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Titlebook: An Introduction to Modern Variational Techniques in Mechanics and Engineering; B. D. Vujanovic,T. M. Atanackovic Textbook 2004 Springer Sc

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期刊全称An Introduction to Modern Variational Techniques in Mechanics and Engineering
影响因子2023B. D. Vujanovic,T. M. Atanackovic
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发行地址Many examples and novel applications throughout.Competitive literature - Meirovich, Goldstein - is outdated and does not include the synthesis of topics presented here.Will serve a broad audience in a
图书封面Titlebook: An Introduction to Modern Variational Techniques in Mechanics and Engineering;  B. D. Vujanovic,T. M. Atanackovic Textbook 2004 Springer Sc
影响因子This book is devoted to the basic variational principles of mechanics: the Lagrange-D‘Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the main subject of contemporary analytical mechanics, and from them the whole colossal corpus of classical dynamics can be deductively derived as a part of physical theory. In recent years students and researchers of engineering and physics have begun to realize the utility of variational principles and the vast possi­ bilities that they offer, and have applied them as a powerful tool for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems. The present book has evolved from a series of lectures to graduate stu­ dents and researchers in engineering given by the authors at the Depart­ ment of Mechanics at the University of Novi Sad Serbia, and numerous foreign universities. The objective of the authors has been to acquaint the reader with the wide possibilities to apply variational principles in numerous problems of contemporary analytical mechanics, for example, the Noether theory for finding conservation laws of conservativ
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Transformation Properties of the Lagrange— D’Alembert Variational Principle: Conservation Laws of Noof conservat ive and purely nonconservative dynamical systems. The basic idea of this approach is to consider the transformation properties of the Lagrange-D’Alembert principle with respect to the infinite simaltransform at ion of the generalized coordinates and time. It is of interest to note that
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The Hamiltonian Variational Principle and Its Applicationse is based upon the . characteristics of motion; that is, the relations between its scalar and vector characteristics are considered simultaneously in one particular inst ant of time. The problem of describing the global characteristics of motion has been reduced to the integration of differential e
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Variable End Points, Natural Boundary Conditions, Bolza Problems We shall cons ider in particular the cases in which the initi al or terminal configur at ions (or both) ar e not sp ecified . Also, it may happen that t he time interval in which the evolut iona ry process is t aking place is not given . For these cases the Hamiltonian principle usually produces ch
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B. D. Vujanovic,T. M. AtanackovicMany examples and novel applications throughout.Competitive literature - Meirovich, Goldstein - is outdated and does not include the synthesis of topics presented here.Will serve a broad audience in a
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Einleitung und Problemstellung,t form that is not connected to any privileged coordinate system. To accomplish this goal we turn first to the Lagrange-D’Alembert differential variational principle, whose applications are very wide and encompass holonomic and nonholonomic dynamical systems and also conservative and purely nonconse
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