Introduction to Finite Element Methods (ASEN 5007) Course Material

Introduction to Finite Element Methods (ASEN 5007) - Fall 2011 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 (office hours tentative), Syllabus and Fall 11 schedule-at-a-glance (tentative). HW preparation & submission guidelines for Fall 2011. Course roster as of Aug 25, 2011. Please report errors or omissions to instructor at carlos.felippa@colorado.edu The mailing address for CAETE homework is given here, along with some instructions. 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, due Th Sep 1, posted.* Chapter 3 Index. The Direct Stiffness Method II. Chapter 4 Index. Analysis of Example Truss by a CAS. HW#2 due Th Sep 8, 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, due Sep 15, 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.* Chapter 9 Index. Multifreedom Constraints II. Chapter 10 Index. Superelements and Global-Local Analysis. Part II: Mathematical Formulation of Finite Elements Chapter 11 Index. Variational Formulation of Bar Element. HW #5, due Oct 13, posted.* Solutions for Ch 11 posted. Chapter 12 Index. Variational Formulation of Plane Beam Element. HW Solutions for Ch 12 posted.* Chapter 13 Index. Advanced One-Dimensional Elements. Not covered in course Chapter 14 Index. The Plane Stress Problem. HW Solutions for Ch 14 posted.* Chapter 15 Index. Three-Node Plane Stress Triangles. HW #6, due Oct 20, posted. HW Solutions for Ch 15 posted.* Chapter 16 Index. The Isoparametric Representation. HW Solutions for Ch 16 posted.* Chapter 17 Index. Isoparametric Quadrilaterals. HW #7, due Oct 29, posted; has tentative announcement of second midterm exam.* HW Solutions for Ch 17 posted. Chapter 18 Index. Shape Function Magic. HW Solutions for Ch 18 posted* Chapter 19 Index. FEM Convergence Requirements. HW#8, due Nov 4, posted. Has detailed announcement for second midterm exam.* HW Solutions for Ch 19 posted Part III: Computer Implementation of Finite Elements Chapter 20 Index. Implementation of One-Dimensional Elements. HW#9 (Chapters 20-21), due Th Nov 17, posted. HW solutions for Ch 20 posted.* Chapter 21 Index. FEM Program for Space Trusses. HW Solutions for Ch 21 posted.* Chapter 22 Index. FEM Programs for Trusses and Frames. Not covered, to be rewritten. Chapter 23 Index. Implementation of iso-P Quadrilateral Elements. HW#10, due Dec 1, posted.* HW solutions for Ch 23 posted. Chapter 24 Index. Implementation of iso-P Triangular Elements. HW Solutions for Ch 24 posted.* Chapter 25 Index. The Assembly Process. HW#11 (last HW), due Dec 8, posted.* Solutions for Ch 25 posted. Chapter 26 Index. Solving FEM Equations. Not covered Chapter 27 Index. A Complete Plane Stress FEM Program. Chapter 28 Index. Stress Recovery. (Last chapter covered.) Chapter 28 Index. Fitting Fields Over Triangles (in progress) Chapter 30 Index. Thermomechanical Effects. Part IV: Intro to Dynamics and Vibrations (new part, under construction) Chapter 31 Index. Dynamics & Vibrations Overview. (under construction) Chapter 32 Index. Lumped and Consistent Mass Matrices. (under construction) Chapter 33 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 P Index. Partitioned Matrices and the Schur Complement. Appendix R Index. References (in progress). CAETE PPT files . Chapters 1-21,23-28. Exams *Midterm and Final Exam Material. Take-home Final Exam posted Wed Dec 7, 2011, 10:15 AM.

Introduction to Finite Element Methods (ASEN 5007) - Fall 2011
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 (office hours tentative), Syllabus and Fall 11 schedule-at-a-glance (tentative).
HW preparation & submission guidelines for Fall 2011.
Course roster as of Aug 25, 2011. Please report errors or omissions to instructor at carlos.felippa@colorado.edu
The mailing address for CAETE homework is given here, along with some instructions.

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, due Th Sep 1, posted.
*Chapter 3 Index. The Direct Stiffness Method II.
*Chapter 4 Index. Analysis of Example Truss by a CAS. HW#2 due Th Sep 8, 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, due Sep 15, 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.
*Chapter 9 Index. Multifreedom Constraints II.
*Chapter 10 Index. Superelements and Global-Local Analysis.

Part II: Mathematical Formulation of Finite Elements
*Chapter 11 Index. Variational Formulation of Bar Element. HW #5, due Oct 13, posted. Solutions for Ch 11 posted.
*Chapter 12 Index. Variational Formulation of Plane Beam Element. HW Solutions for Ch 12 posted.
Chapter 13 Index. Advanced One-Dimensional Elements. Not covered in course
*Chapter 14 Index. The Plane Stress Problem. HW Solutions for Ch 14 posted.
*Chapter 15 Index. Three-Node Plane Stress Triangles. HW #6, due Oct 20, posted. HW Solutions for Ch 15 posted.
*Chapter 16 Index. The Isoparametric Representation. HW Solutions for Ch 16 posted.
*Chapter 17 Index. Isoparametric Quadrilaterals. HW #7, due Oct 29, posted; has tentative announcement of second midterm exam. HW Solutions for Ch 17 posted.
*Chapter 18 Index. Shape Function Magic. HW Solutions for Ch 18 posted
*Chapter 19 Index. FEM Convergence Requirements. HW#8, due Nov 4, posted. Has detailed announcement for second midterm exam. HW Solutions for Ch 19 posted

Part III: Computer Implementation of Finite Elements
*Chapter 20 Index. Implementation of One-Dimensional Elements. HW#9 (Chapters 20-21), due Th Nov 17, posted. HW solutions for Ch 20 posted.
*Chapter 21 Index. FEM Program for Space Trusses. HW Solutions for Ch 21 posted.
Chapter 22 Index. FEM Programs for Trusses and Frames. Not covered, to be rewritten.
*Chapter 23 Index. Implementation of iso-P Quadrilateral Elements. HW#10, due Dec 1, posted. HW solutions for Ch 23 posted.
*Chapter 24 Index. Implementation of iso-P Triangular Elements. HW Solutions for Ch 24 posted.
*Chapter 25 Index. The Assembly Process. HW#11 (last HW), due Dec 8, posted. Solutions for Ch 25 posted.
Chapter 26 Index. Solving FEM Equations. Not covered
*Chapter 27 Index. A Complete Plane Stress FEM Program.
*Chapter 28 Index. Stress Recovery. (Last chapter covered.)
Chapter 28 Index. Fitting Fields Over Triangles (in progress)
Chapter 30 Index. Thermomechanical Effects.

Part IV: Intro to Dynamics and Vibrations (new part, under construction)
Chapter 31 Index. Dynamics & Vibrations Overview. (under construction)
Chapter 32 Index. Lumped and Consistent Mass Matrices. (under construction)
Chapter 33 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 P Index. Partitioned Matrices and the Schur Complement.
Appendix R Index. References (in progress).
CAETE PPT files . Chapters 1-21,23-28.

Exams
*Midterm and Final Exam Material. Take-home Final Exam posted Wed Dec 7, 2011, 10:15 AM.