COMPUTER ENGINEERING
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code	Course Name	Semester	Theoretical	Practical	Credit	ECTS
MCH4205	Introduction to Finite Element Methods	Spring	3	0	3	6

This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction:	English
Type of course:	Non-Departmental Elective
Course Level:	Bachelor’s Degree (First Cycle)
Mode of Delivery:	Face to face
Course Coordinator :	Assoc. Prof. ARMAĞAN FATİH KARAMANLI
Recommended Optional Program Components:	None
Course Objectives:	The objective of this course is to equip the student with theoretical finite element methods background as well as practical experience. Matrix algebra, truss and beam element formulations, 1D, 2D and 3D element formulations and their analysis procedures will be shown within the theoretical content of that course. Hypermesh, Radioss Linear and Nastran software packages will be introduced.

Learning Outcomes

The students who have succeeded in this course;
I. Define the CAE methodologies and Finite Element Methods.
II. Explain the commrecial software packages and their application areas.
III. Describe the FEM philosophy and alternative methodologies.
IV. Describe basic geometric functions and meshing operations in Hyperworks, geometry clean-up, mesh editing and element quality check tools.
V. Apply linear 1D element formulations in solving the problems of different disciplines.
VI. Analyse one dimensional and two dimensional problems with 1D elements.
VII. Analyse the plane and space truss systems with Finite Element Methods.
VIII. Analyse the 2D and 3D systems under static loading by using Hypermesh software and with Radioss Linear and Nastran solvers.
IX. Explain 1D, 2D and 3D elastosatics, local and global shape functions.
X. Analyse the 2D and 3D systems in frequency domain, modal and frequency response analysis in Hyperworks.

Course Content

Methods in Computer Aided Engineering; Matrix Algebra Review, Introduction to Hypermesh; FEM Philosophy, Seven Steps of FEM.; Basic Functions in Hypermesh; Linear 1D Element Formulations with Spring Analogy and Assembly Process in 1D.; Hyperworks: Basic Geometric Functions in Hypermesh; 1D Elastostatic and Heat Transfer Problems, Applying Boundary Conditions with Direct and Elimination Methods.; Hyperworks: 1D and 2D Meshing in Hypermesh, Element Types for Different Solvers; Analysis of One-Dimensional Problems.; Hyperworks: 3D Meshing in Hypermesh, Element Types for Different Solvers Assembly Process in 2D for 1D elements. Hyperworks: Geometry Clean Up and Model Checking, Element Quality, Free Edge, Duplicate and Element Normal Checks, Mesh Editing Plane and Space Trusses, Material.;Hyperworks: Property and Component Definitions, Card Types for Different Solvers, Beam elements.
Hyperworks: Midsurface Generations, 2D Static Analysis - Preporcess in Hypermesh for Radioss Linear Solver, and Post Process in Hyperview; 1D Elastostatics, ID and IEN arrays.
Hyperworks: 3D Static Analysis - Preporcess in Hypermesh for Radioss Linear Solver, and Post Process in Hyperview, 3D Static Analysis in Nastran; Local and Global Shape Function Construction for 1D Linear Elements. Hyperworks: Modeling Tricks and Techniques for Assemblies - Point Welds, Welds, Brazing, Bolts; Local and Global Shape Function Construction for 1D Quadratic Elements. Hyperworks: Static Analysis for Assembled Structures 2D Elastostatics. Hyperworks: Introduction to NVH, Modal Analysis with Radioss Linear and Nastran; 2D Elastostatics cont'd, Introduction to 3D Elastostatics. Hyperworks: Frequency Response Analysis with Radioss Linear and Nastran

Weekly Detailed Course Contents

Week	Subject	Related Preparation
1)	Methods in Computer Aided Engineering
2)	Matrix Algebra Review, Introduction to Hypermesh
3)	FEM Philosophy, Seven Steps of FEM. Hyperworks: Basic Functions in Hypermesh
4)	Linear 1D Element Formulations with Spring Analogy and Assembly Process in 1D. Hyperworks: Basic Geometric Functions in Hypermesh
5)	1D Elastostatic and Heat Transfer Problems, Applying Boundary Conditions with Direct and Elimination Methods. Hyperworks: 1D and 2D Meshing in Hypermesh, Element Types for Different Solvers
6)	Analysis of One-Dimensional Problems. Hyperworks: 3D Meshing in Hypermesh, Element Types for Different Solvers
7)	Assembly Process in 2D for 1D elements. Hyperworks: Geometry Clean Up and Model Checking, Element Quality, Free Edge, Duplicate and Element Normal Checks, Mesh Editing
8)	Plane and Space Trusses, Material. Hyperworks: Property and Component Definitions, Card Types for Different Solvers
9)	Trusses cont'd, Beam elements. Hyperworks: Midsurface Generations, 2D Static Analysis -Preporcess in Hypermesh for Radioss Linear Solver, and Post Process in Hyperview
10)	1D Elastostatics, ID and IEN arrays. Hyperworks: 3D Static Analysis - Preporcess in Hypermesh for Radioss Linear Solver, and Post Process in Hyperview, 3D Static Analysis in Nastran
11)	Local and Global Shape Function Construction for 1D Linear Elements. Hyperworks: Modeling Tricks and Techniques for Assemblies - Point Welds, Welds, Brazing, Bolts
12)	Local and Global Shape Function Construction for 1D Quadratic Elements. Hyperworks: Static Analysis for Assembled Structures
13)	2D Elastostatics. Hyperworks: Introduction to NVH, Modal Analysis with Radioss Linear and Nastran
14)	2D Elastostatics cont'd, Introduction to 3D Elastostatics. Hyperworks: Frequency Response Analysis with Radioss Linear and Nastran

Sources

Course Notes / Textbooks:

Lecture Notes

References:

Saeed Moaveni, “Finite Element Analysis, Theory and Application with Ansys”, Pearson International Edition, 3rd Ed., ISBN-10: 0-13-241651-4, ISBN 13: 978-0-13-241651-1.

Robert D. Cook, David S. Malkus, Micheal E. Plesha, Robert J. Witt, “Concepts and Applications of Finite Element Analysis”, John Wiley & Sons, Inc., 4th Ed., ISBN 978-0-471-35605-9.

Klaus-Jurgen Bathe, “Finite Element Procedures”, Prentice Hall, ISBN 0-13-301458-4.

Zhangxin Chen, “Finite Element Methods and Their Applications”, Springer, ISBN 3-540-24078-0.

Evaluation System

Semester Requirements	Number of Activities	Level of Contribution
Attendance	14	% 0
Homework Assignments	5	% 10
Project	1	% 50
Total		% 60
PERCENTAGE OF SEMESTER WORK		% 10
PERCENTAGE OF FINAL WORK		% 50
Total		% 60

ECTS / Workload Table

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	2	28
Laboratory	14	2	28
Study Hours Out of Class	14	4	56
Project	1	10	10
Homework Assignments	5	4	20
Total Workload			142

Contribution of Learning Outcomes to Programme Outcomes

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	Adequate knowledge in mathematics, science and computer engineering; the ability to use theoretical and practical knowledge in these areas in complex engineering problems.
2)	Ability to identify, formulate, and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose.	2
3)	Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose.	3
4)	Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in computer engineering applications; ability to use information technologies effectively.
5)	Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or computer engineering research topics.	3
6)	Ability to work effectively within and multi-disciplinary teams; individual study skills.	2
7)	Ability to communicate effectively in verbal and written Turkish; knowledge of at least one foreign language; ability to write active reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
8)	Awareness of the necessity of lifelong learning; ability to access information, to follow developments in science and technology and to renew continuously.
9)	To act in accordance with ethical principles, professional and ethical responsibility; information on the standards used in engineering applications.
10)	Information on business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; information about sustainable development.
11)	Knowledge of the effects of engineering practices on health, environment and safety in the universal and social scale and the problems of the era reflected in engineering; awareness of the legal consequences of engineering solutions.