At the end of this course, the students; 1) Understanding the physical and mathematical theory principals at the background of finite element method. 2) Apprehending the limitations and advantages of finite element method. 3) Understanding the element types used in finite element package programs and determining the suitable element type according to type of the analysis. 4) Generating the finite element equations from the preliminary first stage to final solving stage of finite element analysis used in mechanical and heat transfer problems. 5) Recognizing the importance and the role of finite element analysis on engineering systems and engineering design.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
It is suggested that students have previously taken courses on numerical analysis, differential equations, strength of materials and heat transfer.
COURSE DEFINITION
Introduction to finite element analysis, basic concepts, degrees of freedom, finite discretization of solid models and environments. Characteristics matrices of the elements, force vectors, application of boundary conditions. Numerical integration. One dimensional problems, bar element. Matrix coordinate transformations, conversion of matrices in local coordinate system to matrices in global coordinate system, solutions for system of equations. Beam element. Finite element analysis of two dimensional problems, triangular and rectangular elements, isoparametric elements. Plane stress and plane strain problems. Applications of finite element analysis using computers.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Introduction to finite element analysis, basic concepts on iterations.
2nd Week
Direct method, rigidity matrix, elements and nodes.
3rd Week
1-dimensional truss element.
4th Week
Local and global coordinate systems, global matrix.
5th Week
Strong forms of differential equations.
6th Week
Finite difference method.
7th Week
Weak forms of differential equations, finite element formulation.
8th Week
1-Dimensional heat transfer problems.
9th Week
Elastic analysis with higher order 1-dimensonal elements.
10th Week
Beam element.
11th Week
2-dimensional triangular elements.
12th Week
2-dimensional heat problems and elastic problems.
13th Week
2-dimensional rectangular elements.
14th Week
Isoparametric elements and principles of 3-dimensional analysis.
RECOMENDED OR REQUIRED READING
(1) N. Ottosen, H.Peterson. Introduction to the Finite Element Method, Prentice Hall (2) D.L. Logan. A First Course in the Finite Element Method, 4th edition, Thomson
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture,Questions/Answers
ASSESSMENT METHODS AND CRITERIA
Quantity
Percentage(%)
Mid-term
1
40
Assignment
2
15
Total(%)
55
Contribution of In-term Studies to Overall Grade(%)
55
Contribution of Final Examination to Overall Grade(%)
45
Total(%)
100
ECTS WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
1
2
2
Preparation for Quiz
Individual or group work
14
2,5
35
Preparation for Final exam
1
25
25
Course hours
14
3
42
Preparation for Midterm exam
1
15
15
Laboratory (including preparation)
Final exam
1
2,5
2,5
Homework
4
8
32
Total Workload
153,5
Total Workload / 30
5,11
ECTS Credits of the Course
5
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
