課程大綱

課程資訊

課程名稱

大地工程之數值分析法
Numerical Methods in Geotechnical Engineering

開課學期

100-2

授課對象

工學院大地工程組

授課教師

葛宇甯

課號

CIE5004

課程識別碼

521 U0070

班次

學分

全/半年

半年

必/選修

選修

上課時間

星期二2,3,4(9:10~12:10)

上課地點

土224

備註

總人數上限：40人

Ceiba 課程網頁

http://ceiba.ntu.edu.tw/1002_CIE5004

課程簡介影片

核心能力關聯

核心能力與課程規劃關聯圖

課程大綱

為確保您我的權利,請尊重智慧財產權及不得非法影印

課程概述

1. Fundamental concept of numerical analysis
Extract a root
Numerical integration
Numerical differentiation
Numerical interpolation
Fast Fourier Transform
2. Solve O.D.E. problem-initial value problem using numerical analysis
3. Solve O.D.E. problem-boundary value problem using numerical analysis
4. Solve P.D.E. problem using numerical analysis
5. Application of Finite Element Method in geotechnical engineering
6. Usages of software ABAQUS

課程目標

1. To introduce the students regarding the application of numerical methods toward geotechnical engineering.
2. The ability of students in resolving geotechnical problems can be improved
3. To make the students understand the limitation, characteristic and applicability on numerical analysis.

課程要求

預期每週課後學習時數

Office Hours

指定閱讀

參考書目

Numerical method
Gerald, C.F. and PO. Wheatley (1994): Applied Numerical Analysis, 5th Ed., Addison-Wesley. 台北圖書代理
Burden, R.L. and J.D. Faires (1993): Numerical Analysis, 5th Ed., PWS, Boston.
Maron, M.J. and R.J. Lopez (1990): Numerical Analysis: A Practical Approach, 3rd Ed., Wadsworth, Belmont, CA.
Chapra, S.C. and R.P. Canale (1988): Numerical Methods for Engineers, 2nd Ed., MaGraw-Hill.
Conte, S.D., and C. B. (1980): Elementary Numerical Analysis - An Algorithmic Approach, 3rd, McGraw-Hill.

Finite element method
Segerlind, L.J. (1984): Applied Finite Element Analysis 2nd Ed., John Wiley & Sons, New York.
Cook, R.D., D.S. Malkus, M.E. Plesha (1989): Concepts and Application of Finite Element Analysis, 3rd Ed., John Wiley & Sons, New York.
Cook, R.D. (1994): Finite Element Modeling for Stress Analysis, John Wiley & Sons, New York.

Geoengineering
Wang, H.F. & M.P. Anderson (1982): Introduction to Groundwater Modeling, Finite Difference and Finite Element Methods.
Desai, C.S. & J.T. Christian (1977): Numerical Methods in Geotechnical Engineering.

Others
ABAQUS manual

評量方式
(僅供參考)

No.	項目	百分比	說明
1.	Assignments	50%	5 assignments (10% each)
2.	Final Report	40%	including presentations
3.	Others	10%	course participation

課程進度

週次	日期	單元主題
第1週	2/21	Introductions Fundamental concept of finite element method Introduction to ABAQUS Ⅰ (introduction, demos, visualization)
第2週	2/28	No class
第3週	3/06	Finite Element Method basics Introduction to ABAQUS Ⅱ (file types, input file) Case：cantilever beam (using input file) (Assignment I)
第4週	3/13	Finite Element Method basics Case：slope stability (using input file) Introduction to ABAQUS/CAE
第5週	3/20	Contact capabilities in ABAQUS Case：interface element & slope stability (Assignment II) Matlab (Introduction and basic command)
第6週	3/27	How to extract a root? Introduction to ABAQUS/CAE Case：cantilever beam (using ABAQUS/CAE)
第7週	4/03	No class
第8週	4/10	Numerical integration, differentiation, interpolation ODE-Initial Value Problem Case：pore pressure & effective stress (Assignment III)
第9週	4/17	ODE-Boundary Value Problem Matlab (Algebraic operation and Plot command)
第10週	4/24	PDE Case：elastic-plastic analysis (Assignment IV)
第11週	5/01	Constitutive models Case：dynamic analysis
第12週	5/08	FFT (Fast Fourier Transforms) Case：Modified Cam Clay model (Assignment V) Matlab (Matrix operation & differentiation equation)
第13週	5/15	FFT (Fast Fourier Transforms) Matlab (differentiation equation, Laplace transform)
第14週	5/22	Term project outline presentations (10+5 min / group)
第15週	5/29	Office hour (ABAQUS)
第16週	6/05	Office hour (ABAQUS)
第17週	6/12	Office hour (ABAQUS)
第18週	6/19	Term project presentations (15+5 min / group)