Finite Journal Bearing With Nonlinear Stiffness and Damping. Part 2: Stability Analysis

Hashish, E.; Sankar, T. S.; Osman, M. O. M.

doi:10.1115/1.3256358

Cited by 3 publications

(2 citation statements)

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“…The elastohydrodynamic (EHD) lubrication approach was constructed to simulate the elastic deformation of the shaft and the bearing under external load, which made up for the limitation of the hydrodynamic lubrication theory. 7 In recent years, these theoretical calculation methods have been widely applied for the evaluation of the journal bearing lubrication performance. Cheng et al 8 compared the lubrication characteristics of crankshaft main bearings with different materials and structures by the EHD model.…”

Section: Introductionmentioning

confidence: 99%

Mixed thermo-elasto-hydrodynamic lubrication and wear coupling simulation analysis for dynamical load journal bearings

Ding

Yan²,

Ma³

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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In the crankshaft-connecting rod system of the diesel engine, the complicated lubrication and wear mechanisms of journal bearings are comprehensively affected by the elastic deformation effect, the asperity contact effect, the thermal effect as well as the lubricating oil viscosity-temperature effect. This paper proposes an adaptive iterative method based on a mixed thermo-elasto-hydrodynamic (TEHD) lubrication and wear coupling model to investigate the lubrication and wear behaviors of journal bearings in the mixed lubrication. The evolution laws of the oil film thickness, the hydrodynamic pressure, the asperity contact pressure, the friction power loss, and the wear distribution are discussed and compared under different running times, oil temperatures, external loads, and shaft rotational speeds. The three-dimensional surface models based on the asperity contact power loss and the maximum wear depth with the variation of the running time and the oil temperature are fitted under specific external loads and shaft rotational speeds. The simulation results demonstrate that the bearing wear process includes the initial wear stage and the stable wear stage, which has a significant influence on the changing trend and distribution of lubricating parameters. The three-dimensional surface fitting models can provide theoretical guidance for the future performance prediction of journal bearings under time-varying working conditions.

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Section: Introductionmentioning

confidence: 99%

Mixed thermo-elasto-hydrodynamic lubrication and wear coupling simulation analysis for dynamical load journal bearings

Ding

Yan²,

Ma³

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…The stability of non-linear bearing system, solving numerically the equations of motion, is presented by Hashish, Sankar and Osman [10). Some orbits with different initial conditions are plotted and stability diagrams are also presented.…”

Section: Introductionmentioning

confidence: 99%

Lyapunov’s Stability of Non-Linear Misaligned Journal Bearings

Nikoiakopouios

Papadopouios

1994

Volume 5: Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation;

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In this paper the stability of non-linear misaligned rotor-bearing systems is investigated, using the Lyapunov direct method. A finite element formulation is used to determine the journal bearing pressure distribution. Then the linear and nonlinear stiffness, damping and hybrid (depended on both displacements and velocity) coefficients are calculated A general method of analysis based on Lyapunov’s stability criteria is used to investigate the stability of non-linear misaligned rotor bearing systems. The equations of motion of the rigid rotor on the non-linear bearings are used to find a Lyapunov function using some of the above coefficients, which are depending on L/D ratio and the misalignment angles ψa, ψr. The analytical conditions for the stability or instability of some examined cases are given and some examples for the orbital stability are also demonstrated.

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Lyapunov’s Stability of Nonlinear Misaligned Journal Bearings

Nikolakopoulos

Papadopoulos

1995

Journal of Engineering for Gas Turbines and Power

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In this paper the stability of nonlinear misaligned rotor-bearing systems is investigated, using the Lyapunov direct method. A finite element formulation is used to determine the journal bearing pressure distribution. Then the linear and nonlinear stiffness, damping, and hybrid (depending on both displacement and velocity) coefficients are calculated. A general method of analysis based on Lyapunov’s stability criteria is used to investigate the stability of nonlinear misaligned rotor bearing systems. The equations of motion of the rigid rotor on the nonlinear bearings are used to find a Lyapunov function using some of these coefficients, which depend on L/D ratio and the misalignment angles ψx, ψy. The analytical conditions for the stability or instability of some examined cases are given and some examples for the orbital stability are also demonstrated.

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Finite Journal Bearing With Nonlinear Stiffness and Damping. Part 2: Stability Analysis

Cited by 3 publications

References 0 publications

Mixed thermo-elasto-hydrodynamic lubrication and wear coupling simulation analysis for dynamical load journal bearings

Mixed thermo-elasto-hydrodynamic lubrication and wear coupling simulation analysis for dynamical load journal bearings

Lyapunov’s Stability of Non-Linear Misaligned Journal Bearings

Lyapunov’s Stability of Nonlinear Misaligned Journal Bearings

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