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Description of Individual Course UnitsCourse Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | 180104007105 | FINITE ELEMENTS - I | Elective | 4 | 7 | 5 |
| Level of Course Unit | First Cycle | Objectives of the Course | The finite element method is now widely used in the numerical solution of differential equations in solid mechanics, fluid mechanics, heat transfer and other engineering fields. This course is an introduction to the theory of the finite element method and its application in mechanical engineering. This course is divided into two parts:
1. Studying the theories and concepts in the background of the finite element method with simple 1-Dimensional and 2-Dimensional examples,
2. Application of this method in solving engineering problems using ANSYS, a commercial finite element program.
Theory and practice will be intertwined throughout the semester. Examples of topics covered by the course are: 2-Dimensional and 3-Dimensional stress analysis (linear and non-linear), thermal analysis, modeling techniques and evaluation of results.
ANSYS commercial program has an important place in the teaching of this course. Students taking the course will learn to solve more complex problems using ANSYS instead of writing their own programs for simple problems. | Name of Lecturer(s) | Doktor Öğretim Üyesi Gökçen AKGÜN | Learning Outcomes | 1 | To understand the fundamentals of physical and mathematical theory underlying the finite element method | 2 | 2. Understand the advantages and limitations of the finite element method | 3 | 3. To understand the element types that exist in the commercial program of ANYS and to be able to choose the appropriate element type depending on the analysis method. | 4 | 4. To be able to create a finite element model to reflect the loads and supports that the structure to be analyzed will be exposed in use as much as possible. | 5 | 5. To be able to analyze 2-D and 3-Dimensional structural design problems using ANSYS commercial program | 6 | 6. To be able to analyze 2-D and 3-Dimensional thermal design problems using ANSYS commercial program | 7 | 7. To be able to present the design work done using ANSYS in a clear and understandable way, both in writing and orally. | 8 | To understand the importance of using the Finite Element Method in the design and analysis of engineering systems |
| Mode of Delivery | Daytime Class | Prerequisites and co-requisities | n/a | Recommended Optional Programme Components | n/a | Course Contents | Stress, strain and repetition of the generalized Hooke's Law; Fundamental equations of the Theory of Elasticity; Introduction to the finite element method and examples of its applications; Introduction to matrix theory; Derivation of finite element equations: Example of one-dimensional spring problems; Introduction of the ANSYS commercial program; ANSYS; analysis steps: Selection of the element type suitable for the problem to be solved, defining the information required for the selected element types including material information and element constants, defining the boundary conditions required for the problem to be solved and the loads to be applied, defining the analysis type, applied boundary conditions and solving the finite element model for loads, examining the results obtained after the solution, listing the desired results in a file or displaying them on the screen; Application examples with ANSYS: Lattice problems: bar elements, two- and three-dimensional truss systems; Beam and frame construction problems: One-dimensional beam, two- and three-dimensional beam and frame structures; Two-dimensional stress analysis problems: Plane stress and plane strain; Three-dimensional stress analysis problems; thermal problems
Visual expression is applied in the form of assignments and projects. | Weekly Detailed Course Contents | |
1 | Stress, Strain and Review of Generalized Hooke's Law; Fundamental Equations of Elasticity Theory; Introduction to Matrix Theory | | | 2 | Introduction to Finite Element Method: Brief history and background of finite element method, nodes and elements, modeling principles, calculation steps and solution logic, sample application areas; process steps for deriving finite element equations; linear spring element example and assembling the spring elements; creation of solution matrix, boundary conditions, solution methods | | | 3 | Introduction of ANSYS commercial program including finite element method: Basic concepts, geometry commands, correction commands, geometric model creation, interaction with other CAD programs; Analysis of 1D spring problem with Ansys: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results | | | 4 | Analysis of 2D lattice problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results | | | 5 | Analysis of 2D lattice problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results | | | 6 | Analysis of 3D lattice problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results | | | 7 | Analysis of 1D and 2D beam problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results, | | | 8 | Midterm Exam | | | 9 | Analysis of 2D frame structures using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results | | | 10 | Analysis of 3D beam and frame structures using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results | | | 11 | Plane stress, plane strain and axisymmetry concepts; Analysis of plane stress, strain and axisymmetric problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (supporting), solving finite element model and evaluating results | | | 12 | Analysis of 3D problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results | | | 13 | Analysis of 3D problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results | | | 14 | Final Exam | | |
| Recommended or Required Reading | Çubuk Sonlu Elemanlar, Prof. Dr. Mehmet H. OMURTAG, Birsen Yayınevi
Saeed Moaveni, Finite Element Analysis: Theory and Applications with ANSYS, 2nd Ed., ISBN: 0-13-111202-3, Prentice Hall, 2003, 840 pp
Sonlu Elemanlar Analizi (Teori ve Ansys ile Uygulamalar), Saeed Moavani, Türkçe çeviri, Prof. Dr. Ali Osman AYHAN, palme yayınları
Sonlu Elemanlar Yöntemine Giriş, Jacob Fish, Ted Belytschko, Nobel Akademik yayıncılık.
Ansys Workbench, Doç Dr. İsmail OVALI, Kodlab yayınları
Robert D. Cook, David S. Malkus, Michael E. Plesha, Robert J. Witt, Concepts and Applications of Finite Element Analysis, 4th Edition, ISBN: 0-471-35605-0, John Wiley, 736 Pages, October 2001
http://web.deu.edu.tr/ansys/
http://www.mece.ualberta.ca/tutorials/ansys/
Prof. Dr. Ramazan KAYACAN Gerinme ve Gerilme Ölçme Ders Notları | Planned Learning Activities and Teaching Methods | | Assessment Methods and Criteria | |
Midterm Examination | 1 | 40 | Project Presentation | 2 | 60 | SUM | 100 | |
Final Examination | 1 | 50 | Project Presentation | 2 | 50 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | n/a |
| Workload Calculation | |
Midterm Examination | 1 | 2 | 2 | Project Presentation | 4 | 35 | 140 | Individual Study for Final Examination | 1 | 2 | 2 | |
Contribution of Learning Outcomes to Programme Outcomes | LO1 | 5 | 5 | 5 | 4 | 5 | 5 | 4 | 3 | 3 | 4 | 3 | LO2 | 5 | 5 | 5 | 4 | 5 | 5 | 4 | 3 | 3 | 4 | 3 | LO3 | 5 | 5 | 5 | 4 | 5 | 5 | 4 | 3 | 3 | 4 | 3 | LO4 | 5 | 5 | 5 | 4 | 5 | 5 | 4 | 3 | 3 | 4 | 3 | LO5 | 5 | 5 | 5 | 4 | 5 | 5 | 4 | 3 | 3 | 4 | 3 | LO6 | 5 | 5 | 5 | 4 | 5 | 5 | 4 | 3 | 3 | 4 | 3 | LO7 | 5 | 5 | 5 | 4 | 5 | 5 | 4 | 3 | 3 | 4 | 3 | LO8 | 5 | 5 | 5 | 4 | 5 | 5 | 4 | 3 | 3 | 4 | 3 |
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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