SYLLABUS 

Finite Element Method,  Spring 2005

 

MTMG235                 Finite Element Method (Key: 28388)                               

 

INSTRUCTOR          : Prof. Sinan Müftü, 369 SN, 617-373‑4743, smuftu@coe.neu.edu

                                   

CLASS HOURS         : Monday, Wednesday, 6-7:40 pm

 

OFFICE HOURS       : By appointment

 

CLASS LOCATION: to be determined

 

PREREQUISITE       :  MTMG200 or consent of the instructor.

 

TEXTBOOK              : Concepts and Applications of Finite Element Analysis

                                      by RD Cook, DS Malkus, ME Plesha and RJ Witt

                                      John Wiley & Sons Inc., ISBN: 0-471-35605-0

 

WEB PAGE                : http://blackboard.neu.edu and

                                      http://www1.coe.neu.edu/~smuftu

 

COURSE DESCRIPTION:

Focuses on numerical techniques for solving engineering problems. Topics include introduction to the finite element method; methods of approximations and variational methods; Rayleigh-Ritz method and Galerkin formulation; interpolation functions; truss, beam, plate shell, and solid elements; stiffness matrix and assembly of element equations; application of finite element method in fluid and heat transfer problems; linear, non-linear, and transient problems; numerical integration and methods of solving systems of equations for static and dynamic problems; and use of a finite element general-purpose commercial package.

 

EXAMS AND GRADING: 

            Homework ‑ 20%

            Projects – 20%

            Mid‑Term Exam ‑ 30%

            Final Exam ‑ 30%

 

·        No late homework will be accepted.

·        Make‑up exams will only be given under unusual conditions with the prior approval of the instructor.  A grade penalty may be applied.

·        Grades of Incomplete ("I" Grades) will be given only under extraordinary circumstances at the discretion of the instructor.

 

 

Topics Covered

 

1.      Introduction and Brief History (Chapter 1)

2.      One-dimensional Elements and Computational Procedures (Chapter 2)

3.      Basic Elements (Chapter 3)

4.      Variational Methods

4.1.   Rayleigh_Ritz Method (Chapter 4)

4.2.   Galerkin and Other Residual Methods (Chapter 5)

5.      Isoparametric Elements (Chapter 6)

6.      Error Estimation and Convergence (Chapter 9)

7.      Finite Elements in Structural Dynamics and Vibrations (Chapter 11)

8.      Heat Transfer and Selected Fluid Problems (Chapter 12)

9.      Plate Bending (Chapter 15)

 

Note that the chapter numbers refer to the text book by Cook et al.


REFERENCES

 

  1. Adams, V. and Askenazi, A., Building Better Products with Finite Element Analysis, Onward Press, (1999).
  2. Bathe, K.J., Finite Element Procedures, Prentice Hall (1996).
  3. Cook, RD , Malkus, DS, Plesha ME  and Witt, RJ, Concepts and Applications of Finite Element Analysis, John Wiley & Sons Inc., (2002).
  4. Hughes, TJR, The Finite Element Method: Linear, Static and Dynamic Finite Element Analysis, Prentice-Hall, (1987).
  5. Hutton, D.V., Fundamentals of Finite Element Analysis, McGraw Hill, (2004).
  6. Logan, D.L., A First Course in the Finite Element Method Using Algor, Brooks/Cole, (2001).
  7. Reddy, JN, An Introduction to the Finite Element Method, McGraw Hill, (1993)
  8. Shames, IH and Dym, CL, Energy and Finite Element Methods in Structural Mechanics, McGraw Hill, (1985)
  9. Zienkiewicz, O.C. and Taylor, R.L., The Finite Element Method, Volume 1: Basic Formulation and Linear Problems, McGraw Hill, NY (2000).
  10. Zienkiewicz, O.C. and Taylor, R.L., The Finite Element Method, Volume 2: Solid and Fluid Mechanics Dynamics and Non-linearity, McGraw Hill, NY (1992).

 

BOOKS ON RESERVE

  1. Finite element procedures, Bathe, Klaus-Jürgen.; TA347.F5 B36 1996
  2. The mathematical theory of finite element method, Brenner, Susanne C.; QA379 .B74 2002
  3. The least-squares finite element method : theory and applications in computational fluid dynamics analysis, Jiang, Bo-Nan,; QC151 .J53 1998
  4. Delaunay triangulation and meshing : application to finite elements, George, Paul L.; TA347.F5 G46 1998
  5. Introduction to finite elements in engineering, Chandrupatla, Tirupathi R.; TA347.F5 C463 1997
  6. The finite element method for engineers, Huebner, Kenneth H.,; TA347.F5 H83 1995
  7. Finite element modeling for stress analysis,  Cook, Robert Davis.; TA347.F5 C665 1995
  8. A first course in the finite element method,. Bickford, William; TA347.F5 B53 1994
  9. The finite element method in heat transfer and fluid dynamic. Reddy, J. N.; TA357 .R43 1994
  10. Finite element modeling in engineering practice : includes examples with ALGOR  Spyrakos, Constantine Christoforos.; TA347.F5 S78 1994
  11. An introduction to the finite element method. Reddy, J. N.; TA347.F5 R4 1993