Geometric Method For Stability Of Non Linear Elastic Thin Shells

Author : Jordanka Ivanova,Franco Pastrone
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 54,9 Mb
Release : 2013-11-27
Category : Science
ISBN : 9781461515111

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Geometric Method for Stability of Non-Linear Elastic Thin Shells by Jordanka Ivanova,Franco Pastrone Pdf

PREFACE This book deals with the new developments and applications of the geometric method to the nonlinear stability problem for thin non-elastic shells. There are no other published books on this subject except the basic ones of A. V. Pogorelov (1966,1967,1986), where variational principles defined over isometric surfaces, are postulated, and applied mainly to static and dynamic problems of elastic isotropic thin shells. A. V. Pogorelov (Harkov, Ukraine) was the first to provide in his monographs the geometric construction of the deformed shell surface in a post-critical stage and deriving explicitely the asymptotic formulas for the upper and lower critical loads. In most cases, these formulas were presented in a closed analytical form, and confirmed by experimental data. The geometric method by Pogorelov is one of the most important analytical methods developed during the last century. Its power consists in its ability to provide a clear geometric picture of the postcritical form of a deformed shell surface, successfully applied to a direct variational approach to the nonlinear shell stability problems. Until now most Pogorelov's monographs were written in Russian, which limited the diffusion of his ideas among the international scientific community. The present book is intended to assist and encourage the researches in this field to apply the geometric method and the related results to everyday engineering practice.

Author : D. Shilkrut,E. Riks
Publisher : Elsevier
Page : 480 pages
File Size : 48,6 Mb
Release : 2002-06-18
Category : Mathematics
ISBN : 008054164X

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Stability of Nonlinear Shells by D. Shilkrut,E. Riks Pdf

Stability of NonLinear Shells is a compilation of the author's work on analyzing the behaviour of spherical caps and related shell structures under various (axisymmetric) load systems. Differing from other texts on shells of revolution, it is one of the first attempts to deal with effects of multi-parameter load systems. This extension leads to the discovery of some new, hitherto unknown phenomena exhibited by these structures. In addition, the book presents a novel way to characterize properties of solutions of the governing equations for spherical caps - a classification anchored in a theory called reciprocal systems. The author has introduced a deformation map, a projection of multi-dimensional solutions to two-dimensional graphs, to enable analysts to gain insight into the physical meaning of the results obtained. Numerous examples illustrate the concepts introduced. This book also comes to grips with many misconceptions existing in engineering literature about the question of the stability of solutions.

Author : Muthukrishnan Sathyamoorthy
Publisher : CRC Press
Page : 548 pages
File Size : 55,7 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351359818

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Nonlinear Analysis of Structures (1997) by Muthukrishnan Sathyamoorthy Pdf

Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.

Author : Anonim
Publisher : Unknown
Page : 592 pages
File Size : 46,5 Mb
Release : 1974
Category : Mechanics, Applied
ISBN : UCAL:C2682446

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Applied Mechanics Reviews by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 1126 pages
File Size : 51,8 Mb
Release : 1987
Category : Aeronautics
ISBN : UIUC:30112075701596

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Scientific and Technical Aerospace Reports by Anonim Pdf

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Author : E.I. Grigolyuk,V.I. Shalashilin
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401137768

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Problems of Nonlinear Deformation by E.I. Grigolyuk,V.I. Shalashilin Pdf

Interest in nonlinear problems in mechanics has been revived and intensified by the capacity of digital computers. Consequently, a question offundamental importance is the development of solution procedures which can be applied to a large class of problems. Nonlinear problems with a parameter constitute one such class. An important aspect of these problems is, as a rule, a question of the variation of the solution when the parameter is varied. Hence, the method of continuing the solution with respect to a parameter is a natural and, to a certain degree, universal tool for analysis. This book includes details of practical problems and the results of applying this method to a certain class of nonlinear problems in the field of deformable solid mechanics. In the Introduction, two forms of the method are presented, namely continu ous continuation, based on the integration of a Cauchy problem with respect to a parameter using explicit schemes, and discrete continuation, implementing step wise processes with respect to a parameter with the iterative improvement of the solution at each step. Difficulties which arise in continuing the solution in the neighbourhood of singular points are discussed and the problem of choosing the continuation parameter is formulated.

Author : Nawari O. Nawari,Michael Kuenstle
Publisher : CRC Press
Page : 412 pages
File Size : 53,6 Mb
Release : 2015-05-01
Category : Technology & Engineering
ISBN : 9781138024823

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Building Information Modeling by Nawari O. Nawari,Michael Kuenstle Pdf

BIM for Structural Engineering and Architecture Building Information Modeling: Framework for Structural Design outlines one of the most promising new developments in architecture, engineering, and construction (AEC). Building information modeling (BIM) is an information management and analysis technology that is changing the role of computation in the architectural and engineering industries. The innovative process constructs a database assembling all of the objects needed to build a specific structure. Instead of using a computer to produce a series of drawings that together describe the building, BIM creates a single illustration representing the building as a whole. This book highlights the BIM technology and explains how it is redefining the structural analysis and design of building structures. BIM as a Framework Enabler This book introduces a new framework—the structure and architecture synergy framework (SAS framework)—that helps develop and enhance the understanding of the fundamental principles of architectural analysis using BIM tools. Based upon three main components: the structural melody, structural poetry, and structural analysis, along with the BIM tools as the frame enabler, this new framework allows users to explore structural design as an art while also factoring in the principles of engineering. The framework stresses the influence structure can play in form generation and in defining spatial order and composition. By highlighting the interplay between architecture and structure, the book emphasizes the conceptual behaviors of structural systems and their aesthetic implications and enables readers to thoroughly understand the art and science of whole structural system concepts. Presents the use of BIM technology as part of a design process or framework that can lead to a more comprehensive, intelligent, and integrated building design Places special emphasis on the application of BIM technology for exploring the intimate relationship between structural engineering and architectural design Includes a discussion of current and emerging trends in structural engineering practice and the role of the structural engineer in building design using new BIM technologies Building Information Modeling: Framework for Structural Design provides a thorough understanding of architectural structures and introduces a new framework that revolutionizes the way building structures are designed and constructed.

Author : Basile Audoly,Yves Pomeau
Publisher : Oxford University Press
Page : 597 pages
File Size : 52,8 Mb
Release : 2010-06-24
Category : Mathematics
ISBN : 9780198506256

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Elasticity and Geometry by Basile Audoly,Yves Pomeau Pdf

We experience elasticity everywhere in everyday life. This book covers several modern aspects of the established field of elasticity theory, applying general methods of classical analysis including advanced nonlinear aspects to derive detailed solutions to specific problems. It can serve as an introduction to nonlinear methods in science.

Author : Jamshid Ghaboussi,David A. Pecknold,Xiping Steven Wu
Publisher : CRC Press
Page : 370 pages
File Size : 49,7 Mb
Release : 2017-07-06
Category : Mathematics
ISBN : 9781498746137

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Nonlinear Computational Solid Mechanics by Jamshid Ghaboussi,David A. Pecknold,Xiping Steven Wu Pdf

This book presents the fundamentals of nonlinear mechanics within a modern computational approach based mainly on finite element methods. Both material and geometric nonlinearities are treated. The topics build up from the mechanics of finite deformation of solid bodies through to nonlinear structural behaviour including buckling, bifurcation and snap-through. The principles are illustrated with a series of solved problems. This book serves as a text book for a second year graduate course and as a reference for practitioners using nonlinear analysis in engineering and design.

Author : Isaac E Elishakoff
Publisher : World Scientific
Page : 352 pages
File Size : 47,7 Mb
Release : 2014-05-29
Category : Technology & Engineering
ISBN : 9789814583558

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Resolution Of The Twentieth Century Conundrum In Elastic Stability by Isaac E Elishakoff Pdf

There have been stability theories developed for beams, plates and shells — the most significant elements in mechanical, aerospace, ocean and marine engineering. For beams and plates, the theoretical and experimental values of buckling loads are in close vicinity. However for thin shells, the experimental predictions do not conform with the theory, due to presence of small geometric imperfections that are deviations from the ideal shape.This fact has been referred to in the literature as ‘embarrassing’, ‘paradoxical’ and ‘perplexing’. Indeed, the popular adage, “In theory there is no difference between theory and practice. In practice there is”, very much applies to thin shells whose experimental buckling loads may constitute a small fraction of the theoretical prediction based on classical linear theory; because in practice, engineers use knockdown factors that are not theoretically substantiated.This book presents a uniform approach that tames this prima-donna-like and capricious behavior of structures that has been dubbed the ‘imperfection sensitivity’ — thus resolving the conundrum that has occupied the best minds of elastic stability throughout the twentieth century.

Author : J.F. Jullien
Publisher : CRC Press
Page : 539 pages
File Size : 46,8 Mb
Release : 1991-09-09
Category : Architecture
ISBN : 9781482286731

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Buckling of Shell Structures, on Land, in the Sea and in the Air by J.F. Jullien Pdf

This book provides better inputs for improvement of the buckling load predictions of stiffened cylindrical shells subjected to combined loading. It is based on the International Colloquium Buckling of shell structures, on land, in the sea and in the air, Lyon, France, 17 September 1991.

Author : W.A. Nash
Publisher : Elsevier
Page : 183 pages
File Size : 40,9 Mb
Release : 1995-10-27
Category : Technology & Engineering
ISBN : 0080534341

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Hydrostatically Loaded Structures by W.A. Nash Pdf

Powered submersibles have enabled the exploration of lake and ocean depths, and are used extensively for inspection of drilling rigs and offshore pipelines. Their potential for the discovery of undersea mineral resources is widely acknowledged. The design of such vehicles poses many problems not encountered with land-based systems: for example, normal pressures are very large, and many structural elements are extremely sensitive to initial geometric imperfections. Following a review of the history and development of submersibles, each chapter concentrates on a specific geometric design. The bibliography is unusually complete, and includes summaries of many referenced publications. This unique book covers all aspects of the structural mechanics, analysis and design of submersibles, and will be invaluable to ocean engineers, naval architects and graduate students entering the field.

Author : Anonim
Publisher : Unknown
Page : 860 pages
File Size : 43,6 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015076649899

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Mathematical Reviews by Anonim Pdf

Author : Wojciech Pietraszkiewicz,Jaroslaw Gorski
Publisher : CRC Press
Page : 600 pages
File Size : 55,6 Mb
Release : 2013-09-18
Category : Technology & Engineering
ISBN : 9781482229080

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Shell Structures: Theory and Applications by Wojciech Pietraszkiewicz,Jaroslaw Gorski Pdf

Shells are basic structural elements of modern technology and everyday life. Examples are automobile bodies, water and oil tanks, pipelines, aircraft fuselages, nanotubes, graphene sheets or beer cans. Also nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes, the double helix of DNA or wings of insects. In the human body arteries, the shell of the eye, the diaphragm, the skin or the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 3 contains 137 contributions presented at the 10th Conference “Shell Structures: Theory and Applications” held October 16-18, 2013 in Gdansk, Poland. The papers cover a wide spectrum of scientific and engineering problems which are divided into seven broad groups: general lectures, theoretical modelling, stability, dynamics, bioshells, numerical analyses, and engineering design. The volume will be of interest to researchers and designers dealing with modelling and analyses of shell structures and thin-walled structural elements.

Author : Yury Vetyukov
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 47,7 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.