Vectorial Mechanics

Vectorial Mechanics PDF Author: Ludwik Silberstein
Publisher:
ISBN:
Category : Mechanics, Analytic
Languages : en
Pages : 220

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Book Description

Vectorial Mechanics

Vectorial Mechanics PDF Author: Ludwik Silberstein
Publisher:
ISBN:
Category : Mechanics, Analytic
Languages : en
Pages : 220

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Book Description


Vectorial Mechanics

Vectorial Mechanics PDF Author: E. A. Milne
Publisher:
ISBN:
Category : Mechanics, Analytic
Languages : en
Pages : 382

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Book Description


Vectorial Mechanics

Vectorial Mechanics PDF Author: Louis Brand
Publisher: Legare Street Press
ISBN: 9781022237353
Category : History
Languages : en
Pages : 0

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Book Description
Louis Brand's definitive guide to vectorial mechanics is essential reading for students and professionals alike. Covering topics such as force, motion, and equilibrium, this groundbreaking work provides a comprehensive and in-depth exploration of this essential field. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Dynamics of Structures, Third Edition

Dynamics of Structures, Third Edition PDF Author: J. Humar
Publisher: CRC Press
ISBN: 0415620864
Category : Technology & Engineering
Languages : en
Pages : 1058

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Book Description
This major textbook provides comprehensive coverage of the analytical tools required to determine the dynamic response of structures. The topics covered include: formulation of the equations of motion for single- as well as multi-degree-of-freedom discrete systems using the principles of both vector mechanics and analytical mechanics; free vibration response; determination of frequencies and mode shapes; forced vibration response to harmonic and general forcing functions; dynamic analysis of continuous systems;and wave propagation analysis. The key assets of the book include comprehensive coverage of both the traditional and state-of-the-art numerical techniques of response analysis, such as the analysis by numerical integration of the equations of motion and analysis through frequency domain. The large number of illustrative examples and exercise problems are of great assistance in improving clarity and enhancing reader comprehension. The text aims to benefit students and engineers in the civil, mechanical, and aerospace sectors.

A History of Vector Analysis

A History of Vector Analysis PDF Author: Michael J. Crowe
Publisher: Courier Corporation
ISBN: 0486679101
Category : Mathematics
Languages : en
Pages : 306

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Book Description
Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.

Dynamics of Structures: Second Edition

Dynamics of Structures: Second Edition PDF Author: J. Humar
Publisher: CRC Press
ISBN: 9789058092465
Category : Technology & Engineering
Languages : en
Pages : 1006

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Book Description
This major textbook provides comprehensive coverage of the analytical tools required to determine the dynamic response of structures. The topics covered include: formulation of the equations of motion for single- as well as multi-degree-of-freedom discrete systems using the principles of both vector mechanics and analytical mechanics; free vibration response; determination of frequencies and mode shapes; forced vibration response to harmonic and general forcing functions; dynamic analysis of continuous systems;and wave propagation analysis. The key assets of the book include comprehensive coverage of both the traditional and state-of-the-art numerical techniques of response analysis, such as the analysis by numerical integration of the equations of motion and analysis through frequency domain. The large number of illustrative examples and exercise problems are of great assistance in improving clarity and enhancing reader comprehension. The text aims to benefit students and engineers in the civil, mechanical and aerospace sectors.

Entropy and Energy Dissipation in Water Resources

Entropy and Energy Dissipation in Water Resources PDF Author: V.P. Singh
Publisher: Springer Science & Business Media
ISBN: 9401124302
Category : Science
Languages : en
Pages : 583

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Book Description
Since the landmark contributions of C. E. Shannon in 1948, and those of E. T. Jaynes about a decade later, applications of the concept of entropy and the principle of maximum entropy have proliterated in science and engineering. Recent years have witnessed a broad range of new and exciting developments in hydrology and water resources using the entropy concept. These have encompassed innovative methods for hydrologic network design, transfer of information, flow forecasting, reliability assessment for water distribution systems, parameter estimation, derivation of probability distributions, drainage-network analysis, sediment yield modeling and pollutant loading, bridge-scour analysis, construction of velocity profiles, comparative evaluation of hydrologic models, and so on. Some of these methods hold great promise for advancement of engineering practice, permitting rational alternatives to conventional approaches. On the other hand, the concepts of energy and energy dissipation are being increasingly applied to a wide spectrum of problems in environmental and water resources. Both entropy and energy dissipation have their origin in thermodynamics, and are related concepts. Yet, many of the developments using entropy seem to be based entirely on statistical interpretation and have seemingly little physical content. For example, most of the entropy-related developments and applications in water resources have been based on the information-theoretic interpretation of entropy. We believe if the power of the entropy concept is to be fully realized, then its physical basis has to be established.

Variational Principles in Classical Mechanics

Variational Principles in Classical Mechanics PDF Author: Douglas Cline
Publisher:
ISBN: 9780998837277
Category :
Languages : en
Pages :

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Book Description
Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.The second edition adds discussion of the use of variational principles applied to the following topics:(1) Systems subject to initial boundary conditions(2) The hierarchy of related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries.(3) Non-conservative systems.(4) Variable-mass systems.(5) The General Theory of Relativity.Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, Rochester, New York.

Great Ideas of Modern Mathematics, Their Nature and Use

Great Ideas of Modern Mathematics, Their Nature and Use PDF Author: Jagjit Singh
Publisher: Courier Dover Publications
ISBN:
Category : Mathematics
Languages : en
Pages : 324

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Book Description
An explanation of the development and structure of the modern mathematics used in contemporary science

The Hamilton-Type Principle in Fluid Dynamics

The Hamilton-Type Principle in Fluid Dynamics PDF Author: Angel Fierros Palacios
Publisher: Springer Science & Business Media
ISBN: 3211343245
Category : Science
Languages : en
Pages : 426

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Book Description
The book describes Fluid Dynamics, Magnetohydrodynamics, and Classical Thermodynamics as branches of Lagrange’s Analytical Mechanics. The approach presented is markedly different from the treatment given to them in traditional text books. A Hamilton-Type Variational Principle as the proper mathematical technique for the theoretical description of the dynamic state of any fluid is formulated. The scheme is completed proposing a new group of variations regarding the evolution parameter.