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2025 (Current Year) Faculty Courses School of Engineering Undergraduate major in Mechanical Engineering

Finite Element Analysis

Academic unit or major
Undergraduate major in Mechanical Engineering
Instructor(s)
Wakako Araki
Class Format
Lecture/Exercise (Face-to-face)
Media-enhanced courses
-
Day of week/Period
(Classrooms)
3-4 Wed
Class
-
Course Code
MEC.K332
Number of credits
0.50.50
Course offered
2025
Offered quarter
2Q
Syllabus updated
Mar 19, 2025
Language
Japanese

Syllabus

Course overview and goals

[Description]
This course provides lectures on a fundamental theory of finite element method and practical exercises of finite element analysis using computers.
[Aims]
This course aims to provide you with a fundamental understanding of finite element method and simulation technique.

Course description and aims

Upon successful completion of the course you will be able to understand basic theories and practical simulation techniques of finite-element method required for solving 2D elastic problems, by understanding modelling method, boundary conditions, precision of analysis, and evaluation method.

Keywords

Elasticity; 2D Element; Stiffness equation; Numerical simulation.

Competencies

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

Class flow

A lecture and simulation exercise are provided in the class. Reports will be assigned.

Course schedule/Objectives

Course schedule Objectives
Class 1 Introduction of finite element method; FEM software for exercise To understand the basic idea of FEM.
Class 2 1D problem; Truss To understand numerical solution of 1D problem.
Class 3 2D problem (Fundamentals of elasticity); Tension/compression of bars To understand fundamentals of elasticity.
Class 4 2D problem (Stiffness equation); Bending of beams To understand numerical solution of 2D problem.
Class 5 Numerical simulation (Fundamentals); Stress concentration To understand fundamental techniques of FEM simulation.
Class 6 Numerical simulation (Advanced); Modal analysis To understand advanced topics of FEM simulation.
Class 7 Numerical simulation (Applications); Final exercise To set an appropriate problem and solve it by FEM.

Study advice (preparation and review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class. They should do so by referring to course materials.

Textbook(s)

Materials will be provided in the class.

Reference books, course materials, etc.

Materials will be provided in the class.

Evaluation methods and criteria

To be evaluated based on reports (60%) and final exercise (40%).

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

Linear Algebra I&II, Mechanics of Materials A, Engineering Mechanics, Partial Differential Equations, Vector Analysis.
Basic knowledge of continuum mechanics as well as vector and tensor analysis are required.

Other

A laptop (Windows, 64 bit) is required in the class.