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Computational tapered and cylinder roller bearings

Author: Hung Nguyen-Schäfer
Publisher: Cham, Switzerland : Springer, [2019] ©2019
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This monograph presents computational models that describe electro-mechanical characteristics of tapered and cylinder roller bearings in various industrial applications. Applying the Levenberg-Marquardt's algorithm to solving strongly nonlinear coupled equation systems, the computational models consisting of many circular slices per rolling element enable computations of the local Hertzian pressures at the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Nguyen-Schäfer, Hung.
Computational tapered and cylinder roller bearings.
Cham, Switzerland : Springer, [2019]
(OCoLC)1061820074
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hung Nguyen-Schäfer
ISBN: 9783030054441 3030054446
OCLC Number: 1082541552
Description: 1 online resource : illustrations
Contents: Intro; Preface; Contents; About the Author; 1 Tapered Roller Bearings; 1.1 Components of Tapered Roller Bearings; 1.2 Geometry of Tapered Roller Bearings; 1.3 Setup of Bearings in X and O Arrangement; 1.4 Computational Model of Tapered Roller Bearings; 1.5 Computing Minimum Load and Preload on TRB; 1.6 Computing Centrifugal Force of Rolling Elements; 1.7 Computing Hertzian Pressures at the Contact Zones; 1.8 Computing Oil Film Thickness in TRB; 1.8.1 Oil-Film Thicknesses in the Contact Area; 1.8.2 Computing the Oil-Film Thicknesses in Roller Bearings; 1.9 Computing Bearing Friction in TRB 1.10 Computing Lifetime of TRB1.11 Computing Bearing Stiffness of TRB; 1.12 An Example for Computational TRB; References; 2 Cylinder Roller Bearings; 2.1 Geometry of Cylinder Roller Bearings; 2.2 Setup of Cylinder Roller Bearings; 2.3 Computational Model of Cylinder Roller Bearings; 2.4 Computing Hertzian Pressures at the Contact Zones; 2.5 Computing Oil Film Thickness in CRB; 2.6 Computing Bearing Friction in CRB; 2.7 Computing Lifetime of CRB; 2.8 Computing Bearing Stiffness of CRB; 2.9 An Example for Computational CRB; References; 3 Loads Acting on Gears and Bearings 3.1 Calculating Loads Acting on Gears3.2 Calculating Loads Acting on Bearings; References; 4 Bearing Endplay Over Operating Temperatures; 4.1 Calculating the Axial Endplay; 4.2 Computational Examples; References; 5 Accelerated Load Spectrum; 5.1 Calculating the Damage Number; 5.2 Calculating the Accelerated Load Spectrum; 5.3 An Example for an Accelerated Load Spectrum; References; 6 Solving Nonlinear Equation Systems; 6.1 Fundamental of Nonlinear Equation Systems; 6.2 NL Equation Systems with Gauss-Newton Algorithm; 6.3 NL Equation Systems with Levenberg-Marquardt Algorithm 6.4 Solving NL Equation Systems with MATLABReferences; Appendix A: Calculating the System Lifetime; Appendix B: Linear Regression Analysis; Appendix C: Cluster-Weighting Modelling (CWM); Index
Responsibility: Hung Nguyen-Schäfer.

Abstract:

This monograph presents computational models that describe electro-mechanical characteristics of tapered and cylinder roller bearings in various industrial applications. Applying the Levenberg-Marquardt's algorithm to solving strongly nonlinear coupled equation systems, the computational models consisting of many circular slices per rolling element enable computations of the local Hertzian pressures at the elastohydrodynamic (EHD) contact area, the relating oil-film thickness in elastohydrodynamic lubrication (EHL), the limiting voltage of electro-pitting, bearing frictions, and fatigue lifetimes of the bearings for various load spectra. Using the best-known machine-learning method for clustering, the load spectrum is clustered in k cluster means based on the invariant damage number to accelerate the load spectrum. Furthermore, the accelerated load spectrum is used for the testing procedure of the bearings to reduce the testing time and costs as well. The target audience of this book primarily comprises graduate students in mechanical engineering and practicing engineers of electro-machines and transmission systems who want to computationally design tapered and cylinder roller bearings for the automotive industry and other industries, and to deeply dive into these relating working fields.

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