Advanced Mathematical Methods for Civil Engineering Applications Wonsiri Punurai, PhD

Transcription

1 Advanced Mathematical Methods for Civil Engineering Applications Wonsiri Punurai, PhD Department of Civil Engineering Room 6391, EG Building 3 Faculty of Engineering, Mahidol University Personal Web:

2 Course Information Introduction to computer applications in civil engineering. Emphasis on analysis, mathematical problem-solving skills with computer tools and hand techniques.

3 Course Goals At the end of this course, students will be able to Use, create, and modify scripts in MATLAB (and probably spreadsheets in MS EXCEL) to solve quantitative simple problems in future classes. Prepare oral + written presentations in class

4 Conduct of Course Homework/Projects/Quizzes 30 % Midterm Exam 30 % Final Exam 40 %

5 Warnings!! Participation expected, check by quizzes Study in groups but submit work on your own No Copying of Matlab code Submit Homework at the beginning of class Late homework with penalty No make up quizzes or exams

6 Computers as engineering tools Productivity One engineer can do the work for many. Precision If use properly computers offer solutions to many engineering problems Better communication Visualization

7 Lecture I- Introduction to MATLAB

8 What is MATLAB? Reference:

9 MATLAB 101 Getting Started ( เร มแรกเข าโปรแกรม ) Basic Arithmetic ( ค าส งท ใช ในการค านวณทางคณ ตศาสตร ) Built-in Functions ( ค าส งทางคณ ตศาสตร ท มาก บโปรแกรม ) Built-in Variables ( ล กษณะของต วแปรท มาก บโปรแกรม )

10 Getting Started MATLAB101--Getting Started

11 Launch Pad Command Window Command History MATLAB101--Getting Started

12 MATLAB101--Getting Started

13 MATLAB101--Getting Started

14 MATLAB101--Getting Started

15 MATLAB101--Getting Started

16 MATLAB101--Getting Started

17 Basic Arithmetic Calculator functions work as you d expect: + and - are addition, /is division, *is multiplication, ^is an exponent. MATLAB101--Basic Basic Arithmetic

18 Basic Arithmetic (cont.) MATLAB101--Basic Basic Arithmetic

19 MATLAB101--Basic Basic Arithmetic

20 MATLAB101--Basic Basic Arithmetic

21 MATLAB101--Basic Basic Arithmetic

22 MATLAB 102 Array/Matrix ( เมตร กซ ) How to save & load data ( การเร ยกใช และบ นท กข อม ล ) Low level input & output Graphics

23 Array/Matrix A matrix is a rectangular array of numbers. Scalars = 1x1 matrices Vectors = row x column matrices Let s s try create a matrix A here!! MATLAB102--Array Array

24 Steps to create a matrix Separate the elements of a row with blanks or commas. Use a semicolon, ;, to indicate the end of each row. Surround the entire list of elements with square brackets, []. To check array dimension (no. of rows and columns) use a command whos MATLAB102--Array Array

25 MATLAB102--Array Array

26 MATLAB102--Array Array

27 MATLAB102--Array Array

28 MATLAB102--Array Array

29 MATLAB102--Array Array

30 Quiz I ; Compute Y = Ab Solution MATLAB102--Array Array

31 Save & Load Data MATLAB102--Save/Load Data

32 Input/Output Functions MATLAB102--In/Output

33 MATLAB102--In/Output

34 Graphics First, making a window for graphics output by typing Simply type plot in command window. The plot function has different forms, depending on input arguments.

35 Graphics (cont.)

36 Graphics create multiple data sets in one graph MATLAB has ability to create multiple graphs.

37 Graphics specify line styles and colors Let s s try this!!

38 Graphics multiple plots in one figure

39 Graphics plotting examples semilog plot stair plot barplot loglog plot

40 Quiz II Given y =sin (x 1.8 ) where 0<x<0.5 and x increments every 0.05, try plotting graph between x and y values now!!