Comments on: Challenge: Metronome and Cart Equations of Motion http://blogs.mathworks.com/seth/2008/10/09/challenge-metronome-and-cart-equations-of-motion/ This blog is about Simulink. Mon, 23 Nov 2009 00:24:59 +0000 http://wordpress.org/?v=2.3.1 By: Thomas Steffen http://blogs.mathworks.com/seth/2008/10/09/challenge-metronome-and-cart-equations-of-motion/#comment-575 Thomas Steffen Tue, 14 Oct 2008 18:05:56 +0000 http://blogs.mathworks.com/seth/2008/10/09/challenge-metronome-and-cart-equations-of-motion/#comment-575 I have uploaded a file, but it will take a while to appear. I think the synchronisation will not work with a purely linear model, because that will produce several resonance frequencies. I modelled the driving force of the metronome, and that did the trick. I have uploaded a file, but it will take a while to appear. I think the synchronisation will not work with a purely linear model, because that will produce several resonance frequencies. I modelled the driving force of the metronome, and that did the trick.

]]> By: Seth http://blogs.mathworks.com/seth/2008/10/09/challenge-metronome-and-cart-equations-of-motion/#comment-572 Seth Fri, 10 Oct 2008 19:08:17 +0000 http://blogs.mathworks.com/seth/2008/10/09/challenge-metronome-and-cart-equations-of-motion/#comment-572 @ABindermann - you are right... I should flip the metronome scope. Is this an appropriate mechanical model for a metronome? I have played around with a version using an inverted representation and a spring to stabilize it, and I didn't see much difference in the behavior. The other experiment I tried was adding friction to the metronome and an energy reserve to kick the pendulum back. I found all of this made things more complicated without much benefit. This is the metronome I was thinking about as I approached the problem: <img src="http://blogs.mathworks.com/images/seth/2008Q4/metronomePendulum.png"/> @ABindermann - you are right… I should flip the metronome scope. Is this an appropriate mechanical model for a metronome? I have played around with a version using an inverted representation and a spring to stabilize it, and I didn’t see much difference in the behavior. The other experiment I tried was adding friction to the metronome and an energy reserve to kick the pendulum back. I found all of this made things more complicated without much benefit.

This is the metronome I was thinking about as I approached the problem:

]]> By: ABindemann http://blogs.mathworks.com/seth/2008/10/09/challenge-metronome-and-cart-equations-of-motion/#comment-571 ABindemann Thu, 09 Oct 2008 16:30:44 +0000 http://blogs.mathworks.com/seth/2008/10/09/challenge-metronome-and-cart-equations-of-motion/#comment-571 Hmmm, is a simple pendulum an appropriate mechanical model for a metronome? What you've modeled is a vertically hanging, gravity stabilized pendulum rather than a spring stabilized inverted pendulum. Based on your approach you should "flipud" your metronome scope ;-) Hmmm, is a simple pendulum an appropriate mechanical model for a metronome? What you’ve modeled is a vertically hanging, gravity stabilized pendulum rather than a spring stabilized inverted pendulum. Based on your approach you should “flipud” your metronome scope ;-)

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