Rotary to linear motion - Hoeken straight line mechanism

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You may want to update the title to be called the Chebyshev Lambda straight-line mechanism, instead of the Hoeken straight-line mechanism. The Hoeken straight-line mechanism relies on a slider and joint mechanism (a generalization is Wittgenstein's rod). It produces a similar shape but uses a fundamentally different approach.

Along with this, the link lengths do not seem to make any sense. Before simulating it, I noticed almost immediately that the 4-bar linkage with dimensions of 5cm, 3cm, 8cm, and 10cm would have to go collinear at some point. If the 3 cm link becomes collinear with the 5cm link, the distance between the ends will be, at the smallest, 2 cm, meaning that the 8cm bar must also be collinear the other links to reach the necessary length to fit in a 10 cm link, leaving the 10 cm link no choice but to also be collinear.

It's a bit difficult to explain all of this in words, so I re-simulated this in the video "Revisions on Smart Rabbit's Hoeken Straight Line Mechanism" if you'd like to see what I mean.

ArglinV
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Will this work in reverse? As in, could I put a little handle and spring on the top end and "row" it back and forth, spinning the wheel?

EccentricEnthusiadam
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