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Visualization of Transient Wave Behavior

Visualization of Transient Wave Behavior. Jeffrey Carroll Sophomore, Computer Engineering Dr. Robert W. Scharstein. System Used. PC using MATLAB MATLAB will be used to approximate wave forms Animations in MATLAB will be used to visualize wave behavior. Input/Output.

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Visualization of Transient Wave Behavior

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  1. Visualization of Transient Wave Behavior Jeffrey Carroll Sophomore, Computer Engineering Dr. Robert W. Scharstein

  2. System Used • PC using MATLAB • MATLAB will be used to approximate wave forms • Animations in MATLAB will be used to visualize wave behavior

  3. Input/Output • Input physical parameters of boundaries and initial point • Output Animations of wave forms in 3 dimensions

  4. What am I modeling? • First, the vibrations along a string • This is only 2 dimensions • The end result will be the wave forms along a fixed-boundary circle • For instance, a drum head – 3 dimensions • Each will be stimulated at an infinitely small point

  5. The movements of waves along a timpani head can be modeled using my final product

  6. Functional Modular Design 2/19 One-Dimensional Fourier Series 3/13 Fourier Series solution of vibrating string Border Value Problem, with animation 3/27 Solution of rectangular membrane Border Value Problem with animation 4/17 Solution of circular membrane Border Value Problem with animation - must show understanding of Bessel functions

  7. Any Questions?

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