Introduction to Finite Element Methods (ASEN 5007) Course Material

Introduction to Finite Element Methods (ASEN 5007) - Fall 2008 Department of Aerospace Engineering Sciences University of Colorado at Boulder
Students: Please do not download material until the link is marked with an asterisk () . Course outline, Syllabus and Schedule-at-a-glance (tentative). HW preparation & submission guidelines for Fall 2008. Fall 08 roster TBP. Please report errors or omissions to instructor at carlos.felippa@colorado.edu The mailing address for CAETE (formerly CATECS) homework is given here TBP. Part 0: Preface Preface Index. Part I: Finite Element Discretization and the Direct Stiffness Method Chapter 1 Index. Overview. Not covered in course Chapter 2 Index. The Direct Stiffness Method I. HW#1 posted. HW Solutions for Ch 2 posted.* Chapter 3 Index. The Direct Stiffness Method II. HW Solutions for Ch 3 posted* Chapter 4 Index. Analysis of Example Truss by a CAS. HW#2 posted. HW Solutions for Ch 4 posted.* Chapter 5 Index. Constructing MoM Members. HW Solutions for Ch 5 posted.* Chapter 6 Index. Finite Element Modeling: Introduction. Chapter 7 Index. Finite Element Modeling: Mesh, Loads, BCs. HW #3 posted; has tentative announcement of first midterm exam. HW Solutions for Chapter 7 posted. Chapter 8 Index. Multifreedom Constraints I. HW #4 posted; has detailed announcement of first midterm exam. HW Solutions for Chapter 8 posted.* Chapter 9 Index. Multifreedom Constraints II. HW Solutions for Chapter 9 posted.* Chapter 10 Index. Superelements and Global-Local Analysis. HW Solutions for Chapter 10 posted.* Part II: Mathematical Formulation of Finite Elements Chapter 11 Index. Variational Formulation of Bar Element. HW #5, due Oct 16, posted.* Chapter 12 Index. Variational Formulation of Plane Beam Element. Chapter 13 Index. Advanced One-Dimensional Elements. Not covered in course* Chapter 14 Index. The Plane Stress Problem. Chapter 15 Index. Three-Node Plane Stress Triangles. Chapter 16 Index. The Isoparametric Representation. Chapter 17 Index. Isoparametric Quadrilaterals. Chapter 18 Index. Shape Function Magic. Part III: Computer Implementation of Finite Elements* Chapter 20 Index. Implementation of One-Dimensional Elements. Chapter 21 Index. FEM Program for Space Trusses. Chapter 22 Index. FEM Programs for Trusses and Frames. Not covered, to be rewritten. Chapter 23 Index. Implementation of iso-P Quadrilateral Elements. Chapter 24 Index. Implementation of iso-P Triangular Elements. Chapter 25 Index. The Assembly Process. Chapter 26 Index. Solving FEM Equations. Chapter 27 Index. A Complete Plane Stress FEM Program. Chapter 28 Index. Stress Recovery. (Last chapter covered.) Chapter 29 Index. Thermomechanical Effects. Part IV: Intro to Dynamics and Vibrations (new part, under construction) Chapter 30 Index. Dynamics & Vibrations Overview. (under construction) Chapter 31 Index. Lumped and Consistent Mass Matrices. (under construction) Chapter 32 Index. Customized Mass Matrices. (under construction) Appendices & Miscellanea Appendix A Index. Vector Algebra Refresher. Appendix B Index. Matrix Algebra Refresher. Appendix C Index. A Continuation of Appendix B. Appendix D Index. Matrix Calculus Summary. Appendix F Index. Geometric Applications of Matrices. Appendix G Index. Oldies but Goodies. Appendix H Index. History of MSA -> FEM. Appendix M Index. Miscellaneous Advanced Topics. Appendix R Index. References (in progress). CAETE PPT files . Chapters 1-21,23-28. Exams Exam Material Midterm Exams and Solutions.

Introduction to Finite Element Methods (ASEN 5007) - Fall 2008
Department of Aerospace Engineering Sciences
University of Colorado at Boulder

Students: Please do not download material until the link is marked with an asterisk () .

Course outline, Syllabus and Schedule-at-a-glance (tentative).
HW preparation & submission guidelines for Fall 2008.
Fall 08 roster TBP. Please report errors or omissions to instructor at carlos.felippa@colorado.edu
The mailing address for CAETE (formerly CATECS) homework is given here TBP.

Part 0: Preface
Preface Index.

Part I: Finite Element Discretization and the Direct Stiffness Method
Chapter 1 Index. Overview. Not covered in course
*Chapter 2 Index. The Direct Stiffness Method I. HW#1 posted. HW Solutions for Ch 2 posted.
*Chapter 3 Index. The Direct Stiffness Method II. HW Solutions for Ch 3 posted
*Chapter 4 Index. Analysis of Example Truss by a CAS. HW#2 posted. HW Solutions for Ch 4 posted.
*Chapter 5 Index. Constructing MoM Members. HW Solutions for Ch 5 posted.
*Chapter 6 Index. Finite Element Modeling: Introduction.
*Chapter 7 Index. Finite Element Modeling: Mesh, Loads, BCs. HW #3 posted; has tentative announcement of first midterm exam. HW Solutions for Chapter 7 posted.
*Chapter 8 Index. Multifreedom Constraints I. HW #4 posted; has detailed announcement of first midterm exam. HW Solutions for Chapter 8 posted.
*Chapter 9 Index. Multifreedom Constraints II. HW Solutions for Chapter 9 posted.
*Chapter 10 Index. Superelements and Global-Local Analysis. HW Solutions for Chapter 10 posted.

Part II: Mathematical Formulation of Finite Elements
*Chapter 11 Index. Variational Formulation of Bar Element. HW #5, due Oct 16, posted.
*Chapter 12 Index. Variational Formulation of Plane Beam Element.
Chapter 13 Index. Advanced One-Dimensional Elements. Not covered in course
*Chapter 14 Index. The Plane Stress Problem.
Chapter 15 Index. Three-Node Plane Stress Triangles.
Chapter 16 Index. The Isoparametric Representation.
Chapter 17 Index. Isoparametric Quadrilaterals.
Chapter 18 Index. Shape Function Magic.

Part III: Computer Implementation of Finite Elements
Chapter 20 Index. Implementation of One-Dimensional Elements.
Chapter 21 Index. FEM Program for Space Trusses.
Chapter 22 Index. FEM Programs for Trusses and Frames. Not covered, to be rewritten.
Chapter 23 Index. Implementation of iso-P Quadrilateral Elements.
Chapter 24 Index. Implementation of iso-P Triangular Elements.
Chapter 25 Index. The Assembly Process.
Chapter 26 Index. Solving FEM Equations.
Chapter 27 Index. A Complete Plane Stress FEM Program.
Chapter 28 Index. Stress Recovery. (Last chapter covered.)
Chapter 29 Index. Thermomechanical Effects.

Part IV: Intro to Dynamics and Vibrations (new part, under construction)
Chapter 30 Index. Dynamics & Vibrations Overview. (under construction)
Chapter 31 Index. Lumped and Consistent Mass Matrices. (under construction)
Chapter 32 Index. Customized Mass Matrices. (under construction)

Appendices & Miscellanea
Appendix A Index. Vector Algebra Refresher.
Appendix B Index. Matrix Algebra Refresher.
Appendix C Index. A Continuation of Appendix B.
Appendix D Index. Matrix Calculus Summary.
Appendix F Index. Geometric Applications of Matrices.
Appendix G Index. Oldies but Goodies.
Appendix H Index. History of MSA -> FEM.
Appendix M Index. Miscellaneous Advanced Topics.
Appendix R Index. References (in progress).
CAETE PPT files . Chapters 1-21,23-28.

Exams
Exam Material Midterm Exams and Solutions.