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Jayachandran Elastic Postbuckling Analysis of Structural Systems
Erscheinungsjahr 2025
ISBN: 978-3-031-89936-2
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
Computational Methods and Applications
E-Book, Englisch, 142 Seiten
Reihe: Solid Mechanics and Its Applications
ISBN: 978-3-031-89936-2
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Chapter 1. Introduction to Elastic Postbuckling Behavior of Structures.- Chapter 2. A Co-Rotation-Based Secant Matrix Procedure for the Elastic Postbuckling Analysis of Truss Structures.- Chapter 3. Variable Order Secant Matrices for the Kinematically Exact Postbuckling Analysis of Beams and Frames.- Chapter 4. Variable Order Secant Matrices for Geometric Nonlinear Analysis of Thin-Walled Open Sections.- Chapter 5. Improved secant matrices for the postbuckling analysis of thin initially imperfect plates.- Chapter 6. Postbuckling Analysis of Shallow Shells Using Secant Matrices Based on Marguerre's Shell Theory.- Chapter 7. Closing Remarks.