### 2016　Finite Element Analysis

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Instructor(s)
Yoshino Masahiko  Nakamura Haruo
Course component(s)
Lecture / Exercise
Day/Period(Room No.)
Thr5-8(石川台3号館　302,303,310号室)
Group
-
Course number
MEC.K332
Credits
2
2016
Offered quarter
2Q
Syllabus updated
2017/1/11
Lecture notes updated
-
Language used
Japanese
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### Course description and aims

[Description]
This course consists of lectures on the fundamental theory of the finite element method and exercises in finite element analysis using computers.
[Aims]
The aim of this course is for students to acquire the ability to make practical use of the finite element method.

### Student learning outcomes

Students learn basic theory and practical analysis techniques of 2D elasticity finite-element method. They understand analysis precision, how to construct FEM models, and evaluation methods of the analysis result.

### Keywords

Elasticity, potential field, two dimensions, triangle element, isoparametric element

### Competencies that will be developed

 Intercultural skills Communication skills ✔ Specialist skills Critical thinking skills Practical and/or problem-solving skills

### Class flow

Lectures in the first half of this course will be about the principles of the finite element method of potential fields. Lectures in the second half will be about finite element method for elastic bodies. Students will also learn to apply analysis methods through exercises.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Introduction Do you understand the necessity of finite-element method?
Class 2 boundary value problem Do you understand the solution of partial differential equation?
Class 3 approximate means of the 1D Poisson equation Do you understand an approximate solution?
Class 4 Approximation by an interpolation function Do you understand an interpolation function?
Class 5 approximate means of 2D Poisson equation Do you understand two-dimensional Poisson's equation?
Class 6 discretization by triangle elements Do you understand a triangle element?
Class 7 2D finite element method for Poisson equation Can you analyze 2D models by 2D finite-element method?
Class 8 Stress and strain Do you understand a stress and strain?
Class 9 Principle of virtual work Do you understand principle of virtual work?
Class 10 Triangle element Do you understand a triangle element of the two-dimensional deformation?
Class 11 isoparametric element Do you understand isoparametric elements?
Class 12 Stiffness equation Do you understand a stiffness equation?
Class 13 2D finite element method for elastic analysis Do you understand a 2D elastic finite-element method?
Class 14 Finite element method for axisymmetric model Is it possible to analyze axial-symmetry models?
Class 15 Summary Is it possible to use a elasticity finite-element method analysis?

### Textbook(s)

FEM by Excel 、Asakura　Shoten

### Reference books, course materials, etc.

Books specified by the instructor.

### Assessment criteria and methods

To be evaluated based on reports

### Related courses

• MEC.B213 ： Partial Differential Equations
• MEC.C201 ： Mechanics of Materials
• MEC.A201 ： Engineering Mechanics
• MEC.B214 ： Vector Analysis

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

It is preferable to have knowledge on Partial Differential Equations, Mechanics of Materials, Engineering Mechanics, Vector Analysis.