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Author: James Blaikie
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 224
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Book Description
Author: James Blaikie
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 224
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Book Description
Author: Thomas R. Kane
Publisher: Elsevier
ISBN: 1483274209
Category : Science
Languages : en
Pages : 267
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Book Description
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.
Author: P.F. Kelly
Publisher: CRC Press
ISBN: 1482206544
Category : Science
Languages : en
Pages : 446
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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 colour the presentation and are alluded to when most relevant, but the focus remains firmly on the classical formulations and model descriptions of particular physical systems. The specific topics covered in Elements of Mechanics include: Kinematics in one and more dimensions in Cartesian and polar coordinates Dynamics, Galilean Relativity and Newton’s Laws of Motion Energetics, work–energy theorems, conservative forces, and potential energy Impulse and momentum, systems of particles and rigid bodies Rigid body rotational kinematics, dynamics, and energetics Statics Newton’s Law of Universal Gravitation The book prepares undergraduate students majoring in the natural sciences and engineering for intermediate and advanced classes in their disciplines which rely upon this foundational material. It also supplies a comprehensive review in preparation for graduate or professional exams. Therefore, the series is structured in such manner that the second and third books, Properties of Materials and Electricity and Magnetism, follow upon the first, but may be read independently of each other. Written in a conversational and accessible style, the material is presented in standard, canonical sequence. Worked examples and collections of problems serve to illustrate and illuminate subject material in each volume.
Author: Jens M. Knudsen
Publisher: Springer Science & Business Media
ISBN: 3642976735
Category : Science
Languages : en
Pages : 442
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Book Description
In the second edition, a number of misprints that appeared in the first edition have been corrected. In addition to this, we have made improvements based on the experience gathered in the use of the first English edition of the book in the introductory course in physics at the University of Copenhagen. A chapter introducing nonlinear dynamics has been added. The purpose of this chapter is to provide supplementary reading for the students who are interested in this area of active research, where Newtonian mechanics plays an essential role. The students who wish to dig deeper, should consult texts dedicated to the study of nonlinear dynamical systems and chaos. The literature list at the end of this book contains several references for the topic. The book still contains a one-semester (15 weeks) first university course on Newtonian mechanics. This necessarily introduces some constraints on the choice of topics and the level of mathematical sophistication expected from the reader. If one looks for discussions of technical issues, such as the physics behind various manifestations of friction, or the tensorial nature of the rotation vector, one will look in vain. The book contains what we feel are the essential aspects of Newtonian Mechanics. It is a pleasure again to thank Springer-Verlag and in particular Dr. H. J. KOisch and the staff at the Heidelberg office for helpfulness and professional collaboration.
Author: Sidney Luxton Loney
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 572
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Author: Rudolph Kurth
Publisher: Elsevier
ISBN: 1483151727
Category : Mathematics
Languages : en
Pages : 193
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Book Description
Elements of Analytical Dynamics deals with dynamics, which studies the relationship between motion of material bodies and the forces acting on them. This book is a compilation of lectures given by the author at the Georgia and Institute of Technology and formed a part of a course in Topological Dynamics. The book begins by discussing the notions of space and time and their basic properties. It then discusses the Hamilton-Jacobi theory and Hamilton's principle and first integrals. The text concludes with a discussion on Jacobi's geometric interpretation of conservative systems. This book will be of direct use to graduate students of Mathematics with minimal background in Theoretical Mechanics.
Author: Ben Q. Li
Publisher: Springer Science & Business Media
ISBN: 1846282055
Category : Technology & Engineering
Languages : en
Pages : 587
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Book Description
Over the past several years, significant advances have been made in developing the discontinuous Galerkin finite element method for applications in fluid flow and heat transfer. Certain unique features of the method have made it attractive as an alternative for other popular methods such as finite volume and finite elements in thermal fluids engineering analyses. This book is written as an introductory textbook on the discontinuous finite element method for senior undergraduate and graduate students in the area of thermal science and fluid dynamics. It also can be used as a reference book for researchers and engineers who intend to use the method for research in computational fluid dynamics and heat transfer. A good portion of this book has been used in a course for computational fluid dynamics and heat transfer for senior undergraduate and first year graduate students. It also has been used by some graduate students for self-study of the basics of discontinuous finite elements. This monograph assumes that readers have a basic understanding of thermodynamics, fluid mechanics and heat transfer and some background in numerical analysis. Knowledge of continuous finite elements is not necessary but will be helpful. The book covers the application of the method for the simulation of both macroscopic and micro/nanoscale fluid flow and heat transfer phenomena.
Author: Javier Bonet
Publisher: Cambridge University Press
ISBN: 1107115620
Category : Mathematics
Languages : en
Pages : 351
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Book Description
The perfect introduction to the theory and computer programming for the dynamic simulation of nonlinear solid mechanics.
Author: Millard F. Beatty
Publisher: Springer Science & Business Media
ISBN: 0387237046
Category : Technology & Engineering
Languages : en
Pages : 611
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Book Description
Separation of the elements of classical mechanics into kinematics and dynamics is an uncommon tutorial approach, but the author uses it to advantage in this two-volume set. Students gain a mastery of kinematics first – a solid foundation for the later study of the free-body formulation of the dynamics problem. A key objective of these volumes, which present a vector treatment of the principles of mechanics, is to help the student gain confidence in transforming problems into appropriate mathematical language that may be manipulated to give useful physical conclusions or specific numerical results. In the first volume, the elements of vector calculus and the matrix algebra are reviewed in appendices. Unusual mathematical topics, such as singularity functions and some elements of tensor analysis, are introduced within the text. A logical and systematic building of well-known kinematic concepts, theorems, and formulas, illustrated by examples and problems, is presented offering insights into both fundamentals and applications. Problems amplify the material and pave the way for advanced study of topics in mechanical design analysis, advanced kinematics of mechanisms and analytical dynamics, mechanical vibrations and controls, and continuum mechanics of solids and fluids. Volume I of Principles of Engineering Mechanics provides the basis for a stimulating and rewarding one-term course for advanced undergraduate and first-year graduate students specializing in mechanics, engineering science, engineering physics, applied mathematics, materials science, and mechanical, aerospace, and civil engineering. Professionals working in related fields of applied mathematics will find it a practical review and a quick reference for questions involving basic kinematics.
Author: Glen V. Berg
Publisher:
ISBN: 9780132724937
Category : Earthquake resistant design
Languages : en
Pages : 268
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Book Description
