Finite Element Analysis of Mechanical Systems
Mechatronics Engineering
Institute of Natural and Applied Sciences
Second Cycle (Master's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Finite Element Analysis of Mechanical Systems | MKT507 | Elective | Master's degree | 1 | Fall | 8 |
Name of Lecturer(s)
Assistant Prof. Dr. Serkan ZEREN
Learning Outcomes of the Course Unit
1) Identify mathematical model for solution of common engineering problems.
2) Formulate simple problems into finite elements.
3) Solve the system of equations.
4) Model and solve structural, thermal and fluid flow problems.
5) Construct finite element model for two dimensional truss problems.
Program Competencies-Learning Outcomes Relation
| Program Competencies | |||||
| 1 | 2 | 3 | 4 | ||
| Learning Outcomes | |||||
| 1 | Middle | No relation | Low | No relation | |
| 2 | Middle | Low | Low | No relation | |
| 3 | High | No relation | Low | No relation | |
| 4 | High | No relation | Low | No relation | |
| 5 | Low | Low | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
n/a
Course Contents
Application areas of finite element method in engineering. Approximate solution of engineering problems. Formulations of finite element method. Numerical integration methods. The solution of linear systems and ill-conditioned systems. In static problems of mechanical systems, formulation of the element stiffness matrix, the assembly of the global stiffness matrix, and implementations of boundary conditions. Obtaining mass matrix and force vectors in dynamic problems. Introduction to Finite Elements Package software. Analysis of 2D and 3D static and dynamic problems of mechanical systems.
Weekly Schedule
1) Introduction to FEM2) Fundamentals of mechanics and essential mathematics
3) Direct Approach
4) Introduction to Finite element software package.
5) Strong and weak forms for 1D and 2D problems
6) Formulation of finite elements. Element stiffness matrix. Global stiffness matrix
7) FEM in one dimension. Beam element
8) 2-D elements. Plate bending element
9) Midterm Exam.
10) Static analysis. Boundary conditions
11) Dynamics problem. Mass and inertia matrices.
12) Eigenvalue problems. Vibrations analysis
13) Time integration. transient analysis.
14) Computer implementation of FEM using the software package
15) Project presentations.
16) Final Exam.
Recommended or Required Reading
1- J. N. Reddy, An Introduction to the Finite Element Method, McGraw-Hill Educationl, 4th edition, 2018
2- S.S.Rao, The Finite Element Method in Engineering, Elsevier Butterworth-Heinemann, 5th edition, 2010
3- M. Petyt, Introduction to Finite Element Vibration Analysis, Cambridge University Press, 2nd edition, 2010
4- O.C. Zienkiewicz, R. L. Taylor, J.Z. Zhu, The Finite Element Method: Its Basis and Fundamentals, Elsevier Butterworth-Heinemann, 6th edtion , 2005
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Simulation
4) Project Based Learning
Assessment Methods and Criteria
Contribution of Semester Studies to Course Grade |
60% |
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Contribution of Final Examination to Course Grade |
40% |
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Total | 100% | |||||||||||
Language of Instruction
Turkish
Work Placement(s)
Not Required