Dynamics Of Thin Walled Elastic Bodies

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Dynamics of Thin Walled Elastic Bodies

J. D. Kaplunov,L. Yu Kossovitch,E. V. Nolde
Dynamics of Thin Walled Elastic Bodies Book PDF

Author : J. D. Kaplunov,L. Yu Kossovitch,E. V. Nolde
Publisher : Elsevier
Page : 226 pages
File Size : 55,8 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780080504865

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Dynamics of Thin Walled Elastic Bodies by J. D. Kaplunov,L. Yu Kossovitch,E. V. Nolde Pdf

Written by a well-known group of researchers from Moscow, this book is a study of the asymptotic approximations of the 3-D dynamical equations of elasticity in the case of thin elastic shells of an arbitrary shape. Vibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domains. Dynamics of Thin Walled Elastic Bodies shows that refined shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells, and offers new, mathematically more consistent ways of describing the dynamics of shells. Studies the asymptotic approximations of the 3-D dynamical equations of elasticity Vibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domains Shows that refined shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells Offers new, mathematically more consistent ways of describing the dynamics of shells

Localized Dynamics of Thin-Walled Shells

Gennadi I. Mikhasev,Petr E. Tovstik
Localized Dynamics of Thin Walled Shells Book PDF

Author : Gennadi I. Mikhasev,Petr E. Tovstik
Publisher : CRC Press
Page : 220 pages
File Size : 50,9 Mb
Release : 2020-04-17
Category : Mathematics
ISBN : 9781351630689

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Localized Dynamics of Thin-Walled Shells by Gennadi I. Mikhasev,Petr E. Tovstik Pdf

Localized Dynamics of Thin-Walled Shells focuses on localized vibrations and waves in thin-walled structures with variable geometrical and physical characteristics. It emphasizes novel asymptotic methods for solving boundary-value problems for dynamic equations in the shell theory, in the form of functions which are highly localized near both fixed and moving lines/points on the shell surface. Features First-of-its-kind work, synthesizing knowledge of the localization of vibrations and waves in thin-walled shells with a mathematical tool to study them Suitable for researchers working on the dynamics of thin shells and also as supplementary reading for undergraduates studying asymptotic methods Offers detailed analysis of wave processes in shells with varying geometric and physical parameters

Asymptotical Mechanics of Thin-Walled Structures

Igor V. Andrianov,Jan Awrejcewicz,Leonid I. Manevitch
Asymptotical Mechanics of Thin Walled Structures Book PDF

Author : Igor V. Andrianov,Jan Awrejcewicz,Leonid I. Manevitch
Publisher : Springer Science & Business Media
Page : 527 pages
File Size : 44,8 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783540452461

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Asymptotical Mechanics of Thin-Walled Structures by Igor V. Andrianov,Jan Awrejcewicz,Leonid I. Manevitch Pdf

In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and their applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.

Nonlinear Mechanics of Thin-Walled Structures

Yury Vetyukov
Nonlinear Mechanics of Thin Walled Structures Book PDF

Author : Yury Vetyukov
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 42,8 Mb
Release : 2014-01-23
Category : Science
ISBN : 9783709117774

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Nonlinear Mechanics of Thin-Walled Structures by Yury Vetyukov Pdf

This book presents a hybrid approach to the mechanics of thin bodies. Classical theories of rods, plates and shells with constrained shear are based on asymptotic splitting of the equations and boundary conditions of three-dimensional elasticity. The asymptotic solutions become accurate as the thickness decreases, and the three-dimensional fields of stresses and displacements can be determined. The analysis includes practically important effects of electromechanical coupling and material inhomogeneity. The extension to the geometrically nonlinear range uses the direct approach based on the principle of virtual work. Vibrations and buckling of pre-stressed structures are studied with the help of linearized incremental formulations, and direct tensor calculus rounds out the list of analytical techniques used throughout the book. A novel theory of thin-walled rods of open profile is subsequently developed from the models of rods and shells, and traditionally applied equations are proven to be asymptotically exact. The influence of pre-stresses on the torsional stiffness is shown to be crucial for buckling analysis. Novel finite element schemes for classical rod and shell structures are presented with a comprehensive discussion regarding the theoretical basis, computational aspects and implementation details. Analytical conclusions and closed-form solutions of particular problems are validated against numerical results. The majority of the simulations were performed in the Wolfram Mathematica environment, and the compact source code is provided as a substantial and integral part of the book.

Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members

Jan Awrejcewicz,Vadim A. Krysko
Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members Book PDF

Author : Jan Awrejcewicz,Vadim A. Krysko
Publisher : Springer Nature
Page : 615 pages
File Size : 52,8 Mb
Release : 2020-04-06
Category : Science
ISBN : 9783030376635

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Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members by Jan Awrejcewicz,Vadim A. Krysko Pdf

From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Recent Approaches in the Theory of Plates and Plate-Like Structures

Holm Altenbach,Svetlana Bauer,Victor A. Eremeyev,Gennadi I. Mikhasev,Nikita F. Morozov
Recent Approaches in the Theory of Plates and Plate Like Structures Book PDF

Author : Holm Altenbach,Svetlana Bauer,Victor A. Eremeyev,Gennadi I. Mikhasev,Nikita F. Morozov
Publisher : Springer Nature
Page : 326 pages
File Size : 51,6 Mb
Release : 2022-01-01
Category : Technology & Engineering
ISBN : 9783030871857

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Recent Approaches in the Theory of Plates and Plate-Like Structures by Holm Altenbach,Svetlana Bauer,Victor A. Eremeyev,Gennadi I. Mikhasev,Nikita F. Morozov Pdf

This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.

Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells

Jan Awrejcewicz,Vadim A. Krysko
Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells Book PDF

Author : Jan Awrejcewicz,Vadim A. Krysko
Publisher : Springer Science & Business Media
Page : 432 pages
File Size : 46,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642556777

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Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells by Jan Awrejcewicz,Vadim A. Krysko Pdf

From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Mechanics of Heterogeneous Materials

Holm Altenbach,Giovanni Bruno,Victor A. Eremeyev,Mikhail Yu. Gutkin,Wolfgang H. Müller
Mechanics of Heterogeneous Materials Book PDF

Author : Holm Altenbach,Giovanni Bruno,Victor A. Eremeyev,Mikhail Yu. Gutkin,Wolfgang H. Müller
Publisher : Springer Nature
Page : 533 pages
File Size : 47,9 Mb
Release : 2023-07-12
Category : Technology & Engineering
ISBN : 9783031287442

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Mechanics of Heterogeneous Materials by Holm Altenbach,Giovanni Bruno,Victor A. Eremeyev,Mikhail Yu. Gutkin,Wolfgang H. Müller Pdf

This book is published on dedication of Prof. Dr. Igor Sevostianov who passed away in 2021. He was a great Russian-American scientist who made significant contributions in the field of mechanics of heterogeneous media. This book contains research papers from his friends and colleagues in this research field.

Multiscale Solid Mechanics

Holm Altenbach,Victor A. Eremeyev,Leonid A. Igumnov
Multiscale Solid Mechanics Book PDF

Author : Holm Altenbach,Victor A. Eremeyev,Leonid A. Igumnov
Publisher : Springer Nature
Page : 509 pages
File Size : 43,9 Mb
Release : 2020-11-09
Category : Science
ISBN : 9783030549282

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Multiscale Solid Mechanics by Holm Altenbach,Victor A. Eremeyev,Leonid A. Igumnov Pdf

This book provides an overview of the current of the state of the art in the multiscale mechanics of solids and structures. It comprehensively discusses new materials, including theoretical and experimental investigations their durability and strength, as well as fractures and damage

Localized Dynamics of Thin-Walled Shells

Gennadi I. Mikhasev,Petr E. Tovstik
Localized Dynamics of Thin Walled Shells Book PDF

Author : Gennadi I. Mikhasev,Petr E. Tovstik
Publisher : CRC Press
Page : 350 pages
File Size : 43,8 Mb
Release : 2020-04-21
Category : Mathematics
ISBN : 9781351630696

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Localized Dynamics of Thin-Walled Shells by Gennadi I. Mikhasev,Petr E. Tovstik Pdf

Localized Dynamics of Thin-Walled Shells focuses on localized vibrations and waves in thin-walled structures with variable geometrical and physical characteristics. It emphasizes novel asymptotic methods for solving boundary-value problems for dynamic equations in the shell theory, in the form of functions which are highly localized near both fixed and moving lines/points on the shell surface. Features First-of-its-kind work, synthesizing knowledge of the localization of vibrations and waves in thin-walled shells with a mathematical tool to study them Suitable for researchers working on the dynamics of thin shells and also as supplementary reading for undergraduates studying asymptotic methods Offers detailed analysis of wave processes in shells with varying geometric and physical parameters

Theories of Plates and Shells

Reinhold Kienzler,Holm Altenbach,Ingrid Ott
Theories of Plates and Shells Book PDF

Author : Reinhold Kienzler,Holm Altenbach,Ingrid Ott
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 54,6 Mb
Release : 2013-06-01
Category : Science
ISBN : 9783540399056

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Theories of Plates and Shells by Reinhold Kienzler,Holm Altenbach,Ingrid Ott Pdf

Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.

Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories

Isaac E Elishakoff
Handbook On Timoshenko ehrenfest Beam And Uflyand Mindlin Plate Theories Book PDF

Author : Isaac E Elishakoff
Publisher : World Scientific
Page : 798 pages
File Size : 55,6 Mb
Release : 2019-10-29
Category : Technology & Engineering
ISBN : 9789813236530

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Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories by Isaac E Elishakoff Pdf

The refined theory of beams, which takes into account both rotary inertia and shear deformation, was developed jointly by Timoshenko and Ehrenfest in the years 1911-1912. In over a century since the theory was first articulated, tens of thousands of studies have been performed utilizing this theory in various contexts. Likewise, the generalization of the Timoshenko-Ehrenfest beam theory to plates was given by Uflyand and Mindlin in the years 1948-1951.The importance of these theories stems from the fact that beams and plates are indispensable, and are often occurring elements of every civil, mechanical, ocean, and aerospace structure.Despite a long history and many papers, there is not a single book that summarizes these two celebrated theories. This book is dedicated to closing the existing gap within the literature. It also deals extensively with several controversial topics, namely those of priority, the so-called 'second spectrum' shear coefficient, and other issues, and shows vividly that the above beam and plate theories are unnecessarily overcomplicated.In the spirit of Einstein's dictum, 'Everything should be made as simple as possible but not simpler,' this book works to clarify both the Timoshenko-Ehrenfest beam and Uflyand-Mindlin plate theories, and seeks to articulate everything in the simplest possible language, including their numerous applications.This book is addressed to graduate students, practicing engineers, researchers in their early career, and active scientists who may want to have a different look at the above theories, as well as readers at all levels of their academic or scientific career who want to know the history of the subject. The Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories are the key reference works in the study of stocky beams and thick plates that should be given their due and remain important for generations to come, since classical Bernoulli-Euler beam and Kirchhoff-Love theories are applicable for slender beams and thin plates, respectively.Related Link(s)

Advances in Mechanical Engineering

Alexander N. Evgrafov
Advances in Mechanical Engineering Book PDF

Author : Alexander N. Evgrafov
Publisher : Springer Nature
Page : 223 pages
File Size : 55,6 Mb
Release : 2023-04-21
Category : Technology & Engineering
ISBN : 9783031300271

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Advances in Mechanical Engineering by Alexander N. Evgrafov Pdf

This book draws together the most interesting recent results to emerge in mechanical engineering in Russia, providing a fascinating overview of the state of the art in the field in that country which will be of interest to a wide readership. A broad range of topics and issues in modern engineering is discussed, including dynamics of machines, materials engineering, structural strength and tribological behavior, transport technologies, machinery quality and innovations. The book comprises selected papers presented at the 11th conference “Modern Engineering: Science and Education”, held at the Saint Petersburg State Polytechnic University in June 2022 with the support of the Russian Engineering Union. The authors are experts in various fields of engineering, and all of the papers have been carefully reviewed. The book is of interest to mechanical engineers, lecturers in engineering disciplines and engineering graduates.

Advances in Solid and Fracture Mechanics

Holm Altenbach,Svetlana M. Bauer,Alexander K. Belyaev,Dmitri A. Indeitsev,Valery P. Matveenko,Yuri V. Petrov
Advances in Solid and Fracture Mechanics Book PDF

Author : Holm Altenbach,Svetlana M. Bauer,Alexander K. Belyaev,Dmitri A. Indeitsev,Valery P. Matveenko,Yuri V. Petrov
Publisher : Springer Nature
Page : 302 pages
File Size : 53,9 Mb
Release : 2022-11-08
Category : Technology & Engineering
ISBN : 9783031183935

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Advances in Solid and Fracture Mechanics by Holm Altenbach,Svetlana M. Bauer,Alexander K. Belyaev,Dmitri A. Indeitsev,Valery P. Matveenko,Yuri V. Petrov Pdf

This book presents a collection of articles reporting the current challenges in solid and fracture mechanics. The book is devoted to the 90th birthday of academician Nikita F. Morozov—a well-known specialist in the field of solid and fracture mechanics.

Modern Trends in Composite Laminates Mechanics

Holm Altenbach,Wilfried Becker
Modern Trends in Composite Laminates Mechanics Book PDF

Author : Holm Altenbach,Wilfried Becker
Publisher : Springer
Page : 302 pages
File Size : 51,9 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709125441

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Modern Trends in Composite Laminates Mechanics by Holm Altenbach,Wilfried Becker Pdf

The aim of the book is to give a clear picture of some new modern trends in composite mechanics and to give a presentation of the current state-of-the-art of the theory and application of composite laminates. The book addresses the basics as well as recent developments in the theory of laminates and their effective properties, the problem of testing and identification of properties, strength, damage, and failure of composite laminates, lightweight construction principles, optimization techniques, the generation of smart structures, and a number of special technical aspects (e.g. stress localization), their modelling and analysis. The intention of the book is to provide deeper understanding, to give mathematical and algorithmic techniques for analysis, simulation and optimization and to link various aspects of composite mechanics as necessary to exploit the full potential that is possible for composite structures.