課程資訊

Fundamental Finite Element Method

103-1

ESOE5028

525 U1640

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1031ESOE5028_FEM

1 Chap 0. Fundamental concepts of FEM - an introduction
2 Chap 1: Boundary Value Problems
Potential energy, Ray-Ritz Method, Galerkin’s Method
3 Chap 2. One-dimensional Bar structures
Derive the finite element equation:
linear shape function, linear element
Quadratic shape function, quadratic element
Temperature effects
4 Chap 3: Trusses
Plane trusses
3D-trusses
Solution of linear simultaneous equation
Positive definite matrix, Gaussian Elimination method, Conjugate gradient methods
5 Chap 4:Two-Dimensional Problem Using Constant Strain Triangles
Finite element modeling
Derivation of constant-strain-triangle element
Boundary condition
Orthotropic material, Temperature effects

6 Chap5: 2D Iso-parametric Elements and Numerical Integration
Note on Stress of 2D element
7 Chap 6: Scale Field Problems
Steady state heat transfer
Potential flow, Acoustics
8 Chap 7: Beams and Frames
9 Chap 8: Dynamic considerations

Office Hours

1. 講義
2. Chandrupatla T. R. and Belegundu, A.D., Introduction to Finite Elements
in Engineering,3rd Ed., Prentice-Hall, 2002
3.Reddy, J. N., An Introduction to Finite Element Method, 2nd Edition,McGraw-
Hill,1993

(僅供參考)

 No. 項目 百分比 說明 1. 作業： : 預計5次作業 50% 每次10分 2. 期中期末考試與討論 50% 期中期末各佔25％

 課程進度
 週次 日期 單元主題 第1週 09/18 Chap 0. Fundamental concepts of FEM - an introduction 第2週 09/25 Chap 1: Boundary Value Problems Potential energy, Ray-Ritz Method, Galerkin’s Method 第3週 10/02 Chap 1: Boundary Value Problems Potential energy, Ray-Ritz Method, Galerkin’s Method Chap 2. One-dimensional Bar structures 第4週 10/09 Chap 2. One-dimensional Bar structures Derive the finite element equation: linear shape function, linear element Quadratic shape function, quadratic element Temperature effects 第6週 10/23 Chap 3: truss structures 第7週 10/30 Chap 4:Two-Dimensional Problem Using Constant Strain Triangles 第8週 第9週 11/12 Chap5: 2D Iso-parametric Elements and Numerical Integration Note on Stress of 2D element 第10週 11/12 期中考 （11/20) 第11週 11/20 2D and isoparametric elements 第12週 /12/04 beam and frame 第13週 12/11 7. Scalar Problems 第15週 12/24 8. dynamic consideration 第17週 01/07 8. Dynamic consideration