Analysis Of Geometrically Nonlinear Structures

Author : Robert Levy,William R. Spillers
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 41,5 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9789401702430

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Analysis of Geometrically Nonlinear Structures by Robert Levy,William R. Spillers Pdf

The availability of computers has, in real terms, moved forward the practice of structural engineering. Where it was once enough to have any analysis given a complex configuration, the profession today is much more demanding. How engineers should be more demanding is the subject of this book. In terms of the theory of structures, the importance of geometric nonlinearities is explained by the theorem which states that "In the presence of prestress, geometric nonlinearities are of the same order of magnitude as linear elastic effects in structures. " This theorem implies that in most cases (in all cases of incremental analysis) geometric nonlinearities should be considered. And it is well known that problems of buckling, cable nets, fabric structures, ... REQUIRE the inclusion of geometric nonlinearities. What is offered in the book which follows is a unified approach (for both discrete and continuous systems) to geometric nonlinearities which incidentally does not require a discussion of large strain. What makes this all work is perturbation theory. Let the equations of equilibrium for a system be written as where P represents the applied loads, F represents the member forces or stresses, and N represents the operator which describes system equilibrium.

Author : Muthukrishnan Sathyamoorthy
Publisher : CRC Press
Page : 548 pages
File Size : 49,5 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 : Wilhelm Rust
Publisher : Springer
Page : 363 pages
File Size : 54,5 Mb
Release : 2015-02-18
Category : Science
ISBN : 9783319133805

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Non-Linear Finite Element Analysis in Structural Mechanics by Wilhelm Rust Pdf

This monograph describes the numerical analysis of non-linearities in structural mechanics, i.e. large rotations, large strain (geometric non-linearities), non-linear material behaviour, in particular elasto-plasticity as well as time-dependent behaviour, and contact. Based on that, the book treats stability problems and limit-load analyses, as well as non-linear equations of a large number of variables. Moreover, the author presents a wide range of problem sets and their solutions. The target audience primarily comprises advanced undergraduate and graduate students of mechanical and civil engineering, but the book may also be beneficial for practising engineers in industry.

Author : Anthony N. Palazotto
Publisher : AIAA
Page : 278 pages
File Size : 46,8 Mb
Release : 1992
Category : Composite construction
ISBN : 1600860915

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Nonlinear Analysis of Shell Structures by Anthony N. Palazotto Pdf

Author : Vera Galishnikova
Publisher : Unknown
Page : 382 pages
File Size : 41,5 Mb
Release : 2009
Category : Elasticity
ISBN : 1920109994

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Geometrically Nonlinear Analysis of Plane Trusses and Frames by Vera Galishnikova Pdf

Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
Page : 106 pages
File Size : 40,5 Mb
Release : 2018-07-17
Category : Electronic
ISBN : 1723091162

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Geometrically Nonlinear Analysis of Laminated Elastic Structures by National Aeronautics and Space Administration (NASA) Pdf

This final technical report contains three parts: Part 1 deals with the 2-D shell theory and its element formulation and applications. Part 2 deals with the 3-D degenerated element. These two parts constitute the two major tasks that were completed under the grant. Another related topic that was initiated during the present investigation is the development of a nonlinear material model. This topic is briefly discussed in Part 3. To make each part self-contained, conclusions and references are included in each part. In the interest of brevity, the discussions presented are relatively brief. The details and additional topics are described in the references cited. Reddy, J. N. and Chandrashekhara, K. and Chao, W. C. Unspecified Center ELASTIC PLATES; ELASTIC SHELLS; FINITE ELEMENT METHOD; LAMINATES; NONLINEAR SYSTEMS; SHELL THEORY; BENDING; STRESS-STRAIN RELATIONSHIPS; STRUCTURAL ANALYSIS; STRUCTURAL VIBRATION...

Author : Gang Li,Kevin Wong
Publisher : John Wiley & Sons
Page : 372 pages
File Size : 54,7 Mb
Release : 2014-06-23
Category : Technology & Engineering
ISBN : 9781118718063

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Theory of Nonlinear Structural Analysis by Gang Li,Kevin Wong Pdf

A comprehensive book focusing on the Force Analogy Method, a novel method for nonlinear dynamic analysis and simulation This book focusses on the Force Analogy Method, a novel method for nonlinear dynamic analysis and simulation. A review of the current nonlinear analysis method for earthquake engineering will be summarized and explained. Additionally, how the force analogy method can be used in nonlinear static analysis will be discussed through several nonlinear static examples. The emphasis of this book is to extend and develop the force analogy method to performing dynamic analysis on structures under earthquake excitations, where the force analogy method is incorporated in the flexural element, axial element, shearing element and so on will be exhibited. Moreover, the geometric nonlinearity into nonlinear dynamic analysis algorithm based on the force analogy method is included. The application of the force analogy method in seismic design for buildings and structural control area is discussed and combined with practical engineering.

Author : Ali H. Nayfeh,P. Frank Pai
Publisher : John Wiley & Sons
Page : 763 pages
File Size : 45,9 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527617579

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Linear and Nonlinear Structural Mechanics by Ali H. Nayfeh,P. Frank Pai Pdf

* Explains the physical meaning of linear and nonlinear structural mechanics. * Shows how to perform nonlinear structural analysis. * Points out important nonlinear structural dynamics behaviors. * Provides ready-to-use governing equations.

Author : Stephen Anthony Rizzi
Publisher : DIANE Publishing
Page : 39 pages
File Size : 40,7 Mb
Release : 2002
Category : Finite element method
ISBN : 9781428995437

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Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes by Stephen Anthony Rizzi Pdf

Author : Erasmo Carrera,Gaetano Giunta,Marco Petrolo
Publisher : John Wiley & Sons
Page : 171 pages
File Size : 48,7 Mb
Release : 2011-07-28
Category : Science
ISBN : 9781119951049

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Beam Structures by Erasmo Carrera,Gaetano Giunta,Marco Petrolo Pdf

Beam theories are exploited worldwide to analyze civil, mechanical, automotive, and aerospace structures. Many beam approaches have been proposed during the last centuries by eminent scientists such as Euler, Bernoulli, Navier, Timoshenko, Vlasov, etc. Most of these models are problem dependent: they provide reliable results for a given problem, for instance a given section and cannot be applied to a different one. Beam Structures: Classical and Advanced Theories proposes a new original unified approach to beam theory that includes practically all classical and advanced models for beams and which has become established and recognised globally as the most important contribution to the field in the last quarter of a century. The Carrera Unified Formulation (CUF) has hierarchical properties, that is, the error can be reduced by increasing the number of the unknown variables. This formulation is extremely suitable for computer implementations and can deal with most typical engineering challenges. It overcomes the problem of classical formulae that require different formulas for tension, bending, shear and torsion; it can be applied to any beam geometries and loading conditions, reaching a high level of accuracy with low computational cost, and can tackle problems that in most cases are solved by employing plate/shell and 3D formulations. Key features: compares classical and modern approaches to beam theory, including classical well-known results related to Euler-Bernoulli and Timoshenko beam theories pays particular attention to typical applications related to bridge structures, aircraft wings, helicopters and propeller blades provides a number of numerical examples including typical Aerospace and Civil Engineering problems proposes many benchmark assessments to help the reader implement the CUF if they wish to do so accompanied by a companion website hosting dedicated software MUL2 that is used to obtain the numerical solutions in the book, allowing the reader to reproduce the examples given in the book as well as to solve other problems of their own www.mul2.com Researchers of continuum mechanics of solids and structures and structural analysts in industry will find this book extremely insightful. It will also be of great interest to graduate and postgraduate students of mechanical, civil and aerospace engineering.

Author : Yeong-Bin Yang,Shyh-Rong Kuo
Publisher : Prentice Hall PTR
Page : 0 pages
File Size : 51,8 Mb
Release : 1994
Category : Elastic analysis (Engineering)
ISBN : 0131092243

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Theory & Analysis of Nonlinear Framed Structures by Yeong-Bin Yang,Shyh-Rong Kuo Pdf

Any nonlinear theories or finite elements have to be tested before they can be put into practice. Using the rigid body concept, this book provides simple rules for examining the validity of nonlinear theories and finite elements derived for structural members. The rules can be applied as well to testing the consistency of existing theories or computer analysis programs for nonlinear structures. Covers linear analysis and element quality test; nonlinear trusses and incremental constitutive laws; nonlinear analysis of planar frames; fundamentals of nonlinear theory of space frames; stiffness matrices for nonlinear analysis of space frames; theory and analysis on buckling of curved beams; and procedures for geometric nonlinear analysis. Provides numerous examples containing both analytical and numerical solutions. For mechanical, civil, and aerospace engineers.

Author : Gaetan Kerschen,Matthew R.W. Brake,Ludovic Renson
Publisher : Unknown
Page : 0 pages
File Size : 43,7 Mb
Release : 2022
Category : Electronic
ISBN : 3030771369

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Nonlinear Structures & Systems, Volume 1 by Gaetan Kerschen,Matthew R.W. Brake,Ludovic Renson Pdf

Nonlinear Structures & Systems, Volume 1: Proceedings of the 39th IMAC, A Conference and Exposition on Structural Dynamics, 2021, the first volume of nine from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Nonlinear Dynamics, including papers on: Nonlinear Reduced-order Modeling Jointed Structures: Identification, Mechanics, Dynamics Experimental Nonlinear Dynamics Nonlinear Model & Modal Interactions Nonlinear Damping Nonlinear Modeling & Simulation Nonlinearity & System Identification.

Author : Yoav Benyamini,Joram Lindenstrauss
Publisher : American Mathematical Soc.
Page : 503 pages
File Size : 45,7 Mb
Release : 2000
Category : Nonlinear functional analysis
ISBN : 9780821808351

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Geometric Nonlinear Functional Analysis by Yoav Benyamini,Joram Lindenstrauss Pdf

A systematic study of geometric nonlinear functional analysis. The main theme is the study of uniformly continuous and Lipschitz functions between Banach spaces. This study leads to the classification of Banach spaces and of their important subsets in the uniform and Lipschitz categories.

Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
Page : 226 pages
File Size : 50,6 Mb
Release : 2018-07-23
Category : Electronic
ISBN : 1723499633

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A Method for the Geometrically Nonlinear Analysis of Compressively Loaded Prismatic Composite Structures by National Aeronautics and Space Administration (NASA) Pdf

A method was developed for the geometrically nonlinear analysis of the static response of thin-walled stiffened composite structures loaded in uniaxial or biaxial compression. The method is applicable to arbitrary prismatic configurations composed of linked plate strips, such as stiffened panels and thin-walled columns. The longitudinal ends of the structure are assumed to be simply supported, and geometric shape imperfections can be modeled. The method can predict the nonlinear phenomena of postbuckling strength and imperfection sensitivity which are exhibited by some buckling-dominated structures. The method is computer-based and is semi-analytic in nature, making it computationally economical in comparison to finite element methods. The method uses a perturbation approach based on the use of a series of buckling mode shapes to represent displacement contributions associated with nonlinear response. Displacement contributions which are of second order in the model amplitudes are incorported in addition to the buckling mode shapes. The principle of virtual work is applied using a finite basis of buckling modes, and terms through the third order in the model amplitudes are retained. A set of cubic nonlinear algebraic equations are obtained, from which approximate equilibrium solutions are determined. Buckling mode shapes for the general class of structure are obtained using the VIPASA analysis code within the PASCO stiffened-panel design code. Thus, subject to some additional restrictions in loading and plate anisotropy, structures which can be modeled with respect to buckling behavior by VIPASA can be analyzed with respect to nonlinear response using the new method. Results obtained using the method are compared with both experimental and analytical results in the literature. The configurations investigated include several different unstiffened and blade-stiffening panel configurations, featuring both homogeneous, isotropic materials, and laminated composite materi...

Author : Harry Armen
Publisher : Unknown
Page : 140 pages
File Size : 54,6 Mb
Release : 1974
Category : Nonlinear theories
ISBN : UIUC:30112106734236

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Nonlinear Analysis of Structures by Harry Armen Pdf