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Metronome with Driving Force

14 Oct 2008 (Updated 14 Oct 2008)

Demonstrate synchronisation of five metronomes

File Information
Description	Ok, my approach is very different from the ones I have seen. I followed four premises: a) The pendulum is essential linear, and the nonlinearity of the angle is not relevant. (This is an assumption, and I make no attempt to verify it.) b) Any coupling between n resonators creates n resonance frequencies that are diverging with increasing coupling, so no synchronisation here. c) A metronome is driven by a spring to compensate for the friction, and the direction of the force switches a bit after the metronome has passed angle 0. d) Synchronisation happens because the shared based shifts this switching point to earlier or later (the angle remains the same). Just run the file, and you will see it happening pretty soon. This model is based on the Simulink model of xianfa zeng, which is a really nice framework. The pendulum model is very different, though. Both are inspired by "Challenge: Metronome and Cart Equations of Motion" on Seth's blog.
Acknowledgements	The author wishes to acknowledge the following in the creation of this submission: Metronome Synchronization
Required Products	Simulink
MATLAB release	MATLAB 7.5 (R2007b)
Zip File Content
Other Files	metronomeAnimation1.m, metronome_ts.mdl

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Everyone's Tags	controls, metronome, modeling, simulation, simulation models, systems
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Tag Activity for this File
Tag	Applied By	Date/Time
simulation	Thomas Steffen	22 Oct 2008 10:24:20
metronome	Thomas Steffen	22 Oct 2008 10:24:20
controls	Thomas Steffen	22 Oct 2008 10:24:20
systems	Thomas Steffen	22 Oct 2008 10:24:20
simulation models	Thomas Steffen	22 Oct 2008 10:24:20
modeling	Thomas Steffen	22 Oct 2008 10:24:20

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