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 34  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