| Course Type | Elective Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | - |
|---|
| Semester | - |
|---|
| ECTS | 5 |
|---|
| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- Understanding the physical and mathematical theory principals at the background of finite element method.
- Apprehending the limitations and advantages of finite element method.
- Understanding the element types used in finite element package programs and determining the suitable element type according to type of the analysis.
- 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.
- Recognizing the importance and the role of finite element analysis on engineering systems and engineering design.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
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| Recommended Optional Programme Components | It is suggested that students have previously taken courses on numerical analysis, differential equations, strength of materials and heat transfer. |
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| Course Description | 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 |
1st Week Introduction to finite element analysis, basic concepts on iterations. |
|
2nd Week |
2nd Week Direct method, rigidity matrix, elements and nodes. |
|
3rd Week |
3rd Week 1-dimensional truss element. |
|
4th Week |
4th Week Local and global coordinate systems, global matrix. |
|
5th Week |
5th Week Strong forms of differential equations. |
|
6th Week |
6th Week Finite difference method. |
|
7th Week |
7th Week Weak forms of differential equations, finite element formulation. |
|
8th Week |
8th Week 1-Dimensional heat transfer problems. |
|
9th Week |
9th Week Elastic analysis with higher order 1-dimensonal elements. |
|
10th Week |
10th Week Beam element. |
|
11th Week |
11th Week 2-dimensional triangular elements. |
|
12th Week |
12th Week 2-dimensional heat problems and elastic problems. |
|
13th Week |
13th Week 2-dimensional rectangular elements. |
|
14th Week |
14th Week Isoparametric elements and principles of 3-dimensional analysis. |
|
| Recommended 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 |
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
35 |
| Assignment |
5 |
15 |
| Attendance |
1 |
5 |
| Total(%) |
|
55 |
| Contribution of In-term Studies to Overall Grade(%) |
|
55 |
| Contribution of Final Examination to Overall Grade(%) |
|
45 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| 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 Work Load | 153.5 |
| Total Work Load / 30 (h) | 5.11 |
| ECTS Credit of the Course | 5 |
|
| Language of Instruction | English |
|---|
| Work Placement(s) | No |
|---|
