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- From: cerikson@occs.cs.oberlin.edu (Carl Erikson)
- Subject: Double Pendulum
- Sender: nobody@ctr.columbia.edu
- Organization: Oberlin College Computer Science
- Date: Tue, 17 Nov 1992 22:06:53 GMT
- Message-ID: <CERIKSON.92Nov17170653@occs.cs.oberlin.edu>
- Distribution: sci
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-
- Hello,
- I am currently involved in a software project to create a simulation
- of a double pendulum. A double pendulum has two axis of motion:
-
- .
- \
- A1\ L1
- \
- o M1
- A2/
- / L2
- /
- o M2
- It consists of two pivot points of mass M1 and M2 and two levers of length
- L1 and L2. The angles between the two pivot points are A1 and A2. During
- the simulation, only A1 and A2 change.
- I found some equations that describe this system. They are of
- the form:
- A1'' = ...
- A2'' = ...
- I used these equations in a prototype and found them to produce
- some very weird behavior (I think even weird for a double pendulum). I used
- the Runge Kutta method (4-step) for estimating integration. I do not have the
- physics background to determine if the equations I have are correct. I'm sure
- someone has already produced error free equations of the double pendulum and
- I would appreciate it greatly if I could compare mine with them. So, if you
- have worked with the double pendulum before, please e-mail me at
- cerikson@occs.cs.oberlin.edu with any advice that you have. It will be
- greatly appreciated!
-
- Carl Erikson (cerikson@occs.cs.oberlin.edu)
-