Analysis of Structures, Adv.
| Numbering Code | G-ENG04 5B040 LJ74 | Year/Term | 2022 ・ Second semester |
|---|---|---|---|
| Number of Credits | 2 | Course Type | Lecture |
| Target Year | Target Student | ||
| Language | Japanese | Day/Period | Wed.3 |
| Instructor name |
OOSAKI MAKOTO (Graduate School of Engineering Professor) (Graduate School of Engineering Associate Professor) |
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| Outline and Purpose of the Course | Fundamentals of finite element method (FEM) are presented for based on variational and energy principles. Formulations are derived for 2D and 1D finite elements. Basic theories and algorithms for nonlinear FEM are also presented. | ||
| Course Goals | Understanding of fundamentals of FEM | ||
| Schedule and Contents |
1-2. Fundamentals of FEM: Fundamental theories and concepts are presented. As a concrete example, formulations for 2D triangle element are derived. 3-4. Isoparametric and structural elements: Isoparametric and structural elements are presented. 5-6. Displacement method and stress method: Displacement method and stress method are presented, wherein displacement and stress are respectively selected as unknown variables. Based on Lagrange's multiplier method, hybrid displacement and stress methods are also presented. 7-9. Fundamentals of nonlinear FEM: Fundamentals of nonlinear FEM are presented. Based on Newton's method, basic theories and algorithms are presented for solving quasi-static and dynamic problems. 10-11. Elastoplastic and buckling analysis: Basic theories and algorithms for elastoplastic analysis and buckling analysis are presented. 12-14. Nonlinear beam elements: Nonlinear beam elements are formulated. Both geometric and material nonlinearities are discussed. 15. Final examination/ Learning achievement evaluation |
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| Evaluation Methods and Policy | Final examination | ||
| Course Requirements | Applied solid mechanics | ||
| Study outside of Class (preparation and review) | Explained in the class | ||
| Related URL | |||
