### 2019　Computational Mechanics

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Undergraduate major in Systems and Control Engineering
Instructor(s)
Amaya Kenji  Miyazaki Yusuke
Course component(s)
Lecture
Day/Period(Room No.)
Tue7-8(W834)  Fri7-8(W834)
Group
-
Course number
SCE.M304
Credits
2
2019
Offered quarter
4Q
Syllabus updated
2019/3/18
Lecture notes updated
-
Language used
Japanese
Access Index

### Course description and aims

"This course focuses on the computational mechanics used in the analysis of engineering designing.
Topics include finite element methods of potential problems, finite element methods of mechanics of materials and finite differential methods of fluid dynamics.By combining lectures and exercises, the course enables students to understand and acquire the fundamentals of Computational mechanics.

### Student learning outcomes

By the end of this course, students will be able to:
1) Understand the theory of finite element methods for potential problems.
2) Understand the theory of finite element methods for mechanics of materials.
3) Understand the theory of finite differential methods for fluid dynamics.
4) Acquire the knowledge to perform the practical numerical simulation with FEM and FDM.

### Keywords

finite element methods, finite differential methods, potential problems, boundary problems, mechanics for materials, fluid dynamics.

### Competencies that will be developed

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

### Class flow

Students will get the experience of performing the comptational mechanics using package software.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Basics of numerical simulation Undersitanding of Basics of numerical simulation
Class 2 Formulation of mathematical model Understanding of Formulation of mathematical model
Class 3 Galerkin method and Ritz method Understanding of Galerkin method and Ritz method
Class 4 1 dimensional FEM for potential boundary problems Understanding of 1 dimensional FEM for potential boundary problems
Class 5 2 dimensional FEM for potential boundary problems Understanding of 2 dimensional FEM for potential boundary problems
Class 6 fundamental equations for Computational Fluid Dynamics Understanding of fundamental equations for Computational Fluid Dynamics
Class 7 basics of FDM Understanding of basics of FDM
Class 8 fluid analysis by stream function and potential function Understanding of fluid analysis by stream function and potential function
Class 9 fluid analysis using pressure and flow rate Understanding of fluid analysis using pressure and flow rate
Class 10 Basic equations of elastic finite element method Understanding of Basic equations of elastic finite element method
Class 11 Various elements Understanding of Various elements
Class 12 Solving large-scale simultaneous equations Understanding of Solving large-scale simultaneous equations
Class 13 How to give of geometric models and boundary conditions Understanding of How to give of geometric models and boundary conditions
Class 14 Practice of elastic finite element method Experience of Practice of elastic finite element method
Class 15 Numerical simulations in real world Understantidn of Numerical simulations in real world

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### Reference books, course materials, etc.

Yugen Yoso Hou Gaisetsu, Fumio Kikuchi, Saiensu-sha

### Assessment criteria and methods

Students' knowledge of Computational fluid dynamics and Finite element method of elastic problem,
and their ability to apply them to problems will be assessed.
report problems 60%, exercise problems 40%.

### Related courses

• MAT.C308 ： Continuum Mechanics

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

Students must have successfully completed Continuum mechanics or have equivalent knowledge.