did I make everyone go quiet with my logical answer from this afternoon??
serious response to making a sequential shift for an auto is not that complex.... most (all?) sequential shift mechanisms for manual gearboxes use a rotating drum with 2 pairs of slots in it, an arm from the gearbox goes into each of them, and when the drum is rotated, a gear is selected by pushing or pulling on each arm in the appropriate direction - IE for a manual mini, to get first, the drum would pull back on the first lever, and rotate the other to the right (a pull motion with a bell crank that makes the gearbox shaft rotate), second would be push forward on the first lever, and keep the 2nd to the right, then third is push on the 1st lever, and rotate to the left, and 4th gear is a pull and keep it to the left... so each time you want to shift a gear up, the drum rotates one direction, and shifting down rotates the other direction.....
here's a drum (though would have a track for each gear)
to set up an auto mini would be dead simple (in comparison to a manual), all the drum needs to do is pull the cable from the gearbox one step further for each gear you want to shift up, the drum would therefore just have a slot machined in it at a 45 degree angle, and when it's rotated, the cable end gets pushed to the next step....
simplifying from there, if you think about the drum, it's just a pattern that would be designed on a flat plate, then 'wrapped' around a cylinder.... they make it a cylinder so that it can stay in one place, if it was a flat plate, it'd need to move from side to side to push and pull the cable.
sooo.... if you wanted to make a really simple sequential shifter, you could just make up a plate that sits over the gearstick, with a slot cut across it at 45 degrees, mount the plate in slides that let it move sideways across the car, and set up a mechanism where when you want to shift up a gear, it knocks it to the right, and shifting down knocks it to the left - I suppose that's the easy bit though, the ratcheting mechanism Harley was referring to is the more complex bit. To power it electrically, a pair of grunty solenoids are the way to go, they don't need to hold, they just need to punch
but then you might know all that already
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