MN0022 Finite Element Analysis in Engineering

6 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

Information

Code MN0022
Name Finite Element Analysis in Engineering
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language İngilizce
Level Doktora Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator


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

None

Resources

Lecture Notes

Notes

Lecture Notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Learns the basic concepts of finite element method.
LO02 Learns some classical element shapes and shape functions.
LO03 Gets information about the approach on one-dimensional, two-dimensional and three-dimensional reference elements.
LO04 Students will have an idea about how the shape functions will be formed.
LO05 The student will be able to learn how to implement shape functions.
LO06 Students will be able to learn the integral formulations of engineering problems, discrete systems, continuous systems, linear equations, nonlinear equations, the method of weighted-residues, integral transformations and the weak integral form.
LO07 Students will be informed about Variation calculus, variational notation, Euler differential equation and the discretization of integral forms.
LO08 Students will be able to choose the weight function, collocation with sub-regions, Galerkin method, Galerkin method with partial integration, least squares method.
LO09 The students who have taken this course will have knowledge about how to use the matrix notation in the finite element method and the transformation of the integral region.
LO10 The student will be informed about how the element stiffness and mass matrices are calculated with finite elements.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Based on the qualifications gained during PhD studies, develops and deepens the current and advanced knowledge in the area by unique means of thinking and / or research at mastery level and comes up with original definitions which bring about novelty to the area. 5
PLO02 Beceriler - Bilişsel, Uygulamalı Can effectively use the equipment used in the field.
PLO03 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Selects experimental measurement methods of various physical quantities and uses instruments in accordance with their sensitivity limits. 3
PLO04 Yetkinlikler - Alana Özgü Yetkinlik Interprets experimental and observational results.
PLO05 Yetkinlikler - Öğrenme Yetkinliği Can draw conclusions from the information obtained during the preparation for the PhD qualifying exam. 4
PLO06 Bilgi - Kuramsal, Olgusal Can interpret the information acquired about the field orally and in writing. 4
PLO07 Bilgi - Kuramsal, Olgusal Uses mathematical methods related to the field of study. 5
PLO08 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Have knowledge about the logic, design, conclusion and dissemination of results of scientific research. 4
PLO09 Bilgi - Kuramsal, Olgusal Uses the theoretical and applied knowledge gained in the field of materials and nanotechnology at the level of expertise.
PLO10 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Gains high-level skills in using research methods in studies related to materials science and nanotechnology.
PLO11 Bilgi - Kuramsal, Olgusal Develops a scientific method that brings innovation to science.
PLO12 Yetkinlikler - Alana Özgü Yetkinlik Makes critical analysis, synthesis and evaluation of new ideas related to the field. 3
PLO13 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Can carry out independent research on a specific topic related to materials and nanotechnology. 4
PLO14 Yetkinlikler - İletişim ve Sosyal Yetkinlik Be able to lead in the execution of interdisciplinary studies.
PLO15 Yetkinlikler - Öğrenme Yetkinliği Follows the developments in the her/his field of study and constantly renews herself/himself. 3
PLO16 Bilgi - Kuramsal, Olgusal Calculate the predictions of the theories and compare them with the experimental results. 5
PLO17 Yetkinlikler - Öğrenme Yetkinliği Comprehends the interdisciplinary interaction that the field of study is related to.
PLO18 Yetkinlikler - Alana Özgü Yetkinlik He/she shares his/her own ideas and suggestions regarding the problems in the field of study with groups in and outside the field by supporting them with quantitative and qualitative data. 3
PLO19 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Can develop original solutions for problems in the field.
PLO20 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Can prepare a scientific article and publish scientific articles in international refereed journals. 5


Week Plan

Week Topic Preparation Methods
1 Introduction, Basic Concepts, General Parametric Approach, Objectives of Parametric Approach, Approach with Nodes, Approach with Finite Elements, Geometric Descriptions of Elements,Meshing. Lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
2 Some classical element shapes, shape functions, examples. Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
3 One-dimensional, two-dimensional and three-dimensional reference elements, Approaches based on the reference elements, examples. Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
4 Formation of shape functions. Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
5 Applications of shape functions. Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
6 Integral formulations of engineering problems, discrete systems, continuous systems, linear equations, nonlinear equations, weighted-residual method, Integral transformations, Weak integral form Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
7 Variation calculation, variational notation, Euler's differential equation, Discretization of integral forms. Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
8 Mid-term Exam Ölçme Yöntemleri:
Yazılı Sınav
9 Selection of weight function, Collocation with subregions, Galerkin method, Galerkin method with partial integration, least squares method. Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
10 Finite element method with matrix notation, transformation of integral region. Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
11 Calculation of element matrices, examples, element mass matrix, geometric transformation. Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
12 Dynamic loading, coding technique for sysytem rigidity and mass matrix calculations , system equation, boundary conditions. Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
13 numerical applications for Shape functions Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
14 numerical applications for Galerkin method Lecture notes Öğretim Yöntemleri:
Problem Çözme
15 numerical applications for Matrix notation Lecture notes Öğretim Yöntemleri:
Problem Çözme
16 Review Lecture notes Ölçme Yöntemleri:
Yazılı Sınav
17 Final Ölçme Yöntemleri:
Yazılı Sınav


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 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 10.05.2024 12:09