Theory of Nonlinear Structural Analysis
Theory of Nonlinear Structural Analysis

Author: Gang Li

Publisher: John Wiley & Sons

Published: 2014-06-23

Total Pages: 372

ISBN-13: 1118718062

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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.

Nonlinear Structural Engineering
Nonlinear Structural Engineering

Author: Demeter G. Fertis

Publisher: Springer Science & Business Media

Published: 2007-05-05

Total Pages: 347

ISBN-13: 3540329765

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This book concentrates on the nonlinear static and dynamic analysis of structures and structural components that are widely used in everyday engineering applications. It presents unique methods for nonlinear problems which permits the correct usage of powerful linear methods. Every topic is thoroughly explained and includes numerical examples. The new concepts, theories and methods introduced simplify the solution of the complex nonlinear problems.

Nonlinear Structural Mechanics
Nonlinear Structural Mechanics

Author: Walter Lacarbonara

Publisher: Springer Science & Business Media

Published: 2013-01-09

Total Pages: 812

ISBN-13: 1441912762

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This book reviews the theoretical framework of nonlinear mechanics, covering computational methods, applications, parametric investigations of nonlinear phenomena and mechanical interpretation towards design. Builds skills via increasing levels of complexity.

Analysis of Geometrically Nonlinear Structures
Analysis of Geometrically Nonlinear Structures

Author: Robert Levy

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 277

ISBN-13: 9401702438

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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.

Structural Dynamics and Static Nonlinear Analysis From Theory to Application
Structural Dynamics and Static Nonlinear Analysis From Theory to Application

Author: Belgasmia, Mourad

Publisher: IGI Global

Published: 2021-01-29

Total Pages: 347

ISBN-13: 1799844005

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Static analysis is a special case of dynamic analysis. The main reason for using static or pseudo-static analysis is the simplicity of the design and the analysis itself. Many structures such as buildings, bridges, dams, ships, airplanes, and more are studied by a dynamic analysis, which is a more complicated and time-consuming analysis compared to a static one; such structures studied in this way are safer and their behavior is closer to reality. Thanks to the important evolution of computer science, numerical methods, and mathematical models, we are boldly confronting the analysis of the most complex structures with huge dimensions, all this in a few hours in order to have an exact behavior of these structures closer to reality through the use of static dynamics and analysis. Structural Dynamics and Static Nonlinear Analysis From Theory to Application is concerned with the challenging subject of structural dynamics and the hydrodynamic principle as well as nonlinear static methods of analysis for seismic design of structures. The chapters are arranged into three parts. The first deals with single-degree of freedom (DOF) systems. The second part concerns systems with multiple degrees of freedom (DOF) with which one can create analytical and mathematical models of the most complex structures, passing through the hydrodynamic principle with an application in real cases. The last part sheds light on the principle of nonlinear static methods and its application in a real case. This book is ideal for academics, researchers, practicing structural engineers, and research students in the fields of civil and/or mechanical engineering along with practitioners interested in structural dynamics, static dynamics and analysis, and real-life applications.

Theory & Analysis of Nonlinear Framed Structures
Theory & Analysis of Nonlinear Framed Structures

Author: Yeong-Bin Yang

Publisher: Prentice Hall PTR

Published: 1994

Total Pages: 0

ISBN-13: 9780131092242

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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.

Nonlinear Analysis of Structures (1997)
Nonlinear Analysis of Structures (1997)

Author: Muthukrishnan Sathyamoorthy

Publisher: CRC Press

Published: 2017-11-22

Total Pages: 640

ISBN-13: 1351359827

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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.

Non-Linear Finite Element Analysis in Structural Mechanics
Non-Linear Finite Element Analysis in Structural Mechanics

Author: Wilhelm Rust

Publisher: Springer

Published: 2015-02-18

Total Pages: 367

ISBN-13: 3319133802

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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.

Theory of Matrix Structural Analysis
Theory of Matrix Structural Analysis

Author: J. S. Przemieniecki

Publisher: Courier Corporation

Published: 1985-01-01

Total Pages: 502

ISBN-13: 9780486649481

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This classic text begins with an overview of matrix methods and their application to the structural design of modern aircraft and aerospace vehicles. Subsequent chapters cover basic equations of elasticity, energy theorems, structural idealization, a comparison of force and displacement methods, analysis of substructures, structural synthesis, nonlinear structural analysis, and other topics. 1968 edition.

Introduction to Nonlinear Finite Element Analysis
Introduction to Nonlinear Finite Element Analysis

Author: Nam-Ho Kim

Publisher: Springer Science & Business Media

Published: 2014-11-21

Total Pages: 444

ISBN-13: 1441917462

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This book introduces the key concepts of nonlinear finite element analysis procedures. The book explains the fundamental theories of the field and provides instructions on how to apply the concepts to solving practical engineering problems. Instead of covering many nonlinear problems, the book focuses on three representative problems: nonlinear elasticity, elastoplasticity, and contact problems. The book is written independent of any particular software, but tutorials and examples using four commercial programs are included as appendices: ANSYS, NASTRAN, ABAQUS, and MATLAB. In particular, the MATLAB program includes all source codes so that students can develop their own material models, or different algorithms. Please visit the author's website for supplemental material, including PowerPoint presentations and MATLAB codes, at http://www2.mae.ufl.edu/nkim/INFEM/