| Course title | |||||
| 有限要素法および演習 [Finite Element Method and Exercises] | |||||
| Course category | technology speciality courses | Requirement | Credit | 3 | |
| Department | Year | 3～4 | Semester | 3rd | |
| Course type | 3rd | Course code | 023571 | ||
| Instructor(s) | |||||
| 山中 晃徳 [YAMANAKA Akinori] | |||||
| Facility affiliation | Faculty of Engineering | Office | Email address | ||
| Course description |
|
Finite element method has been widely used to analyze deformation of materials (mechanical equilibrium equation), thermal diffusion (heat diffusion equation) and fluid flow (Navier-Stokes equation). Nowadays, various finite element simulation software are available and used to develop new industrial products. Therefore, engineers need to know fundamental theories and principals of finite element method. 【Google Classroom】 rigqhdt |
| Expected Learning |
|
This lecture gives to students the necessary fundamental theories and principals of finite element method. Furthermore, this lecture provides some opportunities to perform fundamental programming exercise and finite element simulation. ＊Corresponding criteria in the Diploma Policy: See the Curriculum maps. |
| Course schedule |
|
1. Introduction and python programming 2. Finite difference method for solving poisson equation 3. Finite element method for solving poisson equation 4-5. Method of weighted residual and Galerkin methods for solving stress equilibrium equation 6. One-dimensional finite element method for solving stress equilibrium equation 7. Two-dimensional finite element method for solving stress equilibrium equation 8. Two-dimensional finite element analysis of stress concentration problems 9. Two-dimensional finite difference analysis of thermal conduction equation 10. Two-dimensional finite element analysis of thermo-elastic problems 11. Finite difference analysis of Navier-Stokes equation 12. Finite element analysis of Navier-Stokes equation (Poiseuille flow) 13. Finite element analysis of Navier-Stokes equation (Cavity flow) 14. Finite element analysis of flow around NACA-type airfoil 15. Finite element simulation of topology optimization |
| Prerequisites |
|
Mechanics of Materials I, Mechanics of Materials II, Theory of elasticity, Fluid dynamics I, Fluid dynamics II, Computer programming I (Python) *Preparation and review (45 hours/lecture) |
| Required Text(s) and Materials |
| Power point files and PDF files are provided via Google Classroom in the lecture. |
| References |
| Additional references are provided via Google Classroom. |
| Assessment/Grading |
|
Exercise problems and Reports (40%) , and Mid-term and term-end exams (50%) |
| Message from instructor(s) |
| Course keywords |
| Finite element method, Numerical simulation |
| Office hours |
| Anytime (appointment is required) |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| English |
| Last update |
| 9/21/2022 9:57:37 AM |