Non Classical Problems In The Theory Of Elastic Stability
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Non Classical Problems In The Theory Of Elastic Stability
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Author : Isaac Elishakoff
language : en
Publisher: Cambridge University Press
Release Date : 2001-01-29
Non Classical Problems In The Theory Of Elastic Stability written by Isaac Elishakoff 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 2001-01-29 with Mathematics categories.
When a structure is put under an increasing compressive load, it becomes unstable and buckling occurs. Buckling is a particularly significant concern in designing shell structures such as aircraft, automobiles, ships, or bridges. This book discusses stability analysis and buckling problems and offers practical tools for dealing with uncertainties that exist in real systems. The techniques are based on two complementary theories which are developed in the text. First, the probabilistic theory of stability is presented, with particular emphasis on reliability. Both theoretical and computational issues are discussed. Secondly, the authors present the alternative to probability based on the notion of 'anti-optimization', a theory that is valid when the necessary information for probabilistic analysis is absent, that is, when only scant data are available. Design engineers, researchers, and graduate students in aerospace, mechanical, marine, and civil engineering who are concerned with issues of structural integrity will find this book a useful reference source.
Stability Theory Of Elastic Rods
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Author : Teodor M. Atanackovic
language : en
Publisher: World Scientific
Release Date : 1997
Stability Theory Of Elastic Rods written by Teodor M. Atanackovic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Technology & Engineering categories.
This book treats stability problems of equilibrium states of elastic rods. Euler energy and dynamical methods of stability analysis are introduced and stability criteria for each method is developed. Stability analysis is accompanied by a number of classical conservative and non-conservative, two- and three-dimensional problems. Some problems are treated by all three methods. Many generalized versions of known problems are presented (heavy vertical rod, rotating rod, Greenhill's problem, Beck's column, Pflger's rod, strongest column, etc.). The generalizations consist in using either a generalized form of constitutive equations or a more general form of loading, or both. Special attention is paid to the influence of shear stresses and axis compressibility on the value of the critical load. Variational methods are applied to obtain estimates of the critical load and maximal deflection in the post-critical state, in a selected number of examples.
Nonlinear Vibrations And Stability Of Shells And Plates
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Author : Marco Amabili
language : en
Publisher: Cambridge University Press
Release Date : 2008-01-14
Nonlinear Vibrations And Stability Of Shells And Plates written by Marco Amabili 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 2008-01-14 with Science categories.
This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.
Multifaceted Uncertainty Quantification
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Author : Isaac Elishakoff
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-09-23
Multifaceted Uncertainty Quantification written by Isaac Elishakoff and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-23 with Technology & Engineering categories.
The book exposes three alternative and competing approaches to uncertainty analysis in engineering. It is composed of some essays on various sub-topics like random vibrations, probabilistic reliability, fuzzy-sets-based analysis, unknown-but-bounded variables, stochastic linearization, possible difficulties with stochastic analysis of structures.
Imperfect Bifurcation In Structures And Materials
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Author : Kiyohiro Ikeda
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Imperfect Bifurcation In Structures And Materials written by Kiyohiro Ikeda 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 2013-03-09 with Science categories.
Many physical systems lose or gain stability and pattern through bifurca tion behavior. Extensive research of this behavior is carried out in many fields of science and engineering. The study of dynamic bifurcation be havior, for example, has made clear the mechanism of dynamic instability and chaos. The group-theoretic bifurcation theory is an established means to deal with the formation and selection of patterns in association with symmetry-breaking bifurcation. Since all physical systems are "imperfect," in that they inevitably involve some initial imperfections, the study of im perfect bifurcation (bifurcation of imperfect systems) has drawn a keen mathematical interest to yield a series of important results, such as the universal unfolding. In structural mechanics, bifurcation behavior has been studied to model the buckling and failure of structural systems. The sharp reduction of the strength of structural systems by initial imperfections is formulated as im perfection sensitivity laws. A series of statistical studies has been conducted to make clear the dependence of the strength of structures on the statis tical variation of initial imperfections. A difficulty in these studies arises from the presence of a large number of initial imperfections. At this state, most of these studies are carried out based on the Monte Carlo simulation for a number of initial imperfections, or, on an imperfection sensitivity law against a single initial imperfection.
Nonlinear Mechanics Of Shells And Plates In Composite Soft And Biological Materials
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Author : Marco Amabili
language : en
Publisher: Cambridge University Press
Release Date : 2018-11
Nonlinear Mechanics Of Shells And Plates In Composite Soft And Biological Materials written by Marco Amabili 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 2018-11 with Mathematics categories.
This book guides the reader into the modelling of shell structures in applications where advanced composite materials or complex biological materials must be described with great accuracy. A valuable resource for researchers, professionals and graduate students, it presents a variety of practical concepts, diagrams and numerical results.
Modelling Emergency Situations In The Drilling Of Deep Boreholes
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Author : Sergii Glazunov
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2019-10-31
Modelling Emergency Situations In The Drilling Of Deep Boreholes written by Sergii Glazunov and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-31 with Mathematics categories.
The era of easily acquiring oil and gas is over. Now, to extract these resources, deep vertical and curvilinear, off-shore and ground-based boreholes are drilled in inclement climate conditions and in complex heterogeneous tectonic rocks. Additional novelties have also been assimilated into these technologies by the shale revolution. The techniques and methods of borehole drivage are developing so fast that scientific understanding and substantiation have no time to refine them. Therefore, as a rule, different unpredictable emergency effects and overall failures accompany these procedures. The gravest of these are buckling of the drill strings, their resonant vibrations, their sticking during dragging and twisting, the self-triggering of torsional relaxation vibration, and the self-excitation of forward, backward, and superfast bit whirlings. To analyse these phenomena, this volume elaborates new mathematic models and numerical methods. On the basis of these, a special software was created, which allowed new results concerning the peculiarities of the affected phenomena to be achieved. The book will be of interest to borehole designers and specialists in mechanics and applied mathematics.
Eight Non Classical Problems Of Fracture Mechanics
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Author : Aleksander N. Guz
language : en
Publisher: Springer Nature
Release Date : 2021-08-08
Eight Non Classical Problems Of Fracture Mechanics written by Aleksander N. Guz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-08 with Technology & Engineering categories.
This book presents an analysis of eight non-classical problems of fracture and failure mechanics mainly obtained by research in the department of dynamics and stability of continuum of the S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine (NAS of Ukraine). It focusses on the application of the 3D (three-dimensional) theories of stability, dynamics, and statics of solid mechanics to the investigation of non-classical problems of fracture and failure mechanics.
Modern Trends In Structural And Solid Mechanics 3
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Author : Noel Challamel
language : en
Publisher: John Wiley & Sons
Release Date : 2021-06-29
Modern Trends In Structural And Solid Mechanics 3 written by Noel Challamel 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 2021-06-29 with Science categories.
This book comprised of three separate volumes presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This third volume is devoted to non-deterministic mechanics. Modern Trends in Structural and Solid Mechanics 3 has broad scope, covering topics such: design optimization under uncertainty, interval field approaches, convex analysis, quantum inspired topology optimization and stochastic dynamics. The book is illustrated by many applications in the field of aerospace engineering, mechanical engineering, civil engineering, biomedical engineering and automotive engineering. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.
Modern Trends In Structural And Solid Mechanics 1
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Author : Noel Challamel
language : en
Publisher: John Wiley & Sons
Release Date : 2021-06-08
Modern Trends In Structural And Solid Mechanics 1 written by Noel Challamel 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 2021-06-08 with Science categories.
This book - comprised of three separate volumes - presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.