Hydrodynamic bearings

Hydrodynamic bearings /

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Bibliographic Details
Main Authors: Bonneau, Dominique (Author), Fatu, Aurelian (Author), Souchet, Dominique (Author)
Corporate Author: Ebooks Corporation
Format: Electronic eBook
Language:English
Published: London : ISTE, 2014.
Series:Numerical methods in engineering series.
Subjects:
Fluid-film bearings > Mathematical models.
Lubrication and lubricants.
Bearings (Machinery)
Online Access:Connect to this title online (unlimited simultaneous users allowed; 325 uses per year)
Table of Contents:
  • Machine generated contents note: ch. 1 Lubricant
  • 1.1. Description of lubricants
  • 1.2. viscosity
  • 1.2.1. Viscosity
  • temperature relationship
  • 1.2.2. Viscosity
  • pressure relationship
  • 1.2.3. Viscosity
  • pressure
  • temperature relationship
  • 1.2.4. Non-Newtonian behavior
  • 1.3. Other lubricant properties
  • 1.4. Lubricant classification and notation
  • 1.5. Bibliography
  • ch. 2 Equations of Hydrodynamic Lubrication
  • 2.1. Hypothesis
  • 2.2. Equation of generalized viscous thin films
  • 2.3. Equations of hydrodynamic for journal and thrust bearings
  • 2.3.1. Specific case of an uncompressible fluid
  • 2.3.2. Standard Reynolds equation for a journal bearing: general case
  • 2.3.3. Reynolds equation for a thrust bearing: general case
  • 2.3.4. Equation of volume flow rate
  • 2.3.5. Equations of hydrodynamic for journal and thrust bearings lubricated with an isoviscous uncompressible fluid
  • 2.4. Film rupture; second form of Reynolds equation
  • 2.5. Particular form of the viscous thin film equation in the case of wall slipping
  • 2.6. Boundary conditions; lubricant supply
  • 2.6.1. Conditions on bearing edges
  • 2.6.2. Conditions for circular continuity
  • 2.6.3. Conditions on non-active zone boundaries
  • 2.6.4. Boundary conditions for supply orifices
  • 2.7. Flow rate computation
  • 2.7.1. First assumptions
  • 2.7.2. Model and additional assumptions
  • 2.7.3. Pressure expression for the full film fringes on the bearing edges
  • 2.7.4. Evolution of the width of the full film fringes on the bearing edges
  • 2.7.5. Computation of the flow rate for lubricant entering by the bearing sides
  • 2.8. Computation of efforts exerted by the pressure field and the shear stress field: journal bearing case
  • 2.9. Computation of efforts exerted by the pressure field and the shear stress field: thrust bearing case
  • 2.10. Computation of viscous dissipation energy: journal bearing case
  • 2.11. Computation of viscous dissipation energy: thrust bearing case
  • 2.12. Different flow regimes
  • 2.13. Bibliography
  • ch. 3 Numerical Resolution of the Reynolds Equation
  • 3.1. Definition of the problems to be solved
  • 3.1.1. Problem 1: determining the pressure
  • 3.1.2. Problem 2: determining of the pressure and the lubricant filling
  • 3.1.3. Other problems
  • 3.2. finite difference method
  • 3.2.1. Computation grid
  • 3.2.2. Discretization of standard Reynolds equation (problem 1)
  • 3.2.3. Discretization of modified Reynolds equation (problem 2)
  • 3.3. finite volume method
  • 3.3.1. Mesh of the film domain
  • 3.3.2. Discretization of the standard Reynolds equation (problem 1)
  • 3.3.3. Discretization of modified Reynolds equation (problem 2)
  • 3.4. finite element method
  • 3.4.1. Integral formulation of standard Reynolds equation
  • 3.4.2. Integral formulation of modified Reynolds equation
  • 3.4.3. Approximation of integral formulations: method of Galerkin weighted residuals
  • 3.4.4. Approximation of problem 1*
  • 3.4.5. Approximation of problem 2*
  • 3.5. Discretizations of time derivatives
  • 3.5.1. Discretization by finite differences
  • 3.5.2. Discretization by time finite elements
  • 3.5.3. Adaptation of discretized expressions for equations to be solved
  • 3.6. Comparative analysis of the different methods
  • 3.6.1. Definition of reference problems
  • 3.6.2. First numerical tests
  • 3.6.3. Comparisons between the three discretization methods for a static case
  • 3.6.4. Comparisons between linear and quadratic discretizations for the finite element method applied to the standard Reynolds equation
  • 3.6.5. Comparisons between the different discretizations of time derivatives for the modified Reynolds equation
  • 3.6.6. Aptitude of the various discretizations of time derivatives to follow sudden load change
  • 3.6.7. Case of a bearing under a dynamic load rotating with a frequency equal to half of the shaft frequency
  • 3.7. Accounting of film thickness discontinuities
  • 3.8. Numerical algorithm for computing bearing axial flow rate
  • 3.8.1. Pressure gradient computing in the case of a finite element discretization
  • 3.8.2. Computation of axial flow rate
  • 3.8.3. Algorithm for computing the axial flow rate
  • 3.8.4. Example
  • 3.9. Bibliography
  • ch. 4 Elastohydrodynamic Lubrication
  • 4.1. Bearings with elastic structure
  • 4.1.1. Thickness of the lubricant film
  • 4.1.2. Film domain discretization
  • 4.2. Elasticity accounting: compliance matrices
  • 4.2.1. Surface forces due to pressure
  • 4.2.2. Volume forces due to inertia effects
  • 4.3. Accounting of shaft elasticity
  • 4.4. Particular case of non-conformal meshes
  • 4.5. Bibliography.

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