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Example · Basics · ASOMmini

Approximate straight-line linkage by Chebyshev

How straight is the path of the Chebyshev straight-line linkage really? In ASOMmini, you build the four-bar linkage and read off the deviation directly.

ASOMmini with the Chebyshev straight-line linkage: four-bar linkage with crossed rockers, path of coupler point P with the straight section marked in red; on the right, the position diagram of P1:56
The task

How straight is the path?

A straight-line linkage turns a rotary motion into a straight-line motion; the simplest solution is a four-bar linkage. In Chebyshev's design, frame, rockers and coupler have a length ratio of 4 : 5 : 2. However, the path of coupler point P is only approximately straight – how accurate it is remains to be seen.

What ASOMmini shows here
  • The four-bar linkage is built from links and joints; you enter the joint positions numerically in the properties.
  • The animation draws the path of P as a trajectory, and a diagram shows its position over time – the Y coordinate tells you how straight the path is.
  • With a coupler length of 20 cm, the straight section lies within a corridor about 1 mm wide.
Your benefits

Check accuracy before anything is built

You see not only that the mechanism guides in a straight line, but also how accurately – and recognize early on whether the solution is good enough.

Numbers instead of judging by eye

You assess the straight-line linkage based on values from the diagram, not by eye. More on analysis

Weigh the variants

In a variant with a ratio of 5 : 6.5 : 2 and the same coupler length, the corridor becomes narrower than 0.2 mm, but the straight section is about 11% shorter.

Forces as well

Optionally, ASOMmini also calculates bearing forces and friction for the same straight-line linkage. More on force calculation

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