単位数: 2. 担当教員: 青栁 吉輝. 開講年度: 2024. 科目ナンバリング: TMA-MEE351E.
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Google Classroomのクラスコードは工学部Webページにて確認すること。
学部シラバス・時間割(https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html)
1. Class subject
This course aims to obtain knowledge and understanding of fundamental of finite element (FE) method computing displacement, strain, and stress.
2. Object and abstract of class
In this lecture, the formulation of the FE method and FE analysis for two-dimensional elasticity problems are described, which is a foundation of computational solid mechanics.
3. Goal of study
To obtain knowledge and understanding of the formulation of the FE method based on constant strain element.
<Important>
This lecture will be given using Google Classroom. The class code is "xyvrgpr".
The class code for Google Classroom can be found on the Web site of
the School of Engineering:
https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html (JP Only)
1. Class subject
This course aims to obtain knowledge and understanding of fundamental of finite element (FE) method computing displacement, strain, and stress.
2. Object and abstract of class
In this lecture, the formulation of the FE method and FE analysis for two-dimensional elasticity problems are described, which is a foundation of computational solid mechanics.
3. Goal of study
To obtain knowledge and understanding of the formulation of the FE method based on constant strain element.
<Important>
This lecture will be given using Google Classroom. The class code is "xyvrgpr".
The relevant subjects (Mechanics of Materials I, Mechanics of Materials II, and Theory of Elasticity) are should be taken.
The relevant subjects (Mechanics of Materials I, Mechanics of Materials II, and Theory of Elasticity) are should be taken.
1. Vector and tensor analyses
2. Outline of solid mechanics using FE method
3. Strain and stress
4. Elasticity problem (I)
5. Elasticity problem (II)
6. Principle of virtual work
7. FE method for elasticity problems
8. Constant strain element
9. Element stiffness equations
10. Total stiffness equations
11. Total stiffness matrix
12. Isoparametric element
13. Example of FE analysis (I)
14. Example of FE analysis (II)
15. Summary of this lecture
1. Vector and tensor analyses
2. Outline of solid mechanics using FE method
3. Strain and stress
4. Elasticity problem (I)
5. Elasticity problem (II)
6. Principle of virtual work
7. FE method for elasticity problems
8. Constant strain element
9. Element stiffness equations
10. Total stiffness equations
11. Total stiffness matrix
12. Isoparametric element
13. Example of FE analysis (I)
14. Example of FE analysis (II)
15. Summary of this lecture
Preparation: Students should read materials uploaded on ISTU before the lecture.
Review: Students should review fundamental matters lectured in the class.
Preparation: Students should read materials uploaded on ISTU before the lecture.
Review: Students should review fundamental matters lectured in the class.
The evaluation will be based on attendance, assignment, and examination.
The evaluation will be based on attendance, assignment, and examination.
Whenever
Whenever