Course Name | Finite Element Method |
Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
---|---|---|---|---|---|
MCE 422 | Fall/Spring | 2 | 2 | 3 | 6 |
Prerequisites |
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Course Language | English | ||||||||
Course Type | Elective | ||||||||
Course Level | First Cycle | ||||||||
Mode of Delivery | - | ||||||||
Teaching Methods and Techniques of the Course | |||||||||
Course Coordinator | |||||||||
Course Lecturer(s) | |||||||||
Assistant(s) | - |
Course Objectives | This course is designed to introduce the basic fundamentals of the finite element methods, simple one-dimensional problems, continuing to two- and three-dimensional elements, some applications in heat transfer, solid mechanics and fluid mechanics. The course covers modeling, mathematical formulation, and computer implementation. |
Learning Outcomes | The students who succeeded in this course;
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Course Description | Direct method, Energy method and Methods of Weighted Residuals to construct FEM formulation, 1-D elements, bars, truss systems, beams, frames, 2-D linear and quadratic elements based on plane stress and plane strain assumptions, heat transfer problems. |
Related Sustainable Development Goals | |
| Core Courses | |
Major Area Courses | X | |
Supportive Courses | ||
Media and Managment Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Required Materials |
1 | Introduction and background, basic matrix operations | Ch.1, Sec. 1.1-1.3 S. Moaveni. Finite Element Analysis: Theory and Application with ANSYS. Prentince Hall, NJ, 1999, Lecture Notes |
2 | Common procedures in FEM, discretization | Ch.1, Sec. 1.1-1.3 S. Moaveni. Finite Element Analysis: Theory and Application with ANSYS. Prentince Hall, NJ, 1999, Lecture Notes |
3 | Direct method, bar elements, heat transfer problems | Ch.1, Sec. 1.4-1.5 S. Moaveni. Finite Element Analysis: Theory and Application with ANSYS. Prentince Hall, NJ, 1999, Lecture Notes |
4 | Energy method, weighted residual method | Ch.1, Sec. 1.5-1.9 S. Moaveni. Finite Element Analysis: Theory and Application with ANSYS. Prentince Hall, NJ, 1999, Lecture Notes |
5 | Trusses, topology matrix and computer implementation | Ch.2, S. Moaveni. Finite Element Analysis: Theory and Application with ANSYS. Prentince Hall, NJ, 1999, Lecture Notes |
6 | Shape functions, local coordinates | Ch.3, S. Moaveni. Finite Element Analysis: Theory and Application with ANSYS. Prentince Hall, NJ, 1999, Lecture Notes |
7 | Energy principles for deformable solids | Ch.2 S. S. Quek, G. R. Liu. Finite Element Method: A Practical Course with ABAQUS. Butterwoth-Heinmann, 2003 |
8 | Energy method, beam elements | Ch.5 S. S. Quek, G. R. Liu. Finite Element Method: A Practical Course with ABAQUS. Butterwoth-Heinmann, 2003 |
9 | Frame structures | Ch.6 S. S. Quek, G. R. Liu. Finite Element Method: A Practical Course with ABAQUS. Butterwoth-Heinmann, 2003 |
10 | 2-D problems, plane stress, plane strain | Ch.6, Sec. 7.1 S. S. Quek, G. R. Liu. Finite Element Method: A Practical Course with ABAQUS. Butterwoth-Heinmann, 2003, Lecture notes |
11 | Linear Triangular and rectangular elements, local coordinates | Ch.6, Sec. 7.1 S. S. Quek, G. R. Liu. Finite Element Method: A Practical Course with ABAQUS. Butterwoth-Heinmann, 2003, Lecture notes |
12 | Linear quadrilateral elements, local coordinates, Jacobian | Ch.6, Sec. 7.2-7.3 S. S. Quek, G. R. Liu. Finite Element Method: A Practical Course with ABAQUS. Butterwoth-Heinmann, 2003, Lecture notes |
13 | Higher order elements, computer implementation | Ch.6, Sec. 7.5 S. S. Quek, G. R. Liu. Finite Element Method: A Practical Course with ABAQUS. Butterwoth-Heinmann, 2003, Lecture notes |
14 | Numerical Integration | Ch.6, Sec. 7.7 S. S. Quek, G. R. Liu. Finite Element Method: A Practical Course with ABAQUS. Butterwoth-Heinmann, 2003, Lecture notes |
15 | Review | |
16 | Review |
Course Notes/Textbooks | S. Moaveni. Finite Element Analysis: Theory and Application with ANSYS. Prentince Hall, NJ, 1999 |
Suggested Readings/Materials | S. S. Quek, G. R. Liu. Finite Element Method: A Practical Course with ABAQUS. Butterwoth-Heinmann, 2003 |
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | ||
Portfolio | ||
Homework / Assignments | 5 | 15 |
Presentation / Jury | ||
Project | 2 | 20 |
Seminar / Workshop | ||
Oral Exam | ||
Midterm | 1 | 20 |
Final Exam | 1 | 45 |
Total |
Weighting of Semester Activities on the Final Grade | 8 | 65 |
Weighting of End-of-Semester Activities on the Final Grade | 1 | 35 |
Total |
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Course Hours (Including exam week: 16 x total hours) | 16 | 2 | 32 |
Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | 2 | |
Study Hours Out of Class | 16 | 1 | 16 |
Field Work | |||
Quizzes / Studio Critiques | |||
Portfolio | |||
Homework / Assignments | 5 | 7 | |
Presentation / Jury | |||
Project | 2 | 15 | |
Seminar / Workshop | |||
Oral Exam | |||
Midterms | 1 | 15 | |
Final Exams | 1 | 20 | |
Total | 180 |
# | Program Competencies/Outcomes | * Contribution Level | ||||
1 | 2 | 3 | 4 | 5 | ||
1 | To have knowledge in Mathematics, science, physics knowledge based on mathematics; mathematics with multiple variables, differential equations, statistics, optimization and linear algebra; to be able to use theoretical and applied knowledge in complex engineering problems | X | ||||
2 | To be able to identify, define, formulate, and solve complex mechatronics engineering problems; to be able to select and apply appropriate analysis and modeling methods for this purpose. | X | ||||
3 | To be able to design a complex electromechanical system, process, device or product with sensor, actuator, control, hardware, and software to meet specific requirements under realistic constraints and conditions; to be able to apply modern design methods for this purpose. | X | ||||
4 | To be able to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Mechatronics Engineering applications; to be able to use information technologies effectively. | X | ||||
5 | To be able to design, conduct experiments, collect data, analyze and interpret results for investigating Mechatronics Engineering problems. | |||||
6 | To be able to work effectively in Mechatronics Engineering disciplinary and multidisciplinary teams; to be able to work individually. | X | ||||
7 | To be able to communicate effectively in Turkish, both in oral and written forms; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively, to be able to give and receive clear and comprehensible instructions. | |||||
8 | To have knowledge about global and social impact of engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of engineering solutions. | |||||
9 | To be aware of ethical behavior, professional and ethical responsibility; information on standards used in engineering applications. | |||||
10 | To have knowledge about industrial practices such as project management, risk management and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development. | |||||
11 | Using a foreign language, he collects information about Mechatronics Engineering and communicates with his colleagues. ("European Language Portfolio Global Scale", Level B1) | X | ||||
12 | To be able to use the second foreign language at intermediate level. | |||||
13 | To recognize the need for lifelong learning; to be able to access information; to be able to follow developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Mechatronics Engineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest