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Toggle push mechanism:See the motion near link alignment

Two links straighten to move a red slider. As they approach alignment, a change in link angle produces less slider travel. Change link lengths and opening angles to see the difference.

You can also size links a and b from required travel. Set angular limits and the length ratio, then apply the result to check the motion.

Linkages & rockers

Cams, gears & indexing

Toggle push mechanism

Slider travel / full stroke
InputConnection / contactOutput

At 1×, 15 cycles/min takes 4 seconds per open–close cycle. Playback scale changes elapsed time only, not the motion relationship. Drawing scale stays fixed during playback.

More speeds and timings
Slider velocity
Input link angle θ
Cycle time

Change dimensions & drive

Change blue values → use the button to return to the drawing

a, b: 1–10,000 mm; 0.2° ≤ θmin < θmax ≤ 80°; b > a sin θmax. Rate: 0.1–3,000 cycles/min.

What to watch

Travel is zero at the open position; x in the drawing is distance from fixed point O. Compare blue link angle with red slider position. Slider travel becomes small near alignment. This model does not pass through alignment or model over-centre locking.

Motion model & scope

O is fixed; B = (a cos θ, a sin θ), C = (a cos θ + √(b² − a² sin² θ), 0). A prescribed cosine motion varies θ between its limits; one cycle is open–close–open. Velocity is the derivative of this position. A minimum angle of 0.2° avoids the dead point. Clamping force, holding, locking, friction, strength and the actuator are not modelled.

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