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Information
| Code | BMM0065 |
| Name | Finite Element Method |
| Term | 2024-2025 Academic Year |
| Term | Fall |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Doktora Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | |
| Course Instructor |
1 |
Course Goal / Objective
To be able to model and analyze engineering problems with finite element method
Course Content
Weighted residual method, Dirichlet and Neuman boundary conditions, one-dimesional shape functions, two-dimesional steady-state heat conduction problem, two-dimensional shape functions, sstiffness matrix, linear system
Course Precondition
None.
Resources
Lecture Notes
Notes
None.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | To provide basic information about the finite element method. |
| LO02 | To improve the ability of an engineering problem to construct a finite element model |
| LO03 | To teach the solution techniques used in the finite element method |
| LO04 | Performing finite element solutions in MATLAB program |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | To be able to reach new solutions by applying current and advanced technical approaches of mathematics, science and engineering sciences to current scientific problems encountered in the field of medicine and medical technologies. | |
| PLO02 | Yetkinlikler - Öğrenme Yetkinliği | Having knowledge of the literature related to a sub-discipline of biomedical engineering, defining and modeling current problems, and being a specialist in that discipline. | 4 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Analyzing data, making theoretical and simulation based designs, designing experiments and interpreting the results. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Developing researched contemporary techniques, software, hardware and computational tools for engineering applications. | 4 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | To be able to analyze and design a process in line with a defined target. | |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | To be able to carry out scientific studies with medical doctors and members of other disciplines from an engineering point of view. | |
| PLO07 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Expressing one's own findings orally and in writing, clearly and concisely, writing conference and journal papers. | |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | To be able to improve oneself by embracing the importance of lifelong learning and by following the developments in science-technology and contemporary issues. | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | The ability to act independently, set priorities and be creative. | |
| PLO10 | Yetkinlikler - Alana Özgü Yetkinlik | Being aware of national and international contemporary scientific and social problems in the field of Biomedical Engineering. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | To be able to evaluate the contribution of engineering solutions to problems in medicine, medical technologies and health in a global and social context. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Method of weighted residuals - 1 | None required. | Öğretim Yöntemleri: Anlatım |
| 2 | Method of weighted residuals - 2 | None required. | Öğretim Yöntemleri: Anlatım |
| 3 | Ordinary differential equation and weak form | None required. | Öğretim Yöntemleri: Anlatım |
| 4 | Shape functions, assembly, stiffness matrix | None required. | Öğretim Yöntemleri: Anlatım |
| 5 | Essential and natural boundary conditions | None required. | Öğretim Yöntemleri: Anlatım |
| 6 | Stiffness matrix using higher order shape functions | None required. | Öğretim Yöntemleri: Anlatım |
| 7 | One dimensional canonical element and numerical integration | None required. | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Review of course content | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Weak form of two-dimensional Laplace problem | None required. | Öğretim Yöntemleri: Anlatım |
| 10 | Two-dimensional shape functions on triangular elements | None required. | Öğretim Yöntemleri: Anlatım |
| 11 | Assembly and stiffness matrix with triangular elements | None required. | Öğretim Yöntemleri: Anlatım |
| 12 | Essential and natural boundary conditions in two dimension | None required. | Öğretim Yöntemleri: Anlatım |
| 13 | Canonical triangular element and numerical integration | None required. | Öğretim Yöntemleri: Anlatım |
| 14 | Problem solving - 1 | None required. | Öğretim Yöntemleri: Anlatım |
| 15 | Problem solving - 2 | None required. | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Review of course content | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review of course content | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 143 | ||
| Total Workload / 25 (h) | 5,72 | ||
| ECTS | 6 ECTS | ||