MK0028 Finite Elements: An Introduction

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

Information

Code MK0028
Name Finite Elements: An Introduction
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

Obtaining numerical solutions to Differential Equation commonly encountered in Applied Mechanics via Finite Element Analysis.

Course Content

Mathematical prelimininaries about interpolation of functions. Weak form of second-order differential equations and their discretization into elements. Problems in Mechanics. Stability and dynamic problems. Basic examples of nonlinear equations

Course Precondition

none

Resources

Lecture Notes

Notes

Finite Element Book


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Solutions of Differential Equations by Finite Elements will be presented.
LO02 Weak form of the equation and use of shape functions will be explained.
LO03 One-dimensional, linear, eigenvalue, dynamic and nonlinear equations in Mechanics will be solved.
LO04 Knowledge on the derivation of DE


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Understands and applies basic sciences, mathematics and engineering sciences at a high level. 5
PLO02 Beceriler - Bilişsel, Uygulamalı He/she has extensive and in-depth knowledge, including the latest developments in his/her field. 2
PLO03 Bilgi - Kuramsal, Olgusal They reach the latest information in a field and have a high level of proficiency in the methods and skills necessary to comprehend and research them. 5
PLO04 Yetkinlikler - Öğrenme Yetkinliği They carry out a comprehensive study that brings innovation to science and technology, develops a new scientific method or technological product/process, or applies a known method to a new field. 4
PLO05 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Independently perceives, designs, implements and concludes an original research process; manages this process. 5
PLO06 Yetkinlikler - Alana Özgü Yetkinlik Contributes to the science and technology literature by publishing the outputs of its academic studies in respected academic environments. 4
PLO07 Yetkinlikler - İletişim ve Sosyal Yetkinlik Evaluates scientific, technological, social and cultural developments and conveys them to the society with the awareness of scientific impartiality and ethical responsibility. 2
PLO08 Belirsiz Performs critical analysis, synthesis and evaluation of ideas and developments in the field of expertise. 4
PLO09 Yetkinlikler - Öğrenme Yetkinliği Communicates effectively, both verbally and in writing, with those working in the field of specialization and the wider scientific and social community, communicating and discussing at an advanced level of written, oral and visual communication using a foreign language at least at the C1 General Level of the European Language Portfolio. 5
PLO10 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Carries out literature search


Week Plan

Week Topic Preparation Methods
1 Mathematical Preliminaries Reading the lecture notes Öğretim Yöntemleri:
Anlatım
2 Interpolation of Functions Reading the lecture notes Öğretim Yöntemleri:
Anlatım
3 Weighted Residual Method Reading the lecture notes Öğretim Yöntemleri:
Anlatım
4 Examples in Thermodynamics Reading the lecture notes Öğretim Yöntemleri:
Anlatım
5 The anatomy of a Linear second-order equation Reading the lecture notes Öğretim Yöntemleri:
Anlatım
6 Constructing the Finite Element Structure Reading the lecture notes Öğretim Yöntemleri:
Anlatım
7 Examples in Solid Mechanics Reading the lecture notes Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Ölçme Yöntemleri:
Yazılı Sınav
9 Examples in Fluid Mechanics Reading the lecture notes Öğretim Yöntemleri:
Anlatım
10 Fourth-order Problems Reading the lecture notes Öğretim Yöntemleri:
Anlatım
11 Examples in Beam Analysis Reading the lecture notes Öğretim Yöntemleri:
Anlatım
12 Time-Dependent Problems Reading the lecture notes Öğretim Yöntemleri:
Anlatım
13 System of Difeerential Equations Reading the lecture notes Öğretim Yöntemleri:
Anlatım
14 Eigenvalue Problems Reading the lecture notes Öğretim Yöntemleri:
Anlatım
15 Nonlinear Finite Elements Reading the lecture notes Öğretim Yöntemleri:
Anlatım
16 Term Exams Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams 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: 14.05.2024 11:03