Elastic Postbuckling Analysis Of Structural Systems
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Elastic Postbuckling Analysis Of Structural Systems
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Author : Arul Jayachandran
language : en
Publisher: Springer Nature
Release Date : 2025-07-27
Elastic Postbuckling Analysis Of Structural Systems written by Arul Jayachandran and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-27 with Mathematics categories.
This book presents a unified computational approach to postbuckling stability analysis of structures using the Total Potential Energy (TPE) framework. It builds upon the secant matrix technique (N1-N2 method) and introduces the Variable Order Secant Matrix (VoSM) method, providing a robust framework for analyzing reticulated, framed, continuum, and thin-walled systems under large deformations. The book derives the geometric nonlinear finite element formulations using Total Lagrangian (TL) and co-rotational TL formats, ensuring accurate postbuckling analysis. It includes benchmark problems and numerical case studies, making it a valuable resource for graduate students, researchers, and faculty involved in structural stability and advanced postbuckling investigations. Additionally, it serves as an indispensable reference for analyzing and designing steel structures.
Buckling And Postbuckling Of Beams Plates And Shells
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Author : M. Reza Eslami
language : en
Publisher: Springer
Release Date : 2018-05-24
Buckling And Postbuckling Of Beams Plates And Shells written by M. Reza Eslami and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-24 with Science categories.
This book contains eight chapters treating the stability of all major areas of the flexural theory. It covers the stability of structures under mechanical and thermal loads and all areas of structural, loading and material types. The structural element may be assumed to be made of a homogeneous/isotropic material, or of a functionally graded material. Structures may experience the bifurcation phenomenon, or they may follow the postbuckling path. This volume explains all these aspects in detail. The book is self-contained and the necessary mathematical concepts and numerical methods are presented in such a way that the reader may easily follow the topics based on these basic tools. It is intended for people working or interested in areas of structural stability under mechanical and/or thermal loads. Some basic knowledge in classical mechanics and theory of elasticity is required.
Stability Bifurcation And Postcritical Behaviour Of Elastic Structures
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Author : M. Pignataro
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Stability Bifurcation And Postcritical Behaviour Of Elastic Structures written by M. Pignataro and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Technology & Engineering categories.
A comprehensive and systematic analysis of elastic structural stability is presented in this volume. Traditional engineering buckling concepts are discussed in the framework of the Liapunov theory of stability by giving an extensive review of the Koiter approach. The perturbation method for both nonlinear algebraic and differential equations is discussed and adopted as the main tool for postbuckling analysis. The formulation of the buckling problem for the most common engineering structures - rods and frames, plates, shells, and thin-walled beams, is performed and the critical load evaluated for problems of interest. In many cases the postbuckling analysis up to the second order is presented. The use of the Ritz-Galerkin and of the finite element methods is examined as a tool for approximate bifurcation analysis. The volume will provide an up-to-date introduction for non-specialists in elastic stability theory and methods, and is intended for graduate and post-graduate students and researchers interested in nonlinear structural analysis problems. Basic prerequisites are kept to a minimum, a familiarity with elementary algebra and calculus is all that is required of readers to make use of this book.
Elastic Postbuckling Analysis Of Structural Systems
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Author : Arul Jayachandran
language : en
Publisher: Springer
Release Date : 2025-06-20
Elastic Postbuckling Analysis Of Structural Systems written by Arul Jayachandran and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-20 with Computers categories.
Theory Of Elastic Stability
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Author : Luis A. Godoy
language : en
Publisher: CRC Press
Release Date : 2024-11-01
Theory Of Elastic Stability written by Luis A. Godoy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-01 with Technology & Engineering categories.
This book gives a unified presentation of the field of stability. Buckling and post-buckling states are studied on the basis of total potential energy of structural systems. Emphasis is placed throughout the text on post-buckling analysis and behaviour. The sensitivity of buckling and post-buckling states to changes in design parameters is also discussed as well as changes due to imperfections and damage.
Nonlinear Analysis Of Structures 1997
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Author : Muthukrishnan Sathyamoorthy
language : en
Publisher: CRC Press
Release Date : 2017-11-22
Nonlinear Analysis Of Structures 1997 written by Muthukrishnan Sathyamoorthy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
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.
Theory Of Stability Of Continuous Elastic Structures
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Author : Mario Como
language : en
Publisher: Routledge
Release Date : 2022-01-26
Theory Of Stability Of Continuous Elastic Structures written by Mario Como and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-26 with Mathematics categories.
Theory of Stability of Continuous Elastic Structures presents an applied mathematical treatment of the stability of civil engineering structures. The book's modern and rigorous approach makes it especially useful as a text in advanced engineering courses and an invaluable reference for engineers.
Nonlinear Dynamics Of Structures Systems And Devices
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Author : Walter Lacarbonara
language : en
Publisher: Springer Nature
Release Date : 2020-01-29
Nonlinear Dynamics Of Structures Systems And Devices written by Walter Lacarbonara and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-29 with Science categories.
This first of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to Nonlinear Dynamics of Structures, Systems and Devices. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume I include multi-scale dynamics: coexistence of multiple time/space scales, large system dynamics; dynamics of structures/industrial machines/equipment/facilities (e.g., cable transportation systems, suspension bridges, cranes, vehicles); nonlinear interactions: parametric vibrations with single/multi-frequency excitations, multiple external and autoparametric resonances in multi-dof systems; nonlinear system identification: parametric/nonparametric identification, data-driven identification; experimental dynamics: benchmark experiments, experimental methods, instrumentation techniques, measurements in harsh environments, experimental validation of nonlinear models; wave propagation, solitons, kinks, breathers; solution methods for pdes: Lie groups, Hirota’s method, perturbation methods, etc; nonlinear waves in media (granular materials, porous materials, materials with memory); composite structures: multi-layer, functionally graded, thermal loading; fluid/structure interaction; nonsmooth and retarded dynamics: systems with impacts, free play, stick-slip, friction hysteresis; nonlinear systems with time and/or space delays; stability of delay differential equations, differential-algebraic equations; space/time reduced-order modeling: enhanced discretization methods, center manifold reduction, nonlinear normal modes, normal forms; fractional-order systems; computational techniques: efficient algorithms, use of symbolic manipulators, integration of symbolic manipulation and numerical methods, use of parallel processors; and multibody dynamics: rigid and flexible multibody system dynamics, impact and contact mechanics, tire modeling, railroad vehicle dynamics, computational multibody dynamics.
Computational Mechanics In Structural Engineering
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Author : F.Y. Cheng
language : en
Publisher: CRC Press
Release Date : 1992-06-15
Computational Mechanics In Structural Engineering written by F.Y. Cheng and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06-15 with Architecture categories.
Proceedings of Sino-US Joint Symposium/Workshop on Recent Developments and Future Trends of Computational Mechanics in Structural Engineering, Beijing, China, September 24-28 1991
Linear And Nonlinear Structural Mechanics
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Author : Ali H. Nayfeh
language : en
Publisher: John Wiley & Sons
Release Date : 2024-11-12
Linear And Nonlinear Structural Mechanics written by Ali H. Nayfeh 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 2024-11-12 with Science categories.
* 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.