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Dan Russell's Acoustics and Vibration Animations

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This work by Daniel A. Russell is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License . Based on a work at http://www.acs.psu.edu/drussell/demos.html . Additional information about using this content is available at http://www.acs.psu.edu/drussell/Demos/copyright.html . Today is Wednesday, July 1, 2026. The contents (and links) on this page were last updated on August 21, 2025. I am in the process of attempting to bring all of the pages on this site into compliance with current HTML5, CSS3, and W3C Web Accessibility standards. The bullet symbols used in the lists below identify pages as The links below contain animations illustrating acoustics and vibration, waves and oscillation concepts. I started using Wolfram Mathematica to create animations to help me understand and visualize certain acoustics and vibration phenomena in 1992 while I was a Ph.D. student in the Graduate Program in Acoustics at Penn State. For the next 16 years (1995-20

Sound Waves and Sources Basic Wave Phenomena What is a Wave? - a disturbance which travels through a medium Wave Motion in Space and Time - distinguishing between the time behavior and spatial behavior of waves Superposition of Two Waves - Interference, Standing Waves, and Beats Fourier Decomposition - building a wave shape from sines and cosines Phase changes upon reflection from hard, soft, and mixed boundaries Reflections from Impedance and the Standing Wave Ratio. - A sinusoidal wave train reflects from an impedance discontinuity. The resulting wave pattern defines the Standing…

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