| Course Type | Elective Course |
| Course Level | Master's Degree With Thesis |
| Year of Study | - |
| Semester | - |
| ECTS | 10 |
| 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.
- Learning the basics of variation principles in solid mechanics.
- Understanding the element types used in finite element package programs and determining the suitable element type according to type of the analysis.
- To be able to analyze the mechanical systems with linear or nonlinear material characteristics through finite element modeling.
- Learning the isoparametric formulations that able everybody to write his/her own finite element computer program.
- To be able to model the characteristics and behavior of dynamics problems using finite element formulation.
|
| Mode of Delivery | Face to face |
| Prerequisites | No |
| Recommended Optional Programme Components | None |
| Course Description | 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 |
|
| Recommended 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.
|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Questions/Answers
- Problem Solving
- Presentation
|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
35 |
| Assignment |
4 |
10 |
| Attendance |
1 |
5 |
| Other |
2 |
10 |
| Total(%) |
|
60 |
| Contribution of In-term Studies to Overall Grade(%) |
|
60 |
| Contribution of Final Examination to Overall Grade(%) |
|
40 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
3 |
3 |
| Preparation for Quiz |
|
|
|
| Individual or group work |
14 |
3 |
42 |
| Preparation for Final exam |
1 |
35 |
35 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
1 |
20 |
20 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
3 |
3 |
| Homework |
4 |
20 |
80 |
| Take-home |
2 |
40 |
80 |
| Total Work Load | 305 |
| Total Work Load / 30 (h) | 10.16 |
| ECTS Credit of the Course | 10 |
|
| Language of Instruction | Turkish |
| Work Placement(s) | No |