Matlab for Engineers About Matlab Chapter 1. Matlab for Engineers What’s in this Chapter? What is...

Matlab for Engineers

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About Matlab

Chapter 1

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What’s in this Chapter?

• What is Matlab?

• Student Edition of Matlab

• How is Matlab used in industry?

• Problem Solving in Engineering and Science

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Section 1.1 What is Matlab?

• Matlab is one of a number of commercially available, sophisticated mathematical computation tools

• Others include• Maple• Mathematica• MathCad

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Matlab excels at

• Numerical calculations• Especially involving matrices

• Graphics

• Matlab stands for Matrix Laboratory

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Why Matlab

• Easy to use

• Versatile

• Built in programming language

• Not a general purpose language like C++ or Java

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Matlab was originally written in Fortran, then later

rewritten in C

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Matlab 7

• Matlab is updated regularly

• Versions that predate Matlab 5.5 are substantially different

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Release Numbers

• The Mathworks packages their software in groups, called releases

• Release 14 includes• Matlab 7• Simulink 6.1• A number of specialized “toolboxes”

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New Release Naming System

• During Spring 2006 Matlab changed to a new system for naming their releases

• They will be issuing updates twice a year

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Section 1.2Student Edition of Matlab

• Matlab comes in both a student and professional edition

• Student editions are available for• Windows Operating Systems• Mac OS• Linux

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The student edition of release 14 includes

• Full featured Matlab 7

• Simulink 6.1 – limited to 1000 blocks

• Major portions of the Symbolic toolbox

• Other toolboxes may be purchased separately

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The command prompt is the biggest difference you’ll

notice

>> is the command prompt for the professional version

EDU>> is the command prompt for the student version

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Section 1.3How is Matlab used in

Industry?

• Widespread, especially in the signal processing field

• Tool of choice in Academia for most engineering fields

• Some examples….

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Electrical Engineering

These images simulate the visual system used in a housefly brain to detect collisions. The techniques developed are being used in autonomous robot systems that depend upon vision for navigation. The data was processed using Matlab

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Biomedical Engineering

These images were created from MRI scan data using Matlab. The actual data set is included with the standard Matlab installation, allowing you experiment with manipulating the data yourself.

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Fluid Dynamics

Results from a finite element analysis code were post processed using Matlab to create this image.

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Section 1.4Problem Solving in

Engineering and Science

1. State the Problem

2. Describe the input and output

3. Develop an algorithm

4. Solve the problem

5. Test the solution

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State the Problem

• If you don’t have a clear understanding of the problem, it’s unlikely that you’ll be able to solve it

• Drawing a picture often helps you understand the system better

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Describe the Input and Output

• Be careful to include units

• Identify constants

• Label your sketch

• Group information into tables

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Develop an Algorithm

• Identify any equations relating the knowns and unknowns

• Work through a simplified version of the problem by hand or with a calculator

• Developing a flow chart is often useful for complicated problems

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Solve the problem

• Create a Matlab solution

• Be generous with comments, so that others can follow your work

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Test the Solution

• Compare to the hand solution• Do your answers make sense

physically?• Is your answer really what was

asked for?• Graphs are often useful ways to

check your calculations for reasonableness

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If you use a consistent problem solving strategy you increase the chance that your result is correct

Here’s an example….

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Example 1.1

• Albert Einstein• E=mc2

• The sun is fueled by the conversion of matter to energy

• How much matter does the sun consume every day?

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State the Problem

• Find the amount of matter necessary to produce the amount of energy radiated by the sun everyday

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Describe the Input and Output

• Input• Rate of energy radiation

• E = 385*1024 Joules/second

• Speed of light• c = 3.0*108 meters/second

• Output• Mass in kilograms

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Develop an Algorithm – Hand Example

• The energy radiated in one day is:

• Rearrange E=mc2 and solve for m• m=E/c2

Jdayday

J 3124 1033.31*24sec

3600sec

sec/100.3

1033.3

sec/107.3

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But the units are wrong!!

1 J = 1 kg m2/sec2

mkg 1422

2214 107.3

sec/ 107.3

3.7 10/ sec

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Develop a Matlab Solution to Solve the Problem

• We’ll start learning the details of how to use Matlab in the next chapter.

• However, you can see from the following demonstration just how easy it is to use the command window

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To restart the demonstration click in the Matlab window

Use the down arrow on the keyboard to proceeed to the next slide

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Test your Solution

• Matches the hand solution

• Is it reasonable?

• Consider…• Mass of the sun = 2*1020 kg• How long would it take to consume

all that mass?

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r time = (mass of the sun)/(rate of consumption)

yearsdays

kgtime 13

105.1365

*/107.3

That’s 15 trillion years!!Yes – this is a reasonable result

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Summary

• Matlab is widely used

• Matlab is easy to use

• A systematic problem solving strategy makes it more likely you’ve found the right answer

Matlab for Engineers About Matlab Chapter 1. Matlab for Engineers What’s in this Chapter? What is...

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