At the end of this course, the students; 1) Understanding the physical and mathematical theory principals at the background of finite element method. 2) Learning the basics of variation principles in solid mechanics. 3) Understanding the element types used in finite element package programs and determining the suitable element type according to type of the analysis. 4) To be able to analyze the mechanical systems with linear or nonlinear material characteristics through finite element modeling. 5) Learning the isoparametric formulations that able everybody to write his/her own finite element computer program. 6) To be able to model the characteristics and behavior of dynamics problems using finite element formulation.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
Derivation of finite element analysis equations, weighted residual methods. Introduction to variation mathematics, Variation techniques used in finite element analysis. Galerkin ve Ritz methods, interpolation functions. Basic elements, high degree elements, derivation isoparametric element equation. Analysis of two dimensional, unsteady solid body problems.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Introduction to Numerical Analysis Methods
2nd Week
Finite element types, definition of rigidity and rod elements
3rd Week
Element matrices and forming complete matrices
4th Week
Truss systems
5th Week
Applications of linear elasticity in finite element method
6th Week
Analysis of two dimensional problems
7th Week
Examination
8th Week
Introduction to variation mathematics
9th Week
Variation techniques used in finite element analysis
10th Week
Galerkin and Ritz methods, interpolation functions
11th Week
Basic elements, high degree elements
12th Week
Dynamic system analysis with finite element method
13th Week
Derivation isoparametric element equation
14th Week
Analysis of two dimensional, unsteady solid body problems
RECOMENDED OR REQUIRED READING
o J.N.Reddy, An Introduction to the Finite Element Method, McGraw-Hill o K. H. Huebner, D. L. Dewhirst, D. E. Smith and T. G. Byron, "The Finite Element Method for Engineers", 4th Edition, John Wiley & Sons Inc., New York, 2001.
