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Dassault Syst mes Buckling Postbuckling and Collapse Analysis with Abaqus Dassault Syst mes Buckling Postbuckling and Collapse Analysis with Abaqus Day 1 Lecture 1Basic Concepts and Overview Workshop 1Buckling and Postbuckling Analyses of a Crane Structure Lecture 2Finite Element Formulation Lecture 3Finite Element Implementation in Abaqus Lecture 4Eigenvalue Buckling Analysis Workshop 2Eigenvalue Buckling of a Ring Subjected to External Pressure Workshop 3Elastic Buckling of Ring Supported Cylindrical Shell under Hydrostatic Pressure Dassault Syst mes Buckling Postbuckling and Collapse Analysis with Abaqus Day 2 Lecture 5Regular and Damped Static Solution Procedures for Postbuckling Analyses Workshop 4Nonlinear Buckling of Ring Supported Cylindrical Shell under Hydrostatic Pressure Workshop 5Static Buckling Analysis of a Circular Arch Lecture 6Modified Riks Static Solution Procedure for Postbuckling Analyses Workshop 5Static Buckling Analysis of a Circular Arch continued Lecture 7Dynamic Analysis Solution Procedures for Postbuckling Analyses Workshop 5Static Buckling Analysis of a Circular Arch continued Workshop 6Tube Crush Dynamic Analysis Lecture 8Putting It All Together Workshop 7Capstone Workshop Lee s Frame Buckling Problem Workshop 8Buckling and Postbuckling Analyses of a Stiffened Panel Dassault Syst mes Buckling Postbuckling and Collapse Analysis with Abaqus Legal Notices The Abaqus Software described in this documentation is available only under license from Dassault Syst mes and its subsidiary and may be used or reproduced only in accordance with the terms of such license This documentation and the software described in this documentation are subject to change without prior notice Dassault Syst mes and its subsidiaries shall not be responsible for the consequences of any errors or omissions that may appear in this documentation No part of this documentation may be reproduced or distributed in any form without prior written permission of Dassault Syst mes or its subsidiary Dassault Syst mes 2011 Printed in the United States of America Abaqus the 3DS logo SIMULIA and CATIA are trademarks or registered trademarks of Dassault Syst mes or its subsidiaries in the US and or other countries Other company product and service names may be trademarks or service marks of their respective owners For additional information concerning trademarks copyrights and licenses see the Legal Notices in the Abaqus 6 11 Release Notes and the notices at Dassault Syst mes Buckling Postbuckling and Collapse Analysis with Abaqus Revision Status Lecture 15 11Updated for 6 11 Lecture 25 11Updated for 6 11 Lecture 35 11Updated for 6 11 Lecture 45 11Updated for 6 11 Lecture 55 11Updated for 6 11 Lecture 65 11Updated for 6 11 Lecture 75 11Updated for 6 11 Lecture 85 11Updated for 6 11 Workshop 15 11Updated for 6 11 Workshop 25 11Updated for 6 11 Workshop 35 11Updated for 6 11 Workshop 45 11Updated for 6 11 Workshop 55 11Updated for 6 11 Workshop 65 11Updated for 6 11 Workshop 75 11Updated for 6 11 Workshop 85 11Updated for 6 11 Dassault Syst mes Lecture 1 Basic Concepts and Overview Dassault Syst mes L1 2 Buckling Postbuckling and Collapse Analysis with Abaqus Overview Introduction Solution Techniques Analysis Selection Guide Example Lee s Frame Buckling Problem Summary Workshop Dassault Syst mes Lecture 2 Finite Element Formulation Dassault Syst mes L2 2 Buckling Postbuckling and Collapse Analysis with Abaqus Introduction Basic Equations in Finite Element Analysis Linearization Nonlinear Problems in Mechanics Geometrically Nonlinear Analysis Stress and Strain Measures Equilibrium and Virtual Work Summary Dassault Syst mes Lecture 3 FE Implementation in Abaqus Dassault Syst mes L3 2 Buckling Postbuckling and Collapse Analysis with Abaqus Outline Abaqus Definitions General and Perturbation Procedures Including Nonlinear Effects in an Abaqus Simulation General Procedure Solution Techniques Nonlinear Analysis Using Implicit Methods Solution Control Diagnostics Riks Method Automatic Time Incrementation General Procedure Implicit Equation Solvers Nonlinear Analysis Using Explicit Methods Perturbation Procedure Solution Techniques Introducing Imperfections for Postbuckling Simulations Summary Dassault Syst mes Lecture 4 Eigenvalue Buckling Analysis Dassault Syst mes L4 2 Buckling Postbuckling and Collapse Analysis with Abaqus Overview Introduction Eigenvalue Problem Formulation Abaqus Usage Example Buckling of a Thin Cylindrical Shell Closely Spaced Eigenvalues Symmetry in Buckling Analyses Concluding Remarks Workshops Dassault Syst mes Lecture 5 Regular and Damped Static Solution Procedures for Postbuckling Analyses Dassault Syst mes L5 2 Buckling Postbuckling and Collapse Analysis with Abaqus Overview Motivation Regular Static Procedure Motivation for Damped Static Procedures Automatic Stabilization Dashpots Postbuckling and Loss of Contact Summary for Damped Static Procedures Concluding Remarks Workshops Dassault Syst mes Lecture 6 Modified Riks Static Solution Procedure for Postbuckling Analyses Dassault Syst mes L6 2 Buckling Postbuckling and Collapse Analysis with Abaqus Overview Introduction Abaqus Implementation Abaqus Usage Snap Through Problems Postbuckling Problems Postbuckling Examples Usage Tips Limitations Concluding Remarks Workshop Dassault Syst mes Lecture 7 Dynamic Analysis Solution Procedures for Postbuckling Analyses Dassault Syst mes L7 2 Buckling Postbuckling and Collapse Analysis with Abaqus Overview What Makes a Problem Dynamic Equations for Dynamic Problems Nonlinear Dynamics Workshop Analyzing Highly Nonlinear Quasi Static Problems Quasi Static Simulations Using Explicit Dynamics E
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