Variational Methods In Nonconservative Phenomena

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Variational Methods In Nonconservative Phenomena

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Author : B. D. Vujanovic
language : en
Publisher: Academic Press
Release Date : 1989-05-01

Variational Methods In Nonconservative Phenomena written by B. D. Vujanovic and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-05-01 with Mathematics categories.

This book provides a comprehensive survey of analytic and approximate solutions of problems of applied mechanics, with particular emphasis on nonconservative phenomena. Include

An Introduction To Modern Variational Techniques In Mechanics And Engineering

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Author : Bozidar D. Vujanovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

An Introduction To Modern Variational Techniques In Mechanics And Engineering written by Bozidar D. Vujanovic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

* Atanackovic has good track record with Birkhauser: his "Theory of Elasticity" book (4072-X) has been well reviewed. * Current text has received two excellent pre-pub reviews. * May be used as textbook in advanced undergrad/beginning grad advanced dynamics courses in engineering, physics, applied math departments. *Also useful as self-study reference for researchers and practitioners. * Many examples and novel applications throughout. Competitive literature---Meirovich, Goldstein---is outdated and does not include the synthesis of topics presented here.

Fractional Calculus With Applications In Mechanics

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Author : Teodor M. Atanackovic
language : en
Publisher: John Wiley & Sons
Release Date : 2014-03-17

Fractional Calculus With Applications In Mechanics written by Teodor M. Atanackovic and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-17 with Mathematics categories.

The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles contain various applications of fractional calculus to the fields of classical mechanics. Namely, the books study problems in fields such as viscoelasticity of fractional order, lateral vibrations of a rod of fractional order type, lateral vibrations of a rod positioned on fractional order viscoelastic foundations, diffusion-wave phenomena, heat conduction, wave propagation, forced oscillations of a body attached to a rod, impact and variational principles of a Hamiltonian type. The books will be useful for graduate students in mechanics and applied mathematics, as well as for researchers in these fields. Part 1 of this book presents an introduction to fractional calculus. Chapter 1 briefly gives definitions and notions that are needed later in the book and Chapter 2 presents definitions and some of the properties of fractional integrals and derivatives. Part 2 is the central part of the book. Chapter 3 presents the analysis of waves in fractional viscoelastic materials in infinite and finite spatial domains. In Chapter 4, the problem of oscillations of a translatory moving rigid body, attached to a heavy, or light viscoelastic rod of fractional order type, is studied in detail. In Chapter 5, the authors analyze a specific engineering problem of the impact of a viscoelastic rod against a rigid wall. Finally, in Chapter 6, some results for the optimization of a functional containing fractional derivatives of constant and variable order are presented.

Theory Of Elasticity For Scientists And Engineers

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Author : Teodor M. Atanackovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-06-16

Theory Of Elasticity For Scientists And Engineers written by Teodor M. Atanackovic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-16 with Technology & Engineering categories.

This book is intended to be an introduction to elasticity theory. It is as sumed that the student, before reading this book, has had courses in me chanics (statics, dynamics) and strength of materials (mechanics of mate rials). It is written at a level for undergraduate and beginning graduate engineering students in mechanical, civil, or aerospace engineering. As a background in mathematics, readers are expected to have had courses in ad vanced calculus, linear algebra, and differential equations. Our experience in teaching elasticity theory to engineering students leads us to believe that the course must be problem-solving oriented. We believe that formulation and solution of the problems is at the heart of elasticity theory. 1 Of course orientation to problem-solving philosophy does not exclude the need to study fundamentals. By fundamentals we mean both mechanical concepts such as stress, deformation and strain, compatibility conditions, constitu tive relations, energy of deformation, and mathematical methods, such as partial differential equations, complex variable and variational methods, and numerical techniques. We are aware of many excellent books on elasticity, some of which are listed in the References. If we are to state what differentiates our book from other similar texts we could, besides the already stated problem-solving ori entation, list the following: study of deformations that are not necessarily small, selection of problems that we treat, and the use of Cartesian tensors only.

Non Commuting Variations In Mathematics And Physics

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Author : Serge Preston
language : en
Publisher: Springer
Release Date : 2016-03-02

Non Commuting Variations In Mathematics And Physics written by Serge Preston and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Technology & Engineering categories.

This text presents and studies the method of so –called noncommuting variations in Variational Calculus. This method was pioneered by Vito Volterra who noticed that the conventional Euler-Lagrange (EL-) equations are not applicable in Non-Holonomic Mechanics and suggested to modify the basic rule used in Variational Calculus. This book presents a survey of Variational Calculus with non-commutative variations and shows that most basic properties of conventional Euler-Lagrange Equations are, with some modifications, preserved for EL-equations with K-twisted (defined by K)-variations. Most of the book can be understood by readers without strong mathematical preparation (some knowledge of Differential Geometry is necessary). In order to make the text more accessible the definitions and several necessary results in Geometry are presented separately in Appendices I and II Furthermore in Appendix III a short presentation of the Noether Theorem describing the relation between the symmetries of the differential equations with dissipation and corresponding s balance laws is presented.

Analytical Mechanics A Comprehensive Treatise On The Dynamics Of Constrained Systems Reprint Edition

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Author : John G Papastavridis
language : en
Publisher: World Scientific
Release Date : 2014-03-06

Analytical Mechanics A Comprehensive Treatise On The Dynamics Of Constrained Systems Reprint Edition written by John G Papastavridis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-06 with Mathematics categories.

This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.

Discrete And Continuum Models For Complex Metamaterials

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Author : Francesco dell'Isola
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-12

Discrete And Continuum Models For Complex Metamaterials written by Francesco dell'Isola and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-12 with Science categories.

Explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Including a comprehensive bibliography and historical review of the field, and a pedagogical mathematical treatment, it is ideal for graduate students and researchers in mechanical and civil engineering, and materials science.

Fractional Differential Equations

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Author : Igor Podlubny
language : en
Publisher: Elsevier
Release Date : 1998-10-27

Fractional Differential Equations written by Igor Podlubny and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-27 with Mathematics categories.

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. A unique survey of many applications of fractional calculus Presents basic theory Includes a unified presentation of selected classical results, which are important for applications Provides many examples Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives

Modern Problems Of Structural Stability

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Author : Alexander P. Seyranian
language : en
Publisher: Springer
Release Date : 2014-05-04

Modern Problems Of Structural Stability written by Alexander P. Seyranian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.

Stability of structures is one of the most important and interesting fields in mechanics. This book is dedicated to fundamental concepts, problems and methods of structural stability along with qualitative understanding of instability phenomena. The methods presented are constructive and easy to implement in computer programs. Recent exciting experiments on dynamic stability of non-conservative systems are described and shown by many photographs.

Bulletin Tome Cxi

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Author :
language : en
Publisher: Srpska akademija nauka i umetnosti
Release Date : 1996-05-28

Bulletin Tome Cxi written by and has been published by Srpska akademija nauka i umetnosti this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-28 with categories.

YU ISSN 0561-7332 TABLE DES MATIERES 1 F. Herbut: State-dependent logical implication in quantum mechanics and, distant correlations 1 2. Lj. On multi-valued none. xpansive type mappings, coincidences and fixed points 9 3. I. Gutman: Two distance-based graph invariants and their relation in the case of unicyclic graphs 19 4. B. D. Vujanovie: Conservation laws of nonconservative dynamical systems via Hamel's variational principle 31 5. S. Pilipovie, B. Stankovie: Properties of ultradistributions having the 5-asymptotics 47 6. A. 'vie: On the distribution of zeros of a class of convolution functions 61 7. Olga Hac1216, Z. Ovcin: A variational principle in fuzzy metric spaces 73 8. V. V. Kozlov, V. Vujiele: A contribution to the theory of rheonomic systems 85 Ово дело је лиценцирано под условима лиценце Creative Commons - Attribution-Noncommercial-No Derivative Works 3.0 Serbia http://creativecommons.org/licenses/by-nc-nd/3.0/rs/deed.en