Copyright Questions and Permissable Use of Animations

The contents (and links) of this page were last updated August 31, 2007

New Animations:

• Bending and Torsional Vibration in a Hockey Stick (added 8/31/2007)

Basic Wave Phenomena

• What is a Wave? - a disturbance which travels through a medium
• Superposition of Two Waves - Interference, Standing Waves, and Beats
• Fourier Decomposition - building a wave shape from sines and cosines [no text yet , but movies work]
• Phase changes upon reflection from hard, soft, and mixed boundaries
• Refraction of Sound Waves - how temperature gradients make sound waves change direction
• The Doppler Effect - moving sound sources and sonic booms

Sound Waves and Radiation from Sources

• Longitudinal and Transverse Waves - Particle Motion for Longitudinal, Transverse, Water and Rayleigh Surface Waves
• Sound Fields Radiated by Simple Sources - pressure sound fields produced by monopole, dipole, and quadrupole sources
• Sound Radiation from Cylindrical Radiators - particle motion and sound fields produced by vibrational modes of a cylinder
• Sound field radiated by a Tuning Fork - animations to accompany a paper submitted to the American Journal of Physics
• The Baffled Piston - approximation of the sound field radiated by a loudspeaker

More Complicated Wave Phenomena

• Evanescent Modes in Waveguides - higher order modes in ducts driven above and below their cutoff frequency.
• Phase Speed versus Group Speed --- Dispersion (wave speed not constant) [under construction, but movies work]
• Examples of Dispersive Waves --- Flexural waves and Quasi-longitudinal waves on a rod

Room Acoustics

• Driving room modes & source location - How does the (resonance) response of a room depend on source location?
• Reverberation Times in a small room - sound files and plots for measurements of T₆₀.

Vibration of 1-DOF Simple Oscillators

• Comparing Circular and Sinusoidal Motion - how is circular motion in the complex plane (magnitude and phase) related to sine and cosine functions?
• Simple Harmonic Oscillator - with and without damping, transfer of energy between kinetic and potential forms
• Damped Harmonic Oscillator - underdamped, overdamped, and critically damped
• Forced Harmonic Oscillator - transient and steady state response to a force applied to the mass
• Base Motion - transient and steady state response of an oscillator to displacement of its support
• The Simple Pendulum - comparing the linear approximation (small angle) with a real pendulum

Vibration of Multi-DOF Systems

• Coupled Oscillators - energy transfer between two mass-spring systems coupled together
• Dynamic Absorbers - J.P. Den Hartog's classical undamped tuned dynamic absorber
• Vibrational modes of a multi-dof system - progression of mode shapes from single degree-of-freedom to continuous structure

Vibrational Modes of Continuous Systems

• Vibrational Modes of a Hanging Chain - mode shapes for a hanging chain
• Vibration of a Fixed-Fixed String - mode shapes, and frequency spectra for a plucked string
• Rectangular Membrane - and degenerate modes of a square membrane [no text yet, but movies work]
• Circular Membrane - or how a drum head vibrates
• Flexural Vibrations of a Beam - how the mode shapes depend on boundary conditions (no text yet, but animations work)
• Vibration of Baseball Bats - bending modes (sweet spot) and cylinder modes (ping)
• Bending and Torsional Vibration in a Hockey Stick - flexural bending and torsional twisting vibration in a hockey stick
• Vibration Modes of a Glass Beer Bottle - what vibration shapes are responsible for the "clink" of a glass bear bottle?
• Vibrational Modes of an Electric Guitar - actual experimental Modal Analysis data
• Vibrational Modes of an Acoustic Guitar - actual experimental Modal Analysis data
• Tacoma Narrows Bridge - (0.668 MB mpeg movie) - when engineers don't account for resonance when designing structures
• Motion of the Center-of-Mass - not exactly acoustics and vibration, but the animations are cool

Optical Ray Tracing

• Ray Tracing for Mirrors [no text yet, but movies work]
• Ray Tracing for Lenses [no text yet, but movies work]
• Diffraction - how waves bend around corners

Light as an Electromagnetic Wave

• Double Slit Interference => JAVA Applet by Physics 2000

Human Sight - How the Eye Works

• How We See: The First Steps of Human Vision - Diane M. Szaflarski, Ph.D
• Check out some neat optical illusions at Illusions Works and The Science Museum of London

Matter Waves (Particle-Wave Duality)

• Atomic Spectra (Emission and Absorption)
• When Particles Behave Like Waves (in 2-D)
• Double Slit Interference for Particles! => JAVA Applet by Physics 2000

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