An Introduction To Modern Variational Techniques In Mechanics And Engineering
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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 : 2004
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 2004 with Mathematics 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 Competitive literature---Meirovich, Goldstein---is outdated and does not include the synthesis of topics presented here.
An Introduction To Modern Variational Techniques In Mechanics And Engineering
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Author : Bozidar D. Vujanović
language : en
Publisher: Birkhauser
Release Date : 2004
An Introduction To Modern Variational Techniques In Mechanics And Engineering written by Bozidar D. Vujanović and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Calculus of variations categories.
A First Course In The Calculus Of Variations
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Author : Mark Kot
language : en
Publisher: American Mathematical Society
Release Date : 2014-10-06
A First Course In The Calculus Of Variations written by Mark Kot and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-06 with Mathematics categories.
This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.
Multicomponent And Multiscale Systems
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Author : Juergen Geiser
language : en
Publisher: Springer
Release Date : 2015-08-21
Multicomponent And Multiscale Systems written by Juergen Geiser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-21 with Technology & Engineering categories.
This book examines the latest research results from combined multi-component and multi-scale explorations. It provides theory, considers underlying numerical methods and presents brilliant computational experimentation. Engineering computations featured in this monograph further offer particular interest to many researchers, engineers and computational scientists working in frontier modeling and applications of multicomponent and multiscale problems. Professor Geiser gives specific attention to the aspects of decomposing and splitting delicate structures and controlling decomposition and the rationale behind many important applications of multi-component and multi-scale analysis. Multicomponent and Multiscale Systems: Theory, Methods and Applications in Engineering also considers the question of why iterative methods can be powerful and more appropriate for well-balanced multiscale and multicomponent coupled nonlinear problems. The book is ideal for engineers and scientists working in theoretical and applied areas.
Fractional Calculus With Applications In Mechanics
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Author : Teodor M. Atanackovic
language : en
Publisher: John Wiley & Sons
Release Date : 2014-02-19
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 2014-02-19 with Mathematics categories.
This book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented. The central part of the book contains various applications in classical mechanics including fields such as: viscoelasticity, heat conduction, wave propagation and variational Hamilton–type principles. Mathematical rigor will be observed in the applications. The authors provide some problems formulated in the classical setting and some in the distributional setting. The solutions to these problems are presented in analytical form and these solutions are then analyzed numerically. Theorems on the existence of solutions will be presented for all examples discussed. In using various constitutive equations the restrictions following from the second law of thermodynamics will be implemented. Finally, the physical implications of obtained solutions will be discussed in detail.
Advanced Mechanical Vibrations
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Author : Paolo Luciano Gatti
language : en
Publisher: CRC Press
Release Date : 2020-12-20
Advanced Mechanical Vibrations written by Paolo Luciano Gatti and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-20 with Technology & Engineering categories.
Advanced Mechanical Vibrations: Physics, Mathematics and Applications provides a concise and solid exposition of the fundamental concepts and ideas that pervade many specialised disciplines where linear engineering vibrations are involved. Covering the main key aspects of the subject – from the formulation of the equations of motion by means of analytical techniques to the response of discrete and continuous systems subjected to deterministic and random excitation – the text is ideal for intermediate to advanced students of engineering, physics and mathematics. In addition, professionals working in – or simply interested in – the field of mechanical and structural vibrations will find the content helpful, with an approach to the subject matter that places emphasis on the strict, inextricable and sometimes subtle interrelations between physics and mathematics, on the one hand, and theory and applications, on the other hand. It includes a number of worked examples in each chapter, two detailed mathematical appendixes and an extensive list of references.
Mathematical Modelling Nonlinear Control And Performance Evaluation Of A Ground Based Mobile Air Defence System
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Author : Constantinos Frangos
language : en
Publisher: Springer Nature
Release Date : 2021-04-01
Mathematical Modelling Nonlinear Control And Performance Evaluation Of A Ground Based Mobile Air Defence System written by Constantinos Frangos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-01 with Technology & Engineering categories.
In this book, the author deals with the mathematical modelling, nonlinear control and performance evaluation of a conceptual anti-aircraft gun based mobile air defence system engaging an attacking three-dimensional aerial target. This book is of interest to academic faculty, graduate students and industry professionals working in the fields of mathematical modelling and control, ground vehicles, mobile air defence systems and other related topics.
Dynamics Of Mechanical Systems With Variable Mass
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Author : Hans Irschik
language : en
Publisher: Springer
Release Date : 2014-10-16
Dynamics Of Mechanical Systems With Variable Mass written by Hans Irschik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-16 with Technology & Engineering categories.
The book presents up-to-date and unifying formulations for treating dynamics of different types of mechanical systems with variable mass. The starting point is overview of the continuum mechanics relations of balance and jump for open systems from which extended Lagrange and Hamiltonian formulations are derived. Corresponding approaches are stated at the level of analytical mechanics with emphasis on systems with a position-dependent mass and at the level of structural mechanics. Special emphasis is laid upon axially moving structures like belts and chains and on pipes with an axial flow of fluid. Constitutive relations in the dynamics of systems with variable mass are studied with particular reference to modeling of multi-component mixtures. The dynamics of machines with a variable mass are treated in detail and conservation laws and the stability of motion will be analyzed. Novel finite element formulations for open systems in coupled fluid and structural dynamics are presented.
Mechanics Of Structural Elements
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Author : Vladimir Slivker
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-18
Mechanics Of Structural Elements written by Vladimir Slivker 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 2006-12-18 with Technology & Engineering categories.
The book systematically presents variational principles and methods of analysis for applied elasticity and structural mechanics. The variational approach is used consistently for both, constructing numerical procedures and deriving basic governing equations of applied mechanics of solids; it is the derivation of equations where this approach is most powerful and best grounded by mathematics.
Energy Principles And Variational Methods In Applied Mechanics
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Author : J. N. Reddy
language : en
Publisher: John Wiley & Sons
Release Date : 2017-07-21
Energy Principles And Variational Methods In Applied Mechanics written by J. N. Reddy 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 2017-07-21 with Technology & Engineering categories.
A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates. It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method. Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates. Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.