| Georg
Boenn |
Software |
Downloads Coupled Oscillator source code |
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| Music |
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| OpenGL animation and
sonification of the movements of many coupled oscillators.
The user can choose the number of particles, the length of
the connective strings and the mass of the particles. The
number of particles determines the number of possible modes
of vibration of the whole system. The user will then input
an amplitude value for each mode. The sonification is
handled by the Csound library. Every zero crossing of each
particle triggers a sound whose frequency and panning
position depends on the horizontal position of the particle
on the string. The sound is generated by the physical model
of a bar based on the work by Stefan Bilbao, which has been
implemented in Csound as the barmodel opcode. The animation was
inspired by one of Walter Lewin's 8.03 lectures at MIT. |
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| A superposition of 10 modes
generated by the same program as above. |
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| A totally different OpenGL
animation of the vibrations of a 2D drum skin. This
algorithm uses the finite difference method of solving the
2D wave equation, after a textbook program by Woolfson &
Woolfson. Finally, here is an animation of the simple harmonic motion |
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