Mechanical Systems, Classical Models: Volume II: Mechanics of Discrete and Continuous Systems / Edition 1

Mechanical Systems, Classical Models: Volume II: Mechanics of Discrete and Continuous Systems / Edition 1

by Petre P. Teodorescu
     
 

ISBN-10: 9048180449

ISBN-13: 9789048180448

Pub. Date: 11/19/2010

Publisher: Springer Netherlands

As it was already seen in the first volume of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, on its five principles, i. e. : the inertia, the forces action, the action and reaction, the parallelogram and the initial conditions

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Overview

As it was already seen in the first volume of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, on its five principles, i. e. : the inertia, the forces action, the action and reaction, the parallelogram and the initial conditions principle, respectively. Other models, e. g. , the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Kepler’s laws brilliantly verify this model in case of velocities much smaller than the light velocity in vacuum. The non-classical models are relativistic and quantic. Mechanics has as object of study mechanical systems. The first volume of this book dealt with particle dynamics. The present one deals with discrete mechanical systems for particles in a number greater than the unity, as well as with continuous mechanical systems. We put in evidence the difference between these models, as well as the specificity of the corresponding studies; the generality of the proofs and of the corresponding computations yields a common form of the obtained mechanical results for both discrete and continuous systems. We mention the thoroughness by which the dynamics of the rigid solid with a fixed point has been presented. The discrete or continuous mechanical systems can be non-deformable (e. g.

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Product Details

ISBN-13:
9789048180448
Publisher:
Springer Netherlands
Publication date:
11/19/2010
Series:
Mathematical and Analytical Techniques with Applications to Engineering Series
Edition description:
Softcover reprint of hardcover 1st ed. 2009
Pages:
564
Product dimensions:
6.14(w) x 9.21(h) x 1.16(d)

Table of Contents

Volume II. Mechanics of discrete and continuous systems 11: DYNAMICS OF DISCRETE MECHANICAL SYSTEMS
11.1 Dynamics of discrete mechanical systems with respect to an inertial frame of reference. 11.2 Dynamics of discrete mechanical systems with respect to a non-inertial frame of reference.
12: DYNAMICS OF CONTINUOUS MECHANICAL SYSTEMS
12.1 General considerations. 12.2 One-dimensional continuous mechanical systems.
13: OTHER CONSIDERATIONS ON THE DYNAMICS OF MECHANICAL SYSTEMS
13.1 Motions with discontinuities. 13.2 Dynamics of mechanical systems of variable mass.
14: DYNAMICS OF THE RIGID SOLID
14.1 General results. Euler-Poinsot case. 14.2 Case in which the ellipsoid of inertia is of revolution
15: DYNAMICS OF THE RIGID SOLID WITH A FIXED POINT
15.1 General results. Euler-Poinsot case. 15.2 Case in which the ellipsoid of inertia is of rotation. Other cases of integrability.
16: OTHER CONSIDERATIONS ON THE RIGID SOLID
16.1 Motions of the Earth. 16.2 Theory of the gyroscope. 16.3 Dynamics of the rigid solid of variable mass.
17: DYNAMICS OF SYSTEMS OF RIGID SOLIDS
17.1 Motion of systems of rigid solids. 17.2 Motion with discontinuities of the rigid solids. Collision. 17.3 Applications in the dynamics of engines. References; Subject Index; Name Index.

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