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In the clip above you can see the functionality of the Matlab script which does a partial simulation of the trajectory. The plan was to manipulate the point plot data by using a transformation matrix that could account for both the linear offset in X and Y of the platter from the crank pivot, which was my origin. And then it would also apply a rotational adjustment with a angle indexed to the crank by via the gear ratio. However those plans did not materialize and I was only able to plot the four bar curve by itself. In theory this is acheivable by simply multiplying the 2x1 position vector by the following for the appropriate translation and angle values.
| cos Φ | -sin Φ | 11.5" |
| sinΦ | cos Φ | 2.75" |
| 0 | 0 | 1 |
Where 11.5" and 2.75" are the translations in x and y respectively. And in this case phi would be a function of the crank angle and would therefore need to be updated for each point. In conclusion, while there is still more work to do on this project to get it to where it would have been had all my goals been reached, I was abled to yet still get a functional mechanism out of my efforts that somewhat reliably produce spirograph like curves. It is a disappointment to not have been able to predict the curves generated though, and I believe with more effort it can still be achieved. However I ran out of time and this is where it will be left for now.
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