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Nonsmooth Dynamics of Contacting Thermoelastic Bodies Jan Awrejcewicz

Nonsmooth Dynamics of Contacting Thermoelastic Bodies By Jan Awrejcewicz

Nonsmooth Dynamics of Contacting Thermoelastic Bodies by Jan Awrejcewicz

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Summary

This work is devoted to an intensive study in contact mechanics, treating the nonsmooth dynamics of contacting bodies.

Nonsmooth Dynamics of Contacting Thermoelastic Bodies Summary

Nonsmooth Dynamics of Contacting Thermoelastic Bodies by Jan Awrejcewicz

This work is devoted to an intensive study in contact mechanics, treating the nonsmooth dynamics of contacting bodies. Mathematical modeling is illustrated and discussed in numerous examples of engineering objects working in different kinematic and dynamic environments.

Topics covered in five self-contained chapters examine non-steady dynamic phenomena which are determined by key factors: i.e., heat conduction, thermal stresses, and the amount of wearing. New to this monograph is the importance of the inertia factor, which is considered on par with thermal stresses.

Nonsmooth Dynamics of Contacting Thermoelastic Bodies is an engaging accessible practical reference for engineers (civil, mechanical, industrial) and researchers in theoretical and applied mechanics, applied mathematics, physicists, and graduate students.

Nonsmooth Dynamics of Contacting Thermoelastic Bodies Reviews

From the reviews:

This monograph is devoted to methods of analysis and models of contacting systems dynamics, including heat generation and wears exhibited by such systems. ... The monograph is generally well written and well organized. Strength of the book is the quantity and variety of example nonlinear system considered. This book is accessible to readers with a fundamental knowledge of ordinary and partial differential equations and linear theory of thermoelasticity. The book can be highly recommended for experts in the theory of elasticity. (Igor Andrianov, Zentrablatt MATH, Vol. 1153, 2009)

In this very interesting book, models of frictional contact between solids including dynamics, heat generation and wear are presented and methods of solution are analyzed. This book is written in a very clear and very precise way, the bibliography is exhaustive and examples are numerous. (Frederic Charles Lebon, Mathematical Reviews, Issue 2010 a)

This monograph is written as a reference for graduate students and practicing engineers. The aim is to define the dynamics of bodies in contact, the thermal field, the tensor of quasi-static stresses, displacements, and wear amount. Both one- and two-dimensional problems are considered. (IEEE Control Systems Magazine, Vol. 30, April, 2010)

About Jan Awrejcewicz

Dr. Jan Awrejcewicz is the Chairperson for Science of the Faculty of Mechanical Engineering of the Technical University of Lodz, Poland. He has authored or coauthored over 410 publications in scientific journals and conference proceedings, 28 monographs, 2 textbooks, 2 edited volumes, 9 conferences proceedings, 8 journal special issues, and 145 other books, commentaries, or unpublished reports. He has also delivered 80 lectures during international conferences and gave 32 invited seminars at renowned universities worldwide. He is a contributer to 45 different journals and to 100 conferences. His papers and research cover various disciplines of mechanics, biomechanics, mathematics, physics and computer oriented sciences. He has authored and coauthered several books previously published by Springer.

Dr. Yuriy Pyryev is an Assistant Professor at the Technical University of Lodz, Poland. He is a member of the Committee of Fracture Mechanics of Ukraine, and a member of the Dynamical System of the Committee of Mechanics of PAS. He has authored or coauthored 4 monographs, 60 journal papers and chapters in books, 29 proceedings from international or national conferences, and 31 brief communications and reports. His research includes coupled thermodynamics, nonlinear contact problems, and nonlinear mechanics.

Table of Contents

Preface.-Nomenclature. 1.- Introduction. 1.1.- Object of the Study. 1.2.- Aim and Scope. 2.- Thermoelastic Contact of Shaft and Bush in Wear Regime. 2.1- Analyzed System. 2.2- Mathematical Formulation of the Problem. 2.3- Kinematic External Shaft Excitations. 2.4- External Shaft Mechanical Excitations. 2.5- Dynamics of Contacting Bodies with Impacts. 2.6- Stick-slip Vibrations Friction Model. 3.- Thermoelastic Contact of Parallelepiped Moving Along Walls. 3.1- Kinematically Driven Parallelepiped Rigid Plate. 3.2- Rigid Plate Dynamics Subject to Temperature Perturbation. 3.3- Dynamics of a Two-Degrees-of-Freeom System with Friction and Heat Generation. 3.4- Tribological Dynamical of Vibrations with Thermoelastic Contact. 4.- Contact Characteristics During Braking Process. 4.1- Contact Characteristics of Three-Layer Brake Models. 4.2- Computation of the Contact Characteristics of the Two-Layer Brake model. 4.3- Computation of the Contact Characteristics of the Two Semi-Space Brake Models. 5.- Thermoelastic Contact of Two Moving Layers with Friction and Wear. 5.1- Analyzed System. 5.2- Laplace Transformation. 5.3- Algorithm Transformation. 5.4-Solution Analysis. 5.5- Frictional Thermoelastic Instability. -Bibliography.-Index.

Additional information

NLS9781441918802
9781441918802
1441918809
Nonsmooth Dynamics of Contacting Thermoelastic Bodies by Jan Awrejcewicz
Jan Awrejcewicz
Advances in Mechanics and Mathematics
New
Paperback
Springer-Verlag New York Inc.
2010-11-25
242
N/A
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