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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 | İNM-23-139 | FInIte elements and stress analysIs In engIneerIng | Elective | 1 | 1 | 6 |
| Level of Course Unit | Second 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 | 1. To teach the basics of teaching theory and existing in the background of finite teaching
2. To teach the benefits and trainings of finite system rules
3. To be able to choose the element type in accordance with the commercially available element types and analysis method of ANYS
4. To be able to create finite elements to be designed to reflect the models, loads and supports to be shown in the design to be analyzed
5. Analyze 2-D design and 3-D design problems using ANSYS commercial program
6. Analysis front of 2-Dimensional and 3-Dimensional thermal design problems using ANSYS commercial program
7. ANSYS designed to be both written and dictionary and somehow the sun
8. Considerations for the objectives of the Finite Method in engineering design design and analysis |
| Mode of Delivery | Daytime Class | Prerequisites and co-requisities | | Recommended Optional Programme Components | | 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 Generalization of Hooke Law: Basic Equations of Elasticity Theory; Introduction to Matrix Theory | Stress, Strain and Generalization of Hooke Law: Basic Equations of Elasticity Theory; Introduction to Matrix Theory | | 2 | Introduction to Finite Element Method: Short history and foundation of finite element method, nodes and elements, modeling principles, calculation steps and solution logic, sample application areas; process steps for the extraction of finite element equations; the example of the linear spring element and the spring elements; creation of solution matrix, boundary conditions, solution methods | Modeling principles, calculation steps and solution logic, sample application areas; process steps for the extraction of finite element equations; the example of the linear spring element and the spring elements; creation of solution matrix, boundary conditions, solution methods | | 3 | Presentation of the commercial program ANSYS with finite element method: Basic concepts, geometry commands, fix commands, creating a geometric model, interaction with other CAD programs; Analysis of the 1B spring problem with Ansys: geometric model creation, material definition, element type selection, create a finite element model (mesh), entering loads and boundary conditions (abutment), solving the finite element model and evaluating the results | Geometric model creation, material definition, element type selection, create a finite element model (mesh), entering loads and boundary conditions (abutment), solving the finite element model and evaluating the results | | 4 | Analysis of 2D cage problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | Analysis of 2D cage problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | | 5 | Analysis of 3D cage problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | Analysis of 3D cage problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | | 6 | Analysis of 1B and 2B beam problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | Analysis of 1B and 2B beam problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | Analysis of 1B and 2B beam problems using ANSYS: | 7 | Analysis of 2D framework structures using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | Analysis of 2D framework structures using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | Analysis of 2D framework structures using ANSYS | 8 | Analysis of 2D framework structures using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results, Creation of global resistance matrix and load vector, The Finite Element Equations; Treatment of Boundary Conditions | Analysis of 2D framework structures using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results, Creation of global resistance matrix and load vector, The Finite Element Equations; Treatment of Boundary Conditions | Analysis of 2D framework structures using ANSYS | 9 | Mid Term Exam | Mid Term Exam | | 10 | Analysis of 3D framework structures using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | Analysis of 3D framework structures using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | | 11 | Plane stress, plane stress and axi-symmetry concepts; plane tension, analysis of strain and axisimetric problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | Geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | | 12 | Analysis of 3D problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | Analysis of 3D problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | | 13 | Analysis of 3D problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | Analysis of 3D problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | | 14 | Analysis of 2D and 3D thermal problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | Analysis of 2D and 3D thermal problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results | |
| 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/ | Planned Learning Activities and Teaching Methods | | Assessment Methods and Criteria | |
Midterm Examination | 1 | 40 | Project Presentation | 1 | 60 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 70 | End Of Term (or Year) Learning Activities | 30 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | |
| Workload Calculation | |
Midterm Examination | 1 | 40 | 40 | Final Examination | 1 | 50 | 50 | Project Preparation | 2 | 50 | 100 | |
Contribution of Learning Outcomes to Programme Outcomes | | * 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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