Elements of Analytical Mechanics PDF Download
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Author: Peter Smith Michie
Publisher:
ISBN:
Category : Mechanics, Analytic
Languages : en
Pages : 410
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Book Description
Author: Giovanni Gallavotti
Publisher: Springer Science & Business Media
ISBN: 3662007312
Category : Science
Languages : en
Pages : 586
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Book Description
The word "elements" in the title of this book does not convey the implica tion that its contents are "elementary" in the sense of "easy": it mainly means that no prerequisites are required, with the exception of some basic background in classical physics and calculus. It also signifies "devoted to the foundations". In fact, the arguments chosen are all very classical, and the formal or technical developments of this century are absent, as well as a detailed treatment of such problems as the theory of the planetary motions and other very concrete mechanical problems. This second meaning, however, is the result of the necessity of finishing this work in a reasonable amount of time rather than an a priori choice. Therefore a detailed review of the "few" results of ergodic theory, of the "many" results of statistical mechanics, of the classical theory of fields (elasticity and waves), and of quantum mechanics are also totally absent; they could constitute the subject of two additional volumes on mechanics. This book grew out of several courses on meccanica razionaie, i.e., essentially, theoretical mechanics, which I gave at the University of Rome during the years 1975-1978.
Author: P.F. Kelly
Publisher: CRC Press
ISBN: 1482206579
Category : Science
Languages : en
Pages : 445
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Book Description
The first volume in a three-part series, Elements of Mechanics provides a rigorous calculus-based introduction to classical physics. It considers diverse phenomena in a systematic manner and emphasises the development of consistent and coherent models guided by symmetry considerations and the application of general principles. Modern developments c
Author: S.K. Godunov
Publisher: Springer Science & Business Media
ISBN: 9780306477355
Category : Computers
Languages : en
Pages : 270
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Book Description
Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials.
Author: Peter W. Likins
Publisher:
ISBN:
Category :
Languages : en
Pages : 538
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Book Description
Author: Vladimir Slivker
Publisher: Springer Science & Business Media
ISBN: 3540447210
Category : Technology & Engineering
Languages : en
Pages : 787
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Book Description
The book systematically presents variational principles and methods of analysis for applied elasticity and structural mechanics. The variational approach is used consistently for both, constructing numerical procedures and deriving basic governing equations of applied mechanics of solids; it is the derivation of equations where this approach is most powerful and best grounded by mathematics.
Author: M. Reza Eslami
Publisher: Springer
ISBN: 9783319080369
Category : Technology & Engineering
Languages : en
Pages : 0
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Book Description
This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams and elasticity with detailed derivations for the mass, stiffness and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson’s equation. The second computer program handles the two dimensional elasticity problems and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment.
Author: David C. Wilcox
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 600
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Book Description
Author: Prashant Kumar
Publisher: Tata McGraw-Hill Education
ISBN: 9780070656963
Category : Electronic books
Languages : en
Pages : 0
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Book Description
Fracture Mechanics is an essential tool to evaluate whether a component is likely to fil or not. This book has been written in a simple and step-wise manner to help readers familiarise with the basic and advanced topics. Additionally it has over 185 illustrations to further reinforce and simplify the learning process. With this coverage, the book will be useful to professionals and students of engineering.
Author: Clifford Ambrose Truesdell
Publisher:
ISBN:
Category : Continuum mechanics
Languages : en
Pages : 436
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Book Description
Author: Peter Smith Michie
Publisher:
ISBN:
Category : Mechanics, Analytic
Languages : en
Pages : 410
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Book Description
