Analytical Elements of Mechanics

Analytical Elements of Mechanics PDF

Author: Thomas R. Kane

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 267

ISBN-13: 1483274209

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Analytical Elements of Mechanics, Volume 1, is the first of two volumes intended for use in courses in classical mechanics. The books aim to provide students and teachers with a text consistent in content and format with the author’s ideas regarding the subject matter and teaching of mechanics, and to disseminate these ideas. The book opens with a detailed exposition of vector algebra, and no prior knowledge of this subject is required. This is followed by a chapter on the topic of mass centers, which is presented as a logical extension of concepts introduced in connection with centroids. A theory of moments and couples is constructed without reference to forces, these being mentioned only in illustrative examples. This is done because it eventually becomes necessary to apply the theory to systems of vectors which are not forces, such as momenta and impulses. Equilibrium is discussed in the final chapter, preceded by extended examination of the concept of force.

Analytical Elements of Mechanics

Analytical Elements of Mechanics PDF

Author: Thomas R. Kane

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 354

ISBN-13: 1483274217

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Analytical Elements of Mechanics, Volume 2: Dynamics focuses on the processes, methodologies, approaches, and technologies involved in classical mechanics. The book first offers information on the differentiation of vectors, including vector functions of a scalar variable; derivatives of sums and products; vector tangents of a space curve; vector binormals of a space curve; and Taylor's theorem for vector functions. The manuscript then ponders on kinematics, as well as angular velocity and acceleration, absolute and relative velocity and acceleration, and rates of change of orientation of a rigid body. The text examines second moments and laws of motion. Discussions focus on second moments of sets of particles and continuous bodies, second moments of a point, motions of rigid bodies, and linear and angular momentum. The publication is a dependable reference for readers interested in the dynamics of the analytical elements of mechanics.

Analytical Mechanics

Analytical Mechanics PDF

Author: A.I. Lurie

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 859

ISBN-13: 3540456775

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This is a translation of A.I. Lurie’s classical Russian textbook on analytical mechanics. It offers a consummate exposition of the subject of analytical mechanics through a deep analysis of its most fundamental concepts. The book has served as a desk text for at least two generations of researchers working in those fields where the Soviet Union accomplished the greatest technological breakthrough of the 20th century - a race into space. Those and other related fields continue to be intensively explored since then, and the book clearly demonstrates how the fundamental concepts of mechanics work in the context of up-to-date engineering problems.

The Elements of Mechanics

The Elements of Mechanics PDF

Author: Giovanni Gallavotti

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 586

ISBN-13: 3662007312

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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.

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