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Information
| Code | İM590 |
| Name | Applications of finite Element Method. |
| Term | 2024-2025 Academic Year |
| Term | Spring |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Doktora Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. BEYTULLAH TEMEL |
| Course Instructor |
1 |
Course Goal / Objective
This course will train you to analyse real world structural mechanics problems using the finite element method. You will be introduced to the mathematical basis of finite element analysis.
Course Content
Variational Notation. Galerkin formulations. Plane elasticity. Brief information about plates and shells. Isoparametric coordinates. Special value and time dependent problems. Programming techniques and introduction of existing package programs.
Course Precondition
No requirements
Resources
1) Finite Element Method, G. Dhatt and G. Touozot and E. Lefrançois, Wiley, 2012. 2) An Introduction to the Finite Element Method, J. N. Reddy. Mc-Graw Hill, 3. rd Edition (2006)
Notes
Mathematica Software
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students will have knowledge about how to apply finite elements in physical problems. |
| LO02 | The student begins to recognize the current finite element package programs used in the market. |
| LO03 | Student will have detailed information about matrices, tensors. |
| LO04 | Student will have knowledge about derivation of equilibrium equation. |
| LO05 | The student understands how to obtain the stiffness equation. |
| LO06 | Students will have information about quadrilateral and triangular finite elements. |
| LO07 | Students learn formulation of beams and axisymmetric structural elements. |
| LO08 | Students learn formulation of plate and shell elements. |
| LO09 | Students will have information about 3D finite elements. |
| LO10 | Students will have an idea about how to handle static analysis problems. |
| LO11 | Students will have an idea about how to handle heat transfer problems. |
| LO12 | Students will have an idea about how to handle seapage analysis problems. |
| LO13 | Students will have an idea about how to handle dynamic analysis. |
| LO14 | Students will have an idea about how to solve dynamic analysis problems. |
| LO15 | Have an idea about how to interpret dynamic analysis results. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have knowledge and understanding at advanced level providing required basis for original projects in the field of civil engineering based on qualifications gained at undergraduate level. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Gain required knowledge through scientific research in the field of engineering, evaluate, interpret and apply data. | 4 |
| PLO03 | Yetkinlikler - Öğrenme Yetkinliği | Be aware of new and emerging applications,examine and learn where necessary. | |
| PLO04 | Yetkinlikler - Öğrenme Yetkinliği | Construct engineering problems, develop strategies to solve them, and apply innovative methods for solutions. | 3 |
| PLO05 | Yetkinlikler - Öğrenme Yetkinliği | Design and implement analytical modeling and experimental research and solve complex situations encountered in this process. | |
| PLO06 | Yetkinlikler - Öğrenme Yetkinliği | Develop new and / or original ideas and methods; develop innovative solutions for the system, part, and process design. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Have learning skills. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Be aware of innovative developments in the field of civil engineering, and analyse and learn them when needed. | 2 |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | ransfer process and results of the projects in the field of civil engineering or on national and international platforms in written or oral form. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Have knowledge in current techniques and methods applied in civil engineering. | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Use computer software as well as information and communication technologies at the level required in the field of civil engineering. | 1 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Oversee social, scientific and ethical values in all professional platforms. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction, Physical Problems, Mathematical Models, and the Finite Element Solution | Lecture notes. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | Finite Element Analysis as an Integral Part of Computer-Aided Engineering , Some Recent Research Accomplishments | Lecture notes. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Introduction to Matrices, Definition of Tensors, Vector and Matrix Norms. | Lecture notes. | Öğretim Yöntemleri: Anlatım |
| 4 | General Derivation of Finite Element Equilibrium Equations,Imposition of Displacement Boundary Conditions | Lecture notes. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Isoparametric Derivation of Beam Element Stiffness Matrix | Lecture notes. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Quadrilateral Elements, Triangular Elements | Lecture notes. | Öğretim Yöntemleri: Anlatım |
| 7 | Formulation of Structural Elements; Beam and Axisymmetric Shell Elements. | Lecture notes. | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | None | Ölçme Yöntemleri: Ödev |
| 9 | Formulation of Structural Elements; Plate and General Shell Elements. | Lecture notes. | Öğretim Yöntemleri: Anlatım |
| 10 | Three-Dimensional Solid Elements, Elastic Material Behavior-Generalization of Hooke's Law | Lecture notes. | Öğretim Yöntemleri: Anlatım |
| 11 | Solution of Equilibrium Equations in Static Analysis | Lecture notes. | Öğretim Yöntemleri: Anlatım |
| 12 | Finite Element Analysis of Heat Transfer | Lecture notes. | Öğretim Yöntemleri: Anlatım |
| 13 | Analysis of Field Problems, Seepage. | Lecture notes. | Öğretim Yöntemleri: Anlatım |
| 14 | Solution of Equilibrium Equations in Dynamic Analysis ;The Newmark Method. | Lecture notes. | Öğretim Yöntemleri: Anlatım |
| 15 | Solution of Equilibrium Equations in Dynamic Analysis ;The Central Difference Method. | Lecture notes. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | None | Öğretim Yöntemleri: Soru-Cevap |
| 17 | Term Exams | None | Ölçme Yöntemleri: Ödev |
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 | 1 | 20 | 20 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 20 | 20 |
| Total Workload (Hour) | 150 | ||
| Total Workload / 25 (h) | 6,00 | ||
| ECTS | 6 ECTS | ||