課程資訊

Finite Element Method

106-1

ME7112

522 M2570

3.0

http://homepage.ntu.edu.tw/~jiayang/me7112/2017f/syllabus.htm

Introduction to the Finite Element Method

Textbook:
J.N. Reddy, An Introduction to the Finite Element Method, 2nd ed., McGraw-Hill, 1993

Course Contents:
1. Introduction (Class Notes)
1.1 Continuous and Discrete Systems
1.2 Procedure of the Finite Element Method

2. The Mathematical Approaches (Chapter 2)
2.1 The Weighted-Integral Form
2.2 The Variational Methods
2.3 Weak Formulation
2.4 The Rayleigh-Ritz Method
2.5 The Method of Weighted Residuals

3. One-Dimensional Finite Element Analysis (Linear, Statics) (Chapter 3 )
3.1 1-D 2nd-order Boundary-Value Problems
3.2 Interpolation Functions
3.3 Formulation of Element Equations
3.4 Assembly of Global Equations
3.6 Applications
3.6.1 Heat Transfer
3.6.2 Solid Mechanics

4. Bending of Beams (Chapter 4)
4.1 Introduction
4.2 The Euler-Bernoulli Beam Element
4.3 The Timoshenko Beam Element

5. Two-Dimensional Finite Element Analysis (Single-Variable, Statics) (Chapter 8 )
5.1 Finite Element Discretization
5.2 2-D 2nd-order Boundary-Value Problems
5.3 Interpolation Functions
5.4 Formulation of Element Equations
5.5 Assembly of Global Equations
5.6 Numerical Integration
5.7 Applications

6. Numerical Integration (Chapters 7 & 9)
6.1 Natural Coordinates
6.2 Isoparametric Elements
6.3 Jacobian of the Coordinate Transformation
6.4 Numerical Integration Methods
6.5 Zero-Energy

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