Mechanical Systems, Classical Models

Volume 1: Particle Mechanics
2007
ISBN: 978-1-4020-5441-9
Verlag: Springer Netherlands

Buch, Englisch, 778 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1338 g

Reihe: Mathematical and Analytical Techniques with Applications to Engineering

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.

Zielgruppe

Research

Autoren/Hrsg.

Teodorescu, Petre P.

Fachgebiete

• Naturwissenschaften Physik Mechanik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde

Inhaltsverzeichnis

Newtonian Model of Mechanics.- Mechanics of the Systems of Forces.- Mass Geometry. Displacements. Constraints.- Statics.- Kinematics.- Dynamics of the Particle with Respect to an Inertial Frame of Reference.- Problems of Dynamics of the Particle.- Dynamics of the Particle in a Field of Elastic Forces.- Newtonian Theory of Universal Attraction.- Other Considerations on Particle Dynamics.

Über Autor(innen)

Prof. Dr. Doc. Petre P. TeodorescuBorn : 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.