Nonsmooth Dynamics of Contacting Thermoelastic Bodies

ISBN-13: 9781441918802 / Angielski / Miękka / 2010 / 242 str.

Jan Awrejcewicz; Yuriy Pyr'yev

Opis

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.

Recenzje

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." (Frédéric 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)

Spis treści

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.

O autorze

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.

Blurb

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.

Principal features:

* 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 that describe many interesting nonlinear effects

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.