有限元素法

Finite Element Method

學期

113-1

學分

3 學分

當期課號

536111

永久課號

ENME30022

開課單位

機械工程學系

授課教師

劉義強

校區

光復

類別

選修

上課時間表

節	週一
5 13:20–14:10	有限元素法 EE206 3 節連堂
6 14:20–15:10
7 15:30–16:20

* 根據陽明交大上課時間表所列

概述

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 .

先修科目

Calculus and Physics

教學方式

Teaching Assistant 教學助教, ANSYS Hands-on, Matlab Hands on

評分方式

Homework (20%), Ansys Handson (15%), Project (15%) 1st Midterm Exam 第1次期中考 (25%) Final Exam 期末考 (25%)

課程大綱

Introduction to finite element procedures
Development of Truss Equation
Development of Beam Equation
Development of Plane Stress/Strain Stiffness Equation
Practice in Ansys Modeling
Thermal Stress
Isoparametric Formulation
Plate Bending Element
Dynamic
Three Dimensional Stress Analysis

週次計畫

週次	主題
第 1 週	Introduction to finite element procedures, Analysis of Truss Structure
第 2 週	Development of Truss Equation: Energy method, Weighted residual method,
第 3 週	Space Truss and Thermal Stress
第 4 週	Ansys and Matlab Hands-on Session: Development of Truss Equation
第 5 週	Development of Beam Equation (i)
第 6 週	Development of Beam Equation (ii)
第 7 週	Frame Structures
第 8 週	Ansys and Matlab Hands-on Session: Beam Element
第 9 週	Development of Plane Stress/Strain Stiffness Equation
第 10 週	2D triangular &#x0B membrane finite elements
第 11 週	Interpolation Function, Change of Variables and Jacobian
第 12 週	Plane Rectangular Element
第 13 週	Ansys and Matlab Hands-on Session: Membrane Finite Element
第 14 週	Applications to Thermoelastic deformation of Solid
第 15 週	Three Dimensional Stress Analysis
第 16 週	Ansys and Matlab Hands-on Session: 3D Solid Finite Element

教科書

Daryl L Logan, A First Course in the Finite Element Method, SI Edition, Cengage

Office Hours

地點: 工程五館206教室(EE206)
時間: Monday 13:20 to 16:20
聯絡方式: Ext 55107; Email: mgklau@nycu.edu.tw