Invented in 1864 the Peaucellier linkage (poo-selli-yeah) linkage was created as a way of making straight line from circular motion. It was used in steam engines to control valves without the need to guides. The peaucellier linkages, invented by, you guessed it, monsieur Peaucellier, is mathematics in motion. The four red parts are all the same length, the circle radius is the same as the green link and the two yellow linkages are the same length.


Using Flash

As long as these ratios are adhered too, the grey dotted motion line will be straight.


I've been helping #1 Son with his mathematics revision so I've been in a geometrical frame of mind. Inspired by the maths, here's my paper version of the Peaucellier linkage. The end of the linkage moves up and down maintaining the same distance from the vertical bar with the arrow on. Animation below.

I'll be doing this as a download then I'll have to find a use for it in a model. Something that moves up and down in a straight line. A meerkat? Groundhog?


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Comments

Monday 20th Jun 2011 07:23

Andy from Workshopshed

The Peaucellier linkage is one of many such things dicussed in the book "How round is your circle"

See: http://www.howround.com/

Monday 20th Jun 2011 10:07

robives

robives's picture

Ooo! Looks good!. Got mine ordered from Amazon.co.uk

Tuesday 21st Jun 2011 13:48

umehta

Or a leaping frog?

Saturday 13th Aug 2011 09:08

james johnson

description is rotary to linear motion which the model does not exhibit.

 

suggest http://kmoddl.library.cornell.edu/resources.php?id=1954 for minor mod of the linkage to demonstrate the conversion.