MCH4205 Introduction to Finite Element MethodsBahçeşehir UniversityDegree Programs ELECTRICAL AND ELECTRONICS ENGINEERINGGeneral Information For StudentsDiploma SupplementErasmus Policy StatementNational QualificationsBologna Commission
ELECTRICAL AND ELECTRONICS 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 Fall 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 electric-electronic engineering subjects; ability to use theoretical and applied information in these areas to model and solve engineering problems.
2) Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
3) Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues, according to the nature of the design.)
4) Ability to devise, select, and use modern techniques and tools needed for electrical-electronic engineering practice; ability to employ information technologies effectively.
5) Ability to design and conduct experiments, gather data, analyze and interpret results for investigating engineering problems.
6) Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7) Ability to communicate effectively in English and Turkish (if he/she is a Turkish citizen), both orally and in writing.
8) Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9) Awareness of professional and ethical responsibility.
10) Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development.
11) Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions.