Petre P. Teodorescu

Mechanical Systems, Classical Models (eBook, PDF)

Volume 3: Analytical Mechanics

• Format: PDF

Produktbeschreibung

This third volume completes the Work Mechanical Systems, Classical Models. The first two volumes dealt with particle dynamics and with discrete and continuous mechanical systems. The present volume studies analytical mechanics. Topics like Lagrangian and Hamiltonian mechanics, the Hamilton-Jacobi method, and a study of systems with separate variables are thoroughly discussed. Also included are variational principles and canonical transformations, integral invariants and exterior differential calculus, and particular attention is given to non-holonomic mechanical systems. The author explains in detail all important aspects of the science of mechanics, regarded as a natural science, and shows how they are useful in understanding important natural phenomena and solving problems of interest in applied and engineering sciences. Professor Teodorescu has spent more than fifty years as a Professor of Mechanics at the University of Bucharest and this book relies on the extensive literature on the subject as well as the author's original contributions.

Audience: scientists and researchers in applied mathematics, physics and engineering.

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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 772
• Erscheinungstermin: 30. September 2009
• Englisch
• ISBN-13: 9789048127641
• Artikelnr.: 37412493

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

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)