Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
FINITE ELEMENT METHODS MKM 520 0 3 + 0 3 6
Ön Koşul Dersleri Strength of Materials, Engineering Materials and Engineering Mathematics
 Dersin Dili Türkçe Dersin Seviyesi Yüksek Lisans Dersin Türü SECMELI Dersin Koordinatörü Dr.Öğr.Üyesi İBRAHİM KUTAY YILMAZÇOBAN Dersi Verenler Dersin Yardımcıları Dersin Kategorisi Alanına Uygun Öğretim Dersin Amacı Giving students a numerical method that can solve complex problems faced by engineers or problems that can not be closed form solutions with an acceptable approximation Dersin İçeriği Linear Algebra and Tansorr Mechanics; Examination of Basic Finite Element Method approaches; Application Areas of the Finite Element Method and how to apply them; Introduction of simulation types (Analytical and Numerical Finite Element Methods under Elastic and Plastic Conditions, Stress-Strain Relations, Experimental Determination and Calculations of Mechanical Properties, Sample Problems and Simulation Applications.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - Calculates 1D, 2D and 3D Linear elastic problems with fundamental analytical approach by Finite Element Method. 1 - 2 - 3 - 4 - 15 - 16 - A - C - D - F - 2 - Makes problems simpler and simulatable. 1 - 2 - 3 - 4 - 5 - 6 - 9 - 12 - 16 - A - C - D - F - 3 - Simulates 1D, 2D and 3D Linear elastic problems in a fundamental way. 1 - 2 - 3 - 6 - 9 - 12 - 16 - A - C - D - F - 4 - Interprets computer aied simulation results in real terms. 1 - 2 - 3 - 4 - 6 - 10 - 15 - 16 - A - C - D - F -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion 4:Drilland Practice 5:Demonstration 6:Motivations to Show 9:Simulation 12:Case Study 16:Project Based Learning 10:Brain Storming 15:Problem Solving Ölçme Yöntemleri: A:Testing C:Homework D:Project / Design F:Performance Task

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Introduction, Basic concepts and application areas of Finite Element Method.
3 Linear Algebra fast repetition.
4 Introduction to elasticity, and Hooke equations.
5 Direct Stiffness Method and Linear Spring Element Approach.
6 Linear, Static Analysis of Bar and Beam Elements; Analytical and Simulation applications; Comparing with Basic Strength Problems and interpreting the results.
7 Distributed loads in bars, 2D and 3D Bar Elements, Transformation Matrices; Analytical and Simulation applications.
8 2D and 3D Beam Elements; Equivalent point loads of transverse distributed loads; Analytical and Simulation applications.
9 Analysis of Frame Systems with Finite Elements; Analytical and Simulation applications.
10 2D Problems: Plane Stress, Plane Strain, Stress-Stress Thermal Relations, Strain and Displacement, Boundary Conditions, Definite (Exact) Elastic Solution and Constant Stress Triangle (CST or T3) and Analytical Applications.
11 Linear Strain Triangle (LST or T6), Linear Quadrilateral Element (Q4), Quadratic Quadrilateral Element (Q8); Analytical and Simulation applications
12 Load Transformations and Stress calculation; Analytical and Simulation applications.
13 Finite Element Analysis Techniques.
14 1. Plane and Shell Elements. 2. 3D Solid Elements and Elasticity.
2 Element Types and Material Models; Numerical Analysis Approaches and Computer Technologies.

#### Kaynaklar

Ders Notu

Finite Element Lecture Notes

Ders Kaynakları

1. Finite Element Procedures 2nd Ed., K.J. Bathe, Prentice Hall, New Jersey, 1996.

2. A First Course in the Finite Element Method 5th Ed., Daryl L. Logan, Cengage Learning, Stamford USA, 2010.

3. An Introduction to the  Finite Element Method 3rd Ed., J.N. Reddy, McGraw-Hill, Singapore, 2006.

4. Finite Element Analysis: Theory and application with ANSYS, Saeed Moaveni, Prentice Hall, New Jersey, 1999.

5. FEM Simulations with Ansys Workbench 14, Theory, Applications, Case Studies, Huei Huang Lee, SDC Publications, 2014.

6. Elasticity, Theory, Applications, and Numerics 3rd Ed., Martin H. Sadd, Academic Press (Elsevier), Massachusetts, USA, 2014.

7. Schaum's Outlines: Linear Algebra 3rd Ed., Seymour Lipschutz, Marc Lars Lipson, McGraw-Hill, USA, 2001.

8. Lecture Notes 1997-2003: Introduction to the FEM, Yijun Liu, University of Cincinati, OH, USA.

9. Lecture Notes 2015: Finite Elements for Engineers, S.D. Rajan, Arizona State University, AZ, USA.

10. Lecture Notes 2014 Fall: Introduction to Finite Elements, Suvranu De, Rensselaer Polytechnic Institute, USA.

11. Finite Element Analysis Web Course 2015, S.K. Bhattacharyya, IIT Kharagpur NPTEL, India.

12. Lecture Notes 2015: Introduction to Finite Element Method, Madhukar Vable, Michigan Technological University, USA.

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 ability to access wide and deep information with scientific researches in the field of Engineering, evaluate, interpret and implement the knowledge gained in his/her field of study X
2 ability to complete and implement “limited or incomplete data” by using the scientific methods. X
3 ability to consolidate engineering problems, develop proper method(s) to solve and apply the innovative solutions to them X
4 ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or process X
5 gain comprehensive information on modern techniques, methods and their borders which are being applied to engineering X
6 ability to design and apply analytical, modelling and experimental based research, analyze and interpret the faced complex issues during the design and apply process X
7 gain high level ability to define the required information and data X
8 ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situations
9 systematic and clear verbal or written transfer of the process and results of studies at national and international environments
10 aware of social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, and announcement
11 aware of new and developing application of profession and ability to analyze and study on those applications
12 ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 20
Odev 1 20
PerformansGoreviUygulama 1 40
ProjeTasarim 1 20
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 10 10
Quiz 1 5 5
Assignment 1 25 25
Performance Task (Laboratory) 1 30 30
Toplam İş Yükü 150
Toplam İş Yükü /25(s) 6
Dersin AKTS Kredisi 6
; ;