Nonsmooth Dynamics of Contacting Thermoelastic Bodies (eBook)

Jan Awrejcewicz, Yuriy Pyr'yev (Autoren)

eBook Download: PDF

2008 | 2009
XVIII, 242 Seiten
Springer New York (Verlag)
978-0-387-09653-7 (ISBN)

Infos

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.

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textbooks, 2 edited volumes, 9 conferences proceedings, 8 journal special issues, and 145 other books, commentaries, or unpublished reports.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.

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In this work, methods of analysis and models of contacting systems dynamics, including heat generation and wear exhibited by such systems, are presented. It should be emphasised that the methods and mathematical models of contacting systems exhibited by rigid/elastic bodies and heat/wear processes have been so far applied separately. Tribological processes occurring on a contact surface were not taken into consideration in the analysis of the dynamic rigid or elastic body models. On the other hand, most of the introduced models of bodies in contact that took tribological e?ects into consideration did not allow for their inertia analysis. This study contributes to the development of this ?eld, as the models presented here yield prediction of the behaviour of contacting systems taking into account both mentioned aspects simultaneously. When considered from the mathematical point of view, the method of analysis is reduced to the solution of the system of di?erential equations describing the velocities of contacting bodies and Volterra integral equation modelling contact pressure. The latter equation is obtained with the use of the Laplace integral transform.

Inhalt

Contents 6
Preface 10
Nomenclature 16
Chapter 1 Introduction 19
1.1. Object of the study 19
1.2. Aim and scope 48
Chapter 2 Thermoelastic Contact of Shaft and Bush in Wear Regime 49
2.1. Analysed system 49
2.2. Mathematical formulation of the problem 51
2.3. Kinematic external shaft excitations 59
2.4. External shaft mechanical excitations 99
2.5. Dynamics of contacting bodies with impacts 123
2.6. Stick-slip vibrations continuous friction model 144
Chapter 3 Thermoelastic Contact of Parallelepiped Moving Along Walls 152
3.1. Kinematically driven parallelepiped-type rigid plate 153
3.2. Rigid plate dynamics subject to temperature perturbation 162
3.3. Dynamics of a two degrees-of-freedom system with friction and heat generation 177
3.4. Tribological dynamical damper of vibrations with thermoelastic contact 187
Chapter 4 Contact Characteristics During Braking Process 203
4.1. Contact characteristics of three-layer brake models 204
4.2. Computation of the contact characteristics of the two-layer brake model 214
4.3. Computation of the contact characteristics of the two semi-space brake models 215
Chapter 5 Thermoelastic Contact of Two Moving Layers with Friction and Wear 223
5.1. Analysed system 223
5.2. Laplace transform 227
5.3. Algorithm of solutions 229
5.4. Solution analysis 230
5.5. Frictional thermoelastic instability 231
References 238
Index 252

Produkt-Details

• Erscheint lt. Verlag: 10.12.2008
• Reihe/Serie: Advances in Mechanics and Mathematics
• Reihe/Serie: Advances in Mechanics and Mathematics
• Zusatzinfo: XVIII, 242 p. 121 illus.
• Verlagsort: New York
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: algorithm • Analysis • contacting systems dynamics • heat generating and wear processes • inertia analysis • Mathematical Modeling • Model • Modeling • nonlinear mechanics • Numerical analysis • rigid and elastic bodies • Transformation • Tribology • Vibration
• ISBN-10: 0-387-09653-1 / 0387096531
• ISBN-13: 978-0-387-09653-7 / 9780387096537