COURSE INTRODUCTION AND APPLICATION INFORMATION


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
 ME 208To succeed (To get a grade of at least DD)
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;
  • Define general steps of finite element methods.
  • Explain basic finite element formulation techniques.
  • Derive finite element formulation for mechanical and thermal problems.
  • Analyse basic problems in heat transfer and solid mechanics
  • Employ computer program based on finite element methods.
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

 



Course Category

Core Courses
Major Area Courses
X
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

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

 

EVALUATION SYSTEM

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

ECTS / WORKLOAD TABLE

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

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
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