Mechatronics Engineering Preview
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course General Introduction Information

Course Code:

MEK456

Course Name:

Finite Ellement Method

Course Semester:

Spring

Course Credits:

ECTS

Language of instruction:

Course Requirement:

Does the Course Require Work Experience?:

Type of course:

Departmental Elective

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator :

Ar.Gör. YUSUF COŞKUN

Course Lecturer(s):

Course Assistants:

Course Purpose and Content

Course Objectives:

The aim of the Finite Element Method course is to teach students the finite element method, a fundamental engineering method used in the analysis and design of complex structures. This method is a powerful tool used to mathematically express the complexity of real structures and simulate the behavior of these structures. The finite element method is widely used in solving engineering problems and optimization of structures. Here are the elements that explain the purpose of the Finite Element Method course in detail:

Course Objective:
Understanding Basic Principles:

To teach the basic principles and mathematical background of the finite element method.
To review the basic concepts and equations of structural mechanics.
Learning the Applicability of the Method:

To teach how to apply the finite element method and how to use it in modeling real structures.
To teach the steps and techniques for finite element modeling of different structural problems.
Practicing the Use of Finite Element Software:

To teach the use of commonly used finite element analysis software (e.g., ANSYS, Abaqus, COMSOL).
To provide the solution of different structural problems and interpretation of the results by means of software.
Investigation of Real Life Applications:

To explain how to solve real-life engineering problems with finite element method.
Providing practical examples through structural analysis and design projects.
Development of Analysis and Design Skills:

To develop students' ability to analyze and solve complex structural problems.
To increase their ability to analyze different behaviors of structural elements such as stress, buckling, vibration.
Teaching Optimization and Performance Improvement:

To teach how to integrate structural optimization techniques and design iterations with finite element analysis.
To explain how to use the results of finite element analysis to improve structural performance.
Providing Project-Based Learning Opportunities:

Provide students with project-based learning opportunities to analyze and solve complex structural problems.
Provide students with practical experience through projects based on real-world applications.
The Finite Element Method course provides students with the opportunity to solve engineering problems and develop structural analysis skills. It also contributes to the success of students in their engineering careers by enabling them to use the finite element method effectively in industrial applications and research projects.

Course Content:

1. Introduction and Basic Concepts
What is the finite element method?
History and development
Application areas and importance
2. Basic Mathematical and Mechanical Concepts
Review of vectors and tensors
Tensor notation and basic operators
Principles of continuum mechanics
3. Basic Principles of Finite Elements
Principle and principle of variation
Basic principles of finite element method
Combination functions and solution space
4. Finite Element Formulations
Finite element formulations of continuous media
Isoparametric elements and geometric transformations
Two and three dimensional element types
5. Linear and Nonlinear Problems in Finite Element Analysis
Linear elasticity and linear problems
Nonlinear material models and problems
Analysis of deviation from geometric and material linearity
6. Radial Forces and Vibrations in Finite Element Analysis
Finite element analysis of radial forces and thermal effects
Free vibration analysis and modal solutions
7. Dynamic Problems in Finite Element Analysis
Dynamic analysis techniques in the time domain
Impact loading and analysis of dynamic responses
Modal analysis and system dynamics
8. Finite Element Software and Applications
Use of finite element software such as ANSYS, Abaqus, COMSOL
Analysis of real-world applications and industrial projects
9. Optimization and Design Optimization
Topology optimization and structural design optimization
Integration of finite element analysis results into optimization processes
10. Advanced Topics in Finite Element Method
High-order finite elements and p-adaptation techniques
Superelements, Surface representative and Particle-based methods
This content is typically designed for one academic semester or a two-semester course and provides students with a broad foundation in the finite element method. By the end of this course, students gain the skills to analyze and solve real-world engineering problems.

Learning Outcomes

The students who have succeeded in this course;
1) Basic Principles of Finite Element Method: Understand the basic principles and mathematical background of the finite element method. To understand the relationship between variational principles and finite element approach. Applications of Finite Element Method: Apply finite element method for modeling and analyzing real structures. To be able to solve different engineering problems using finite element method. Use of Finite Element Software: To gain the ability to analyze using finite element software such as ANSYS, Abaqus, LS-DYNA. To be able to use the interfaces and functions of the software effectively. Analysis of Structural Behavior: To be able to analyze different structural behaviors such as structural strength, buckling, vibration and thermal analysis. Predicting structural behavior using different material models and loadings. Interpretation of Finite Element Analysis: To be able to interpret the results of finite element analysis and make inferences about real world problems. Evaluate the accuracy of the analysis results and question the reliability of the results. Optimization and Design Iterations: Gain the ability to perform structural design optimization using finite element analysis results. To be able to improve structural performance by design iterations. Engineering Applications: To gain the ability to approach and solve engineering problems using finite element analysis. To be able to use finite element method in applied projects for real world problems. Problem Solving and Critical Thinking Skills: To gain the ability to analyze, decompose and solve complex engineering problems. To be able to evaluate alternative solution approaches and approach problems from a critical perspective.

Course Flow Plan

Week	Subject	Related Preparation
1)	Linear elasticity and strength theory Finite element analysis of linear elastic structures Stress, buckling and vibration analysis by finite element method Deviation from material linearity and geometric linearity Material models: elastoplasticity, hyperelasticity, viscoelasticity Finite element analysis of nonlinear structures	Basic Mechanics and Mathematics Courses: Review of basic math topics such as vectors, matrices, differential equations. Understanding of important concepts of basic engineering courses such as strength, materials science, dynamics. Online Lecture Videos: Watching lecture videos on finite element method available on platforms such as YouTube. Introduction of basic topics and analyzing the videos for solving example problems. Online Lecture Notes and Resources: Utilizing online platforms where lecture notes and presentations of universities are available. Understanding the basic concepts by reviewing the lecture notes and source materials in advance. Finite Element Method Books: Reading or reviewing some chapters from the basic books of the course in advance. In particular, use books that explain the principles of finite element method and cover basic topics. Basic Mathematics and Programming Exercises: Solving basic mathematical problems with programming languages such as Matlab, Python. Question solutions and exercises to reinforce basic math concepts.

Sources

Course Notes / Textbooks:

Ders Notları:
"Introduction to the Finite Element Method: Theory, Programming, and Applications"

Yazar: Erik G. Thompson, Samuel Beale, and P. Wriggers
İçerik: Temel sonlu elemanlar yöntemi prensipleri, uygulamalar ve programlama konularını kapsayan kapsamlı bir kaynak.
"A First Course in the Finite Element Method"

Yazar: Daryl L. Logan
İçerik: Sonlu elemanlar yönteminin temel prensipleri, çeşitli mühendislik problemleri için sonlu elemanlar çözüm teknikleri ve pratik uygulamalar.

References:

"Finite Element Analysis: Theory and Application with ANSYS"

Yazar: Saeed Moaveni
İçerik: ANSYS yazılımı kullanılarak sonlu elemanlar yönteminin teorik ve pratik uygulamalarını içeren bir ders kitabı.
"Practical Finite Element Analysis"

Yazar: Nitin S. Gokhale
İçerik: Gerçek dünya mühendislik problemleri üzerinden sonlu elemanlar analizi yöntemlerinin uygulanması hakkında kapsamlı bir kılavuz.
"Fundamentals of Finite Element Analysis"

Yazar: David V. Hutton
İçerik: Sonlu elemanlar yönteminin temel prensipleri, matematiksel temelleri ve uygulamaları hakkında genel bir kılavuz.
"An Introduction to the Finite Element Method"

Yazar: J. N. Reddy
İçerik: Sonlu elemanlar yönteminin genel prensipleri, çeşitli uygulamaları ve gelişmiş konular hakkında detaylı bir ders kitabı.

Course - Learning Outcome Relationship

No Effect	1 Lowest	2 Medium	3 Highest

	Program Outcomes	Level of Contribution
1)	Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems.	3
2)	Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.	3
3)	Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose.	3
4)	Ability to devise, select, and use modern techniques and tools needed for analysing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.	3
5)	Ability to design and conduct experiments, gather data, analyse and interpret results for investigating complex engineering problems or discipline specific research questions.	3
6)	Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.	1
7)	Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.	2
8)	Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.	2
9)	Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.	2
10)	Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.	2
11)	Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions	3

Learning Activity and Teaching Methods

Anlatım
Course
Homework
Uygulama (Modelleme, Tasarım, Maket, Simülasyon, Deney vs.)

Measurement and Evaluation Methods and Criteria

Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama)
Homework
Uygulama
Bilgisayar Destekli Sunum

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Homework Assignments	2	% 10
Midterms	1	% 40
Final	1	% 50
total		% 100
PERCENTAGE OF SEMESTER WORK		% 50
PERCENTAGE OF FINAL WORK		% 50
total		% 100

İş Yükü ve AKTS Kredisi Hesaplaması

Activities	Number of Activities	Aktiviteye Hazırlık	Aktivitede Harçanan Süre	Aktivite Gereksinimi İçin Süre	Workload
Course Hours	14	4			56
Special Course Internship (Work Placement)	14	8			112
Homework Assignments	1	4			4
Midterms	1	2			2
Final	1	2			2
Total Workload					176