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Elastohydrodynamic Lubrication for Line and Point Contacts:
Asymptotic and Numerical Approaches describes a coherent asymptotic
approach to the analysis of lubrication problems for heavily loaded
line and point contacts. This approach leads to unified asymptotic
equations for line and point contacts as well as stable numerical
algorithms for the solution of these elastohydrodynamic lubrication
(EHL) problems. A Unique Approach to Analyzing Lubrication Problems
for Heavily Loaded Line and Point Contacts The book presents a
robust combination of asymptotic and numerical techniques to solve
EHL problems for lightly and heavily loaded line and point
contacts. It also proposes a reasonably simple and naturally based
regularization approach that produces stable solutions in heavily
loaded EHL contacts. The book offers a clear understanding of the
processes taking place in heavily loaded line and point EHL
contacts as well as of the proper solution structure for EHL
problems. It outlines concrete ways to determine important design
parameters such as lubrication film thickness and frictional
stresses and forces. The book establishes a close link between EHL
problems for heavily loaded point and line contacts. Fine Tune Your
Methods for Solving Elastohydrodynamic Lubrication Problems In most
cases, the equations in the book are derived from first principles.
The author describes each of the asymptotic and numerical methods
in detail, making it easier for readers to apply them to various
problems. The problem solutions are presented in the form of simple
analytical formulas, graphs, and tables. Almost all the chapters
include exercises that highlight key points and skills. Suitable
for engineering and applied mathematics students, this is also a
unique resource for researchers and practitioners who want to fine
tune their solution methods and design better numerical methods to
tackle elastohydrodynamic lubrication problems.
Elastohydrodynamic Lubrication for Line and Point Contacts:
Asymptotic and Numerical Approaches describes a coherent asymptotic
approach to the analysis of lubrication problems for heavily loaded
line and point contacts. This approach leads to unified asymptotic
equations for line and point contacts as well as stable numerical
algorithms for the solution of these elastohydrodynamic lubrication
(EHL) problems. A Unique Approach to Analyzing Lubrication Problems
for Heavily Loaded Line and Point Contacts The book presents a
robust combination of asymptotic and numerical techniques to solve
EHL problems for lightly and heavily loaded line and point
contacts. It also proposes a reasonably simple and naturally based
regularization approach that produces stable solutions in heavily
loaded EHL contacts. The book offers a clear understanding of the
processes taking place in heavily loaded line and point EHL
contacts as well as of the proper solution structure for EHL
problems. It outlines concrete ways to determine important design
parameters such as lubrication film thickness and frictional
stresses and forces. The book establishes a close link between EHL
problems for heavily loaded point and line contacts. Fine Tune Your
Methods for Solving Elastohydrodynamic Lubrication Problems In most
cases, the equations in the book are derived from first principles.
The author describes each of the asymptotic and numerical methods
in detail, making it easier for readers to apply them to various
problems. The problem solutions are presented in the form of simple
analytical formulas, graphs, and tables. Almost all the chapters
include exercises that highlight key points and skills. Suitable
for engineering and applied mathematics students, this is also a
unique resource for researchers and practitioners who want to fine
tune their solution methods and design better numerical methods to
tackle elastohydrodynamic lubrication problems.
Improving our understanding of friction, lubrication, and fatigue,
Modeling and Analytical Methods in Tribology presents a fresh
approach to tribology that links advances in applied mathematics
with fundamental problems in tribology related to contact
elasticity, fracture mechanics, and fluid film lubrication. The
authors incorporate the classical tenets of tribology while
providing new mathematical solutions that address various
shortcomings in existing theories. From contact interactions to
contact fatigue life, the book connects traditionally separate
areas of tribology research to create a coherent modeling
methodology that encompasses asymptotic and numerical techniques.
The authors often demonstrate the efficacy of the models by
comparing predictions to experimental data. In most cases, they
derive equations from first principles. They also rigorously prove
problem formulations and derive certain solution properties.
Solutions to problems are presented using simple analytical
formulas, graphs, and tables. In addition, the end-of-chapter
exercises highlight points important for comprehending the material
and mastering the appropriate skills. Unlocking the secrets that
govern the physics of lubricated and dry contacts, this book helps
tribologists on their quest to reduce friction, minimize wear, and
extend the operating life of mechanical equipment. It provides a
real-world industrial perspective so that readers can attain a
practical understanding of the material.
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