingly. These parametric analyses are very helpful in the development of a high-speed rotor system and provide a theoretical reference for the vibration control and optimal design of rotating machinery.

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Section: Fig 3 Schematic Diagram Of the Gear Couplingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic characteristics analysis of a misaligned rotor-bearing system with squeeze film dampers

Zhang

Lin

et al. 2016

J. Zhejiang Univ. Sci. A

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“…If the node is rolling bearing, because of varying compliance vibration in rolling bearing, nonlinear bearing force acting on the shaft should be considered in the dynamic model, which can be obtained by solving bearing equilibrium equations use Newton-Raphson method [16][17][18]. Assemble mass, damping and nonlinear bearing force matrix are assembled into the integrated corresponding matrixes.…”

Section: Dynamic Model Of Gear-flexible Shaft-bearing System With Faultsmentioning

confidence: 99%

Nonlinear Dynamics Analysis of a Gear-Shaft-Bearing System with Breathing Crack and Tooth Wear Faults

Cui¹

2015

TOMEJ

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Considering backlash, time-varying mesh stiffness and radial clearance of bearing, nonlinear dynamic model of gear bearing flexible shaft system is established taking into account breathing crack in shaft and tooth wear. Nonlinear dynamic equations are solved by Runge-Kutta method. Effect of backlash, crack in shaft and tooth wear faults on the nonlinear dynamic behavior of gear-shaft-bearing system is studied. The results show that gear-shaft-bearing system may change from periodic motion to non-periodic motion as backlash increases, and gear pair change from normal mesh to tooth separation, double-sided impact fault. If crack fault appears, quasi-periodic and chaos motion region increases, and gentle crack fault can result in instantaneous tooth separation and double-sided impact faults. Serious tooth wear fault will also induce tooth separation and double-sided impact faults. If both shaft crack and tooth wear faults exist, tooth wear fault will be intensified by double-sided impact fault from shaft crack, which will result in early failure of the gear system.

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“…But he has considered only nonlinear stiffness. Harsha (2006b) has studied the effects of rotor speed with geometrical imperfections. The results are from a large number of numerical integrations and are mainly presented in the form of Poincaré maps and frequency spectra.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration signature analysis of a rotor supported ball bearings

Yadav¹,

Pandya²,

Harsha³

2017

IJNDC

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Abstract:The dynamic behaviour of a high speed balanced rotor supported on deep groove ball bearings (SKF-6205) has been studied by numerically simulated results. Since, internal radial clearance (IRC) is inevitably present in all class and types of bearing, in this paper it (IRC-C3) is considered as main source of nonlinearity with speed as control parameter. The complex mathematical model simulates nonlinear vibrations due to both nonlinear contact stiffness and damping at the contact of rollers and races. The contact of rollers with races are treated as nonlinear springs with contact damping whose stiffnesses are obtained by using Hertzian elastic contact deformation theory. The explicit type numerical integration technique Runge-Kutta-fourth-order method is used to solve the coupled nonlinear differential equations iteratively. Various techniques like Poincaré maps, orbits plots, and power spectra are used to study the nature of response. At lower speed transient chaos is observed which becomes stable through periodic doubling bifurcation at the medium speed. Hopf bifurcation is also observed at higher speed due to emergence of limit cycle.

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Nonlinear dynamic analysis of a high-speed rotor supported by rolling element bearings

Cited by 105 publications

References 17 publications

Dynamic characteristics analysis of a misaligned rotor-bearing system with squeeze film dampers

Dynamic characteristics analysis of a misaligned rotor-bearing system with squeeze film dampers

Nonlinear Dynamics Analysis of a Gear-Shaft-Bearing System with Breathing Crack and Tooth Wear Faults

Nonlinear vibration signature analysis of a rotor supported ball bearings

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