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Engineering Computation using MATLAB

Engineering Computation using MATLAB. Dr Simin Nasseri, Mechanical Engineering Technology Department, Southern Polytechnic State University. Matlab. MATLAB stands for Mat rix Lab oratory Developed primarily by Cleve Moler in the 1970's

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Engineering Computation using MATLAB

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  1. Engineering Computation using MATLAB Dr Simin Nasseri, Mechanical Engineering Technology Department, Southern Polytechnic State University

  2. Matlab • MATLAB stands for Matrix Laboratory • Developed primarily by Cleve Moler in the 1970's • MATLAB was originally written in Fortran, then later rewritten in C. • Derived from FORTRAN subroutines LINPACK and EISPACK, linear and eigenvalue systems. • Rewritten in C in the 1980's with more functionality, which include plotting routines.

  3. Matlab • MATLAB is one of a number of commercially available, sophisticated mathematical computation tools • Others include • Maple • Mathematica (MATLAB's competitor = the symbolic computation program) • MathCad • MATLAB is more convenient for numerical analysis and linear algebra. It is frequently used in engineering community. • Mathematica has superior symbolic manipulation, making it popular among physicists.

  4. Why Matlab?! • MATLAB is a high-performance language for technical computing. • It integrates computation, visualization, and programmingenvironment. • MATLAB is a modern programming language environment: it has sophisticated data structures, contains built-in editing and debugging tools, and supports object-oriented programming. • These factors make MATLAB an excellent tool for teaching and research.

  5. Why Matlab?! • MATLAB is widely used. • MATLAB is easy to use. • MATLAB is interpreted (not compiled), errors are easy to fix. • MATLAB is optimized to be relatively fast when performing matrix operations.

  6. Why Matlab?! • A systematic problem solving strategy makes it more likely you’ve found the right answer. • Built in programming language (Matlab is a package + a language). • Not a general purpose language like C++ or Java. • Matlab Excels at Numerical calculations (Especially involving matrices) and Graphics.

  7. Weaknesses • MATLAB is not a general purpose programming language such as C, C++, or FORTRAN. • MATLAB is designed for scientific computing, and is not well suitable for other applications. • MATLAB commands are specific for MATLAB usage. Most of them do not have a direct equivalent with other programming language commands.

  8. Summary

  9. Matlab 2010 • The MathWorks Inc. was created (1984) to market and continue development of MATLAB. • MATLAB is updated regularly. • The Mathworks packages their software in groups, called releases. • Each one contains: • MATLAB • Simulink • A number of specialized “toolboxes”

  10. New Release Naming System • They will be issuing updates twice a year R2010a R2010b • MATLAB comes in both a student and professional edition. • Student editions are available for: • Windows Operating Systems • Mac OS • Linux

  11. How is MATLAB used in Industry? • Widespread, especially in the signal processing field • Tool of choice in Academia for most engineering fields • Some examples….

  12. 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.

  13. 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.

  14. Statics and Structures The motion of an idealised two span bridge under the action of a moving point force across its surface, when the force velocity is equal to the first critical speed. The animation was created in matlab, using the analytical equations of motion derived in "Vibration of solids and structures under moving loads" Fryba, L, 1999

  15. Dynamics Click and watch

  16. Robotics In this Cartesian Motion we have fixed the TCP (Tool Center Point) in space at pos=(430,0,750).This simulation was made with Matlab R12. Click and watch

  17. Fluid Dynamics Results from a finite element analysis code were post processed using MATLAB to create this image.

  18. 3D Plotting and Volume Visualization A 3-D isosurface plot revealing the geodesic dome structure of a carbon-60 or “fullerene” molecule (molecules composed entirely of carbon).

  19. Widely used in Academia eg. University of Colorado:

  20. Why @ MET?!

  21. Working with Matlab • We’ll start learning the details of how to use MATLAB now: • In Windows or Apple operating systems click on the desktop icon • In Unix type: MATLAB at the shell prompt. MATLAB opens to a default window configuration:

  22. MATLAB uses a standard windows menu bar

  23. MATLAB Windows MATLAB uses several different windows to display data, commands and results. There are 7 windows. Lets see what they are.

  24. 1- Command Window Enter commands at the prompt 4- Current Directory 2- Command History 3- Workspace Window

  25. 1- Command Window Enter commands at the prompt You can use the command window much like you’d use a calculator The standard order of operation rules apply

  26. 1- Command Window 1- Command Window Enter commands at the prompt Similar to a scratch pad Once you hit enter, you can’t edit any commands You can retype them or use the arrow keys to retrieve commands and edit them before hitting enter again

  27. 2- Command History 2- Command History • You can transfer commands from the command history to the command window • Double click on a command • Click and drag

  28. 2- Command History 2- Command History • Records the commands you issue in the command window • When you exit the command window, or when you issue the clc command, the command window is cleared • But the command history remains

  29. 3-Workspace Window 3- Workspace Window Variables that you introduce are written here.

  30. Scalar Vector 2-D Matrix • Keeps track of the variables you’ve defined (Name, Value, Size, Bytes, Class) • You may need to click on the name bar and select size and bytes in order to see these parameters

  31. 4- Current Directory window

  32. 4- Current Directory Window • The current directory window is a list of files. • When you try to load information from a file or try to save information – MATLAB uses the current directory.

  33. 5- Document Window • If you double click on any variable in the workspace window MATLAB launches a document window containing the arrayeditor. • You can edit variables in the array editor.

  34. 5- Document Window

  35. 6- Figure Window • When Figures are created a new window opens. • It’s extremely easy to create graphs in MATLAB.

  36. Plotting x versus y.

  37. 6- Figure Window

  38. 7- Editing Window • This window allows you to type and save a series of commands without executing them. • There are several ways to open an editing window: • From the file menu • With the new file icon

  39. Open an editing window from the file menu or with the new file icon

  40. Save and Run Write your code in the editing window, then run it using the Save and Run icon

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