İM590 Applications of finite Element Method.

6 ECTS - 4-0 Duration (T+A)- . Semester- 4 National Credit

Information

Code İM590
Name Applications of finite Element Method.
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 4-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 4 National Credit
Teaching Language Türkçe
Level Doktora Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. BEYTULLAH TEMEL


Course Goal / Objective

This course will train you to analyse real world structural mechanics problems using the finite element method. You will be introduced to the mathematical basis of finite element analysis.

Course Content

Variational Notation. Galerkin formulations. Plane elasticity. Brief information about plates and shells. Isoparametric coordinates. Special value and time dependent problems. Programming techniques and introduction of existing package programs.

Course Precondition

No requirements

Resources

1) Finite Element Method, G. Dhatt and G. Touozot and E. Lefrançois, Wiley, 2012. 2) An Introduction to the Finite Element Method, J. N. Reddy. Mc-Graw Hill, 3. rd Edition (2006)

Notes

Mathematica Software


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Students will have knowledge about how to apply finite elements in physical problems.
LO02 The student begins to recognize the current finite element package programs used in the market.
LO03 Student will have detailed information about matrices, tensors.
LO04 Student will have knowledge about derivation of equilibrium equation.
LO05 The student understands how to obtain the stiffness equation.
LO06 Students will have information about quadrilateral and triangular finite elements.
LO07 Students learn formulation of beams and axisymmetric structural elements.
LO08 Students learn formulation of plate and shell elements.
LO09 Students will have information about 3D finite elements.
LO10 Students will have an idea about how to handle static analysis problems.
LO11 Students will have an idea about how to handle heat transfer problems.
LO12 Students will have an idea about how to handle seapage analysis problems.
LO13 Students will have an idea about how to handle dynamic analysis.
LO14 Students will have an idea about how to solve dynamic analysis problems.
LO15 Have an idea about how to interpret dynamic analysis results.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Have knowledge and understanding at advanced level providing required basis for original projects in the field of civil engineering based on qualifications gained at undergraduate level. 5
PLO02 Bilgi - Kuramsal, Olgusal Gain required knowledge through scientific research in the field of engineering, evaluate, interpret and apply data. 4
PLO03 Yetkinlikler - Öğrenme Yetkinliği Be aware of new and emerging applications,examine and learn where necessary.
PLO04 Yetkinlikler - Öğrenme Yetkinliği Construct engineering problems, develop strategies to solve them, and apply innovative methods for solutions. 3
PLO05 Yetkinlikler - Öğrenme Yetkinliği Design and implement analytical modeling and experimental research and solve complex situations encountered in this process.
PLO06 Yetkinlikler - Öğrenme Yetkinliği Develop new and / or original ideas and methods; develop innovative solutions for the system, part, and process design.
PLO07 Beceriler - Bilişsel, Uygulamalı Have learning skills.
PLO08 Beceriler - Bilişsel, Uygulamalı Be aware of innovative developments in the field of civil engineering, and analyse and learn them when needed. 2
PLO09 Beceriler - Bilişsel, Uygulamalı ransfer process and results of the projects in the field of civil engineering or on national and international platforms in written or oral form.
PLO10 Beceriler - Bilişsel, Uygulamalı Have knowledge in current techniques and methods applied in civil engineering.
PLO11 Beceriler - Bilişsel, Uygulamalı Use computer software as well as information and communication technologies at the level required in the field of civil engineering. 1
PLO12 Bilgi - Kuramsal, Olgusal Oversee social, scientific and ethical values in all professional platforms.


Week Plan

Week Topic Preparation Methods
1 Introduction, Physical Problems, Mathematical Models, and the Finite Element Solution Lecture notes. Öğretim Yöntemleri:
Anlatım, Problem Çözme
2 Finite Element Analysis as an Integral Part of Computer-Aided Engineering , Some Recent Research Accomplishments Lecture notes. Öğretim Yöntemleri:
Anlatım, Problem Çözme
3 Introduction to Matrices, Definition of Tensors, Vector and Matrix Norms. Lecture notes. Öğretim Yöntemleri:
Anlatım
4 General Derivation of Finite Element Equilibrium Equations,Imposition of Displacement Boundary Conditions Lecture notes. Öğretim Yöntemleri:
Anlatım, Problem Çözme
5 Isoparametric Derivation of Beam Element Stiffness Matrix Lecture notes. Öğretim Yöntemleri:
Anlatım, Problem Çözme
6 Quadrilateral Elements, Triangular Elements Lecture notes. Öğretim Yöntemleri:
Anlatım
7 Formulation of Structural Elements; Beam and Axisymmetric Shell Elements. Lecture notes. Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam None Ölçme Yöntemleri:
Ödev
9 Formulation of Structural Elements; Plate and General Shell Elements. Lecture notes. Öğretim Yöntemleri:
Anlatım
10 Three-Dimensional Solid Elements, Elastic Material Behavior-Generalization of Hooke's Law Lecture notes. Öğretim Yöntemleri:
Anlatım
11 Solution of Equilibrium Equations in Static Analysis Lecture notes. Öğretim Yöntemleri:
Anlatım
12 Finite Element Analysis of Heat Transfer Lecture notes. Öğretim Yöntemleri:
Anlatım
13 Analysis of Field Problems, Seepage. Lecture notes. Öğretim Yöntemleri:
Anlatım
14 Solution of Equilibrium Equations in Dynamic Analysis ;The Newmark Method. Lecture notes. Öğretim Yöntemleri:
Anlatım
15 Solution of Equilibrium Equations in Dynamic Analysis ;The Central Difference Method. Lecture notes. Öğretim Yöntemleri:
Anlatım, Problem Çözme
16 Term Exams None Öğretim Yöntemleri:
Soru-Cevap
17 Term Exams None Ölçme Yöntemleri:
Ödev


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 4 56
Assesment Related Works
Homeworks, Projects, Others 1 20 20
Mid-term Exams (Written, Oral, etc.) 1 12 12
Final Exam 1 20 20
Total Workload (Hour) 150
Total Workload / 25 (h) 6,00
ECTS 6 ECTS

Update Time: 14.05.2024 11:45