ECONOMICS | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
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. |
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. |
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. |
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 |
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 |
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. |
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 |
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 |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | As a world citizen, she is aware of global economic, political, social and ecological developments and trends. | 2 |
2) | He/she is equipped to closely follow the technological progress required by global and local dynamics and to continue learning. | 2 |
3) | Absorbs basic economic principles and analysis methods and uses them to evaluate daily events. | 2 |
4) | Uses quantitative and statistical tools to identify economic problems, analyze them, and share their findings with relevant stakeholders. | 2 |
5) | Understands the decision-making stages of economic units under existing constraints and incentives, examines the interactions and possible future effects of these decisions. | 1 |
6) | Comprehends new ways of doing business using digital technologies. and new market structures. | 2 |
7) | Takes critical approach to economic and social problems and develops analytical solutions. | 1 |
8) | Has the necessary mathematical equipment to produce analytical solutions and use quantitative research methods. | 2 |
9) | In the works he/she contributes, observes individual and social welfare together and with an ethical perspective. | 2 |
10) | Deals with economic problems with an interdisciplinary approach and seeks solutions by making use of different disciplines. | 1 |
11) | Generates original and innovative ideas in the works she/he contributes as part of a team. | 2 |