Zur hydrodynamischen Theorie der Schmiermittelreibung

Philipzik, W.

doi:10.1002/zamm.19560360104

Cited by 27 publications

(7 citation statements)

References 4 publications

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“…The strong nonlinearity of fluid film forces affects the dynamic characteristics of the rotor system significantly. As reported by Philipzik, 14 Sommerfeld deduced classical analytical expressions for the hydrodynamic bearing force based on a short bearing assumption. Capone subsequently improved this expression.…”

Section: Introductionmentioning

confidence: 91%

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Dynamics response of an on-board rotor supported on modified oil-film force considering base motion

Liu

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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In an on-board rotor journal bearing system, hydrodynamic bearing forces are affected by the coupling motion between rotor and base. To study the system dynamic response, a model of the on-board rotor supported on hydrodynamic bearing force is proposed in this paper. Motion equations of rigid disk and elastic shaft are derived by applying the Lagrange principle and finite element method. Based on the short bearing assumption and Hahn boundary condition, a modified oil-film force model of the hydrodynamic bearing is derived by introducing the base motion velocity. Under sinusoidal excitations of the base translational motion, dynamic responses of the on-board rotor bearing system are calculated by a Newmark time-step integration algorithm. Results are presented by time history, fast Fourier transforms, orbits and Poincare maps, and are compared with the response dominated by Capone's oil-film force model. The influences of amplitude and frequency of base motion on system dynamic behavior are investigated. Differences after introducing base motion velocity into the oil-film force model show that the convective velocity of the bearings should not be ignored in some extreme cases.

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Section: Introductionmentioning

confidence: 91%

“…Rotor-hydrodynamic bearing system configuration. Substituting equations (14) and (16) into equation (12), the Reynolds equation considering bearing velocity can be written as…”

Section: Bearing Forcesmentioning

confidence: 99%

Dynamics response of an on-board rotor supported on modified oil-film force considering base motion

Liu

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…where, ψ, θ and φ are the orientation angles of the coordinate system linked to the disc with respect to the fixed coordinate system (see Figure 3). The calculation of inertias and masses is detailed in the reference [20]. The expression of kinetic energy can be simplified.…”

Section: Energy Termsmentioning

confidence: 99%

Optimizing the Positions of Discs in Order to Obtain High Stability and Minimum Response in a Multi Disc Rotor

Mostefa¹,

Refassi²,

Mimoun³

et al. 2021

JESA

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“…Reynolds 4 used the brief forms of Navier–Stokes and continuity equations to obtain a second-order differential equation for the pressure distribution of lubrication film. Sommerfeld 5 was the first to introduce a series of dimensionless numbers relevant to bearings, among which the Sommerfeld number stands out as particularly important. Solving the lubrication equation is a complex problem that has captured the interest of numerous researchers.…”

Section: Introductionmentioning

confidence: 99%

An analytical study on nonlinear viscoelastic lubrication in journal bearings

Abbaspur,

Norouzi,

Akbarzadeh

et al. 2023

Sci Rep

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This paper presents a novel analytical solution for journal-bearing viscoelastic lubrication using the perturbation method. The nonlinear Giesekus model was used for the constitutive equations to study the effects of fluid elasticity, shear-thinning viscometric functions, and strain-hardening elongational viscosity of viscoelastic lubrication. The investigation focuses on the impact of characteristic parameters such as mobility factor, eccentricity ratio, and Weissenberg number on the fluid film pressure distribution, load capacity, and shear stress. Although distinguishing between the normal stress differences and extensional viscosity in mixed viscoelastic flows is complicated, we investigated the role and contribution of these two factors. By increasing the elasticity of the fluid, the portion of both mentioned parameters increases consequently. Furthermore, analyses and comparisons show the contributions of the first normal stress and elongational viscosity to the load capacity of the bearing through the stress ratio and flow type parameter for the first time. The research findings indicate that fluid elasticity enhances the load capacity of the bearing compared to a Newtonian lubricant with the same effective viscosity. Moreover, the bearing load capacity is divided into two regions. In the linear region, the mobility factor and Weissenberg numbers have minimal effects leading to a linear increase in the load distribution, and in the exponential region, the load capacity changes are considerable. This research provides valuable insights into the behavior of viscoelastic lubrication in journal-bearing systems.

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Zur hydrodynamischen Theorie der Schmiermittelreibung

Cited by 27 publications

References 4 publications

Dynamics response of an on-board rotor supported on modified oil-film force considering base motion

Dynamics response of an on-board rotor supported on modified oil-film force considering base motion

Optimizing the Positions of Discs in Order to Obtain High Stability and Minimum Response in a Multi Disc Rotor

An analytical study on nonlinear viscoelastic lubrication in journal bearings

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