### 2018　Finite Element Analysis

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Instructor(s)
Yoshino Masahiko  Okuma Masaaki  Nakano Yutaka
Course component(s)
Lecture / Exercise
Day/Period(Room No.)
Thr5-8(石川台3号館　302,303号室)
Group
-
Course number
MEC.K332
Credits
2
2018
Offered quarter
2Q
Syllabus updated
2018/5/22
Lecture notes updated
-
Language used
Japanese
Access Index ### 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 for 2D elestic finite element method. Lectures in the second half will be about the practical system of finite element method. Students will also learn detail of 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 Fundamental theory of elastic FEM. To understand fundamental theory of elastic FEM.
Class 3 principle of the virtual work. Formulate with the principle of virtual work.
Class 4 Triangle element Understand characteristics of the triangle elements.
Class 5 Stiffness equation To derive the stiffness equation.
Class 6 isoparametric element To understand a isoparametric element.
Class 7 2D finite element method for elastic analysis To understand principle of 2D elastic FEM analysis.
Class 8 axisymmetric model To understand the axisymmetric model.
Class 9 Review of history To understand the history and the concept of the method
Class 10 Part 1 of the formula of Euler beam element for vibration analysis To understand the formula of Euler beam element in detail
Class 11 Part 2 of the formula of Euler beam element for vibration analysis To understand the formula of Euler beam element in detail
Class 12 Part 1 of programing of 2D structural models using Euler elements To understand the fundamental of programing
Class 13 Part 2 of programing of 2D structural models using Euler elements To understand the fundamental of programing
Class 14 Vibration Analysis of 2D structural models To understand the logic and the output of vibration analysis
Class 15 Summary

### Textbook(s)

For those after the 8th lecture: "Structural Dynamics ～Fundamental theories and Practical methods～", written by M. Okuma, Asakura Shoten, 2012. Note the book is written in Japanese.

### 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
• LAS.M102 ： Linear Algebra I / Recitation
• LAS.M106 ： Linear Algebra II

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

It is required to have completed "Linear Algebra I,II (LAS.M102,LAS.M106)","Mechanics of Materials A(MEC.C201)","Engineering Mechanics(MEC.A201)".
It is preferable to have knowledge on Partial Differential Equations, Tensor, Vector Analysis.

### Other

It is required to bring a note PC in which the software Matlab is installed. 