有限元素法之進階應用

Finite element procedures can solve engineering and physical problems by discretizing a continuous field into a system of algebraic equations. The objective of the course is to teach student the concepts, procedures, coding, and numerical solution of finite elements. Applications of the finite element procedures include analysis of structural mechanics and dynamics, heat and mass transfer. In addition, student will learn matlab coding and solution of finite element models, and possibly the use of commercial software ANSYS .

Calculus and Physics

無備註

Teaching Assistant 教學助教: 黃韋霖, ANSYS Hands-on

Homework (20%) 1st Midterm Exam 第1次期中考 (20%) Project (30%) Final Exam 期末考 (30%)

• Introduction to finite element procedures

  1. Basic Concepts of Finite Element Method; 2. Stiffness Matrices, Spring and Bar Element

  講授：

  3

• Energy Method:

  1. Castiliagno Theorem 2. Minimum Total Potential Energy

  講授：

  3

• Method of Weighted Residual

  Application to 1D elastic element

  講授：

  3

• Interpolation Function

  Application to 1D elastic element

  講授：

  3

• Applications of FEM in Heat Transfer

  1. One-dimensional heat transfer: conduction, convection 2. Two-dimensional heat transfer

  講授：

  9

• Applications of FEM in Fluid Mechanics

  1. Inviscid Flow 2. Shear Flow

  講授：

  6

• Applications to Solid Mechanics

  1. Plane-stress, plane-strain deformation 2. Two-dimensional Solid Element; Constant Strain Triangle Element, Rectangular Element 2. Examples of Problem Solving

  講授：

  9

• Dynamic structural analysis and matrix

  1. SImple Harmonic Oscillator 2. Multiple Degrees of Freedom System 3. Bar element: consistent matrix 4. Mode shapes of truss structure

  講授：

  6

• Nonlinear structural analysis and matrix

  1. Geometrically Nonlinearity in Structure 2. Incremental Solution 3. Newton-Raphson Solution

  講授：

  6

Hutton, David V. Fundamentals of finite element analysis. McGraw-hill, 2017.

地點

EE229

時間

Thursday 10:00 to 12:00

聯絡方式

Ext 55107; Email: mgklau@nctu.edu.tw