学部・大学院区分
Undergraduate / Graduate
工・博前
時間割コード
Registration Code
2838506
科目区分【日本語】
Course Category
専門科目
科目区分【英語】
Course Category
Specialized Courses
科目名 【日本語】
Course Title
[G30]計算機援用工学特論
科目名 【英語】
Course Title
[G30]Advanced Lectures on Computer-Aided Engineering
コースナンバリングコード
Course Numbering Code
担当教員 【日本語】
Instructor
松本 敏郎 ○
担当教員 【英語】
Instructor
MATSUMOTO Toshiro ○
単位数
Credits
2
開講期・開講時間帯
Term / Day / Period
秋 月曜日 3時限
Fall Mon 3
授業形態
Course style
講義
Lecture
学科・専攻【日本語】
Department / Program
電気工学専攻,機械システム工学専攻 自動車工学プログラム 
学科・専攻【英語】
Department / Program
Department of Electrical Engineering, Department of Mechanical Systems Engineering Automotive Engineering Graduate Program
必修・選択【日本語】
Required / Selected
選択
必修・選択【英語】
Required / Selected
Elective


授業の目的 【日本語】
Goals of the Course(JPN)
The finite element method (FEM) is widely used in various engineering problems, and the students study the advanced physical modelling of the phenomena, constructing the corresponding mathematical models, advanced computational algorithms of FEM, and how to develop the computer code.
The lecture is based on the handouts and the students are going to cope with the assignments for formulating FEM and example numerical demonstrations.
授業の目的 【英語】
Goals of the Course
The finite element method (FEM) is widely used in various engineering problems, and the students study the advanced physical modelling of the phenomena, constructing the corresponding mathematical models, advanced computational algorithms of FEM, and how to develop the computer code.
The lecture is based on the handouts and the students are going to cope with the assignments for formulating FEM and example numerical demonstrations.
到達目標 【日本語】
Objectives of the Course(JPN))
By finishing this class, the students are targeted to have the capability of doing the following skills: 
1. Developing the advanced physical model
2. Developing the advanced mathematical model corresponding to the above derived physical model
3. Formulation of the multi-dimensional finite element method
4. Developing and using a finite element code
到達目標 【英語】
Objectives of the Course
By finishing this class, the students are targeted to have the capability of doing the following skills: 
1. Developing the advanced physical model
2. Developing the advanced mathematical model corresponding to the above derived physical model
3. Formulation of the multi-dimensional finite element method
4. Developing and using a finite element code
バックグラウンドとなる科目【日本語】
Prerequisite Subjects
Mathematics I, II (Calculus, Linear Algebra), Vector Analysis, Elasticity
バックグラウンドとなる科目【英語】
Prerequisite Subjects
Mathematics I, II (Calculus, Linear Algebra), Vector Analysis, Elasticity
授業の内容【日本語】
Course Content
1. Vector, tensor, index notation
2. Formula of integration by parts
3. Cauchy’s formula and stress tensor
4. Balance of force and moment, derivation of equilibrium equation and symmetry of stress tensor
5. Strain tensor
6. Generalized Hooke’s law
7. Navier’s equation
8. Virtual work principle
9. Weighted-residual form and weak form
10. Discretization of weak form and introduction of shape functions
11. Expression of weight-function (virtual displacement) with shape function
12. Derivation of stiffness matrix and equivalent nodal force vector by means of element integration
13. Computation algorithm of finite element method
14. Numerical examples through actual finite element code

Assignments are given regarding the lecture topics.
授業の内容【英語】
Course Content
1. Vector, tensor, index notation
2. Formula of integration by parts
3. Cauchy’s formula and stress tensor
4. Balance of force and moment, derivation of equilibrium equation and symmetry of stress tensor
5. Strain tensor
6. Generalized Hooke’s law
7. Navier’s equation
8. Virtual work principle
9. Weighted-residual form and weak form
10. Discretization of weak form and introduction of shape functions
11. Expression of weight-function (virtual displacement) with shape function
12. Derivation of stiffness matrix and equivalent nodal force vector by means of element integration
13. Computation algorithm of finite element method
14. Numerical examples through actual finite element code

Assignments are given regarding the lecture topics.
成績評価の方法と基準【日本語】
Course Evaluation Method and Criteria
The understanding of the theory and computation algorithm of FEM is evaluated through assignments and achievement test. Students can pass when the basic formulation of the weak-form of finite element method and its corresponding computational algorithm are understood. The grade is evaluated accordingly when they can formulate the finite element method for more complicated problem and can develop a finite element computer code.
成績評価の方法と基準【英語】
Course Evaluation Method and Criteria
The understanding of the theory and computation algorithm of FEM is evaluated through assignments and achievement test. Students can pass when the basic formulation of the weak-form of finite element method and its corresponding computational algorithm are understood. The grade is evaluated accordingly when they can formulate the finite element method for more complicated problem and can develop a finite element computer code.
履修条件・注意事項【日本語】
Course Prerequisites / Notes
- No extra requirements are imposed.
- The classes will be given in face-to-face way.
履修条件・注意事項【英語】
Course Prerequisites / Notes
- No extra requirements are imposed.
- The classes will be given in face-to-face way.
教科書【日本語】
Textbook
Handouts are delivered and other documents are put on Web and downloaded.
教科書【英語】
Textbook
Handouts are delivered and other documents are put on Web and downloaded.
参考書【日本語】
Reference Book
Introduction to Approximate Solution Techniques, Numerical Modeling, and
Finite Element Methods, Marcel Dekker Inc
参考書【英語】
Reference Book
Introduction to Approximate Solution Techniques, Numerical Modeling, and
Finite Element Methods, Marcel Dekker Inc
授業時間外学習の指示【日本語】
Self-directed Learning Outside Course Hours
Try to derive the presented formulas by yourself.
授業時間外学習の指示【英語】
Self-directed Learning Outside Course Hours
Try to derive the presented formulas by yourself.
使用言語【英語】
Language used
使用言語【日本語】
Language used
授業開講形態等【日本語】
Lecture format, etc.
Lectures are given in face-to-face way in the classroom.
授業開講形態等【英語】
Lecture format, etc.
Lectures are given in face-to-face way in the classroom.
遠隔授業(オンデマンド型)で行う場合の追加措置【日本語】
Additional measures for remote class (on-demand class)
遠隔授業(オンデマンド型)で行う場合の追加措置【英語】
Additional measures for remote class (on-demand class)