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© 2007

Mechanical Systems, Classical Models

Volume I: Particle Mechanics

Book

Table of contents

  1. Front Matter
    Pages I-XII
  2. Petre P. Teodorescu
    Pages 1-74
  3. Petre P. Teodorescu
    Pages 75-114
  4. Petre P. Teodorescu
    Pages 115-200
  5. Petre P. Teodorescu
    Pages 201-286
  6. Petre P. Teodorescu
    Pages 287-351
  7. Petre P. Teodorescu
    Pages 401-467
  8. Petre P. Teodorescu
    Pages 469-542
  9. Petre P. Teodorescu
    Pages 543-595
  10. Petre P. Teodorescu
    Pages 595-691
  11. Back Matter
    Pages 745-780

About this book

Introduction

All phenomena in nature are characterized by motion; this is an essential property of matter, having infinitely many aspects. Motion can be mechanical, physical, chemical or biological, leading to various sciences of nature, mechanics being one of them. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion.

In the study of a science of nature mathematics plays an important role. Mechanics is the first science of nature which was expressed in terms of mathematics by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool; on the other hand, we must observe that mechanics also influenced the introduction and the development of many mathematical notions.

In this respect, the guideline of the present book is precisely the mathematical model of mechanics. A special accent is put on the solving methodology as well as on the mathematical tools used; vectors, tensors and notions of field theory. Continuous and discontinuous phenomena, various mechanical magnitudes are presented in a unitary form by means of the theory of distributions. Some appendices give the book an autonomy with respect to other works, special previous mathematical knowledge being not necessary.

Some applications connected to important phenomena of nature are presented, and this also gives one the possibility to solve problems of interest from the technical, engineering point of view. In this form, the book becomes – we dare say – a unique outline of the literature in the field; the author wishes to present the most important aspects connected with the study of mechanical systems, mechanics being regarded as a science of nature, as well as its links to other sciences of nature. Implications in technical sciences are not neglected.

Audience:
Librarians, and researchers interested in the fundamentals of mechanics

Keywords

Degrees of freedom MB07 Potential mass geometry mechanics of the systems of forces particle dynamics statics and kinematics

Authors and affiliations

  1. 1.Faculty of MathematicsUniversity of BucharestRomania

About the authors

Prof. Dr. Doc. Petre P. Teodorescu
Born: June 30, 1929, Bucuresti.
M.Sc.: Faculty of Mathematics of the University of Bucharest, 1952; Faculty of Bridges of the Technical University of Civil Engineering, Bucharest, 1953.
Ph.D.: "Calculus of rectangular deep beams in a general case of support and loading", Technical University of Civil Engineering, Bucharest, 1955.
Academic Positions: Consulting Professor.
at the University of Bucharest, Faculty of Mathematics.
Fields of Research: Mechanics of Deformable Solids (especially Elastic Solids), Mathematical Methods of Calculus in Mechanics.
Selected Publications:
1. "Applications of the Theory of Distributions in Mechanics", Editura Academiei-Abacus Press, Bucuresti-Tunbrige Wells, Kent, 1974 (with W. Kecs);
2. "Dynamics of Linear Elastic Bodies", Editura Academiei-Abacus Press, Bucuresti-Tunbrige Wells, Kent, 1975;
3. "Spinor and Non-Euclidean Tensor Calculus with Applications", Editura Tehnicã-Abacus Press, Bucuresti-Tunbrige Wells, Kent, 1983 (with I. Beju and E. Soos);
4. "Mechanical Systems", vol. I, II, Editura Tehnicã, Bucuresti, 1988.
Invited Addresses: The 2nd European Conference of Solid Mechanics, September 1994, Genoa, Italy: Leader of a Section of the Conference and a Communication.
Lectures Given Abroad: Hannover, Dortmund, Paderborn, Germany, 1994; Padova, Pisa, Italy, 1994.
Additional Information: Prize "Gh. Titeica" of the Romanian Academy in 1966; Member in the Advisory Board of Meccanica (Italy), Mechanics Research Communications and Letters in Applied Engineering Sciences (U.S.A.); Member of GAMM (Germany) and AMS (U.S.A.); Reviewer: Mathematical Reviews, Zentralblatt fuer Mathematik und ihre Grenzgebiete, Ph.D. advisor.

Bibliographic information

  • Book Title Mechanical Systems, Classical Models
  • Book Subtitle Volume I: Particle Mechanics
  • Authors Petre P. Teodorescu
  • Series Title Mathematical and Analytical Techniques with Applications to Engineering
  • DOI https://doi.org/10.1007/1-4020-5442-4
  • Copyright Information Springer 2007
  • Publisher Name Springer, Dordrecht
  • eBook Packages Physics and Astronomy Physics and Astronomy (R0)
  • Hardcover ISBN 978-1-4020-5441-9
  • Softcover ISBN 978-90-481-7369-3
  • eBook ISBN 978-1-4020-5442-6
  • Series ISSN 1559-7458
  • Edition Number 1
  • Number of Pages XII, 778
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Original Romanian edition published by EDITURA TEHNICA, Bucharest
  • Topics Classical Mechanics
    Applications of Mathematics
    Mathematical Methods in Physics
  • Buy this book on publisher's site

Reviews

From the reviews:

"This book is the first volume of a treatise on the classical theory of mechanical systems. … The book is useful at the graduate level in physics and mechanical engineering, as well as in mathematics. … The mathematical aspects are carefully presented. The text provides a detailed analysis of some generic examples, which will be enough to show how the theory is applied, at least for experienced readers. The subjects covered by the text are divided into 10 large chapters." (José Fernández-Núñez, Mathematical Reviews, Issue 2008 j)