This intensive study in contact mechanics explores the nonsmooth dynamics of contacting bodies. Mathematical modeling is illustrated and discussed in numerous applications, and special attention is paid to the importance of the inertia factor.

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.

Intended readership broad

Draws on multiple disciplines, e.g., mechanics, applied mathematics, engineering, and physics

Unique monograph to address the topic of dynamic contact problems in thermoelasticity, which take into account inertial effects and influence of thermoelastic coupling for models of solids in contact

Mathematical modeling methods are illustrated and applied to practical engineering problems: e.g., for improving the reliability and durability of machines and mechanisms under friction, heat, and amount of wear in contact

Presents solutions describe many interesting nonlinear effects

Autorentext

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2 edited volumes, 9 conferences proceedings, 8 journal special issues, and 145 other books, commentaries, or unpublished reports.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

Inhalt
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.