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24-Ruby IV
ValeryOchkov24-Ruby IV
24-Ruby IV
August 29, 2018
Question

One interesting problem with closed chain

  • August 29, 2018
  • 1 reply
  • 2489 views

(Bicycle) chain is slung over two blocks.

Given: r1, r2, x2, y2 (x1=y1=0) and L.

Find: a form of the chain.

Слабо?

Bike_Chain-2.png

Bike_Chain.png

 

If r1 and r2  -> 0 (or L -> infinity) we have this problem - see here.

1 reply

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
August 30, 2018

One solution at r1=r2 and y2=0 (two picture and Mathcad 15 sheet in attach).

Bike_Chain-Solution-1.pngBike_Chain-Solution-2.png

 

F
Fred_Kohlhepp23-Emerald I
23-Emerald I
August 30, 2018

Your two pictures assume that one side (either the top or the bottom) is taunt--a straight tangent.  But bike sprockets can introduce torque (see your picture in the first post.  You can have any intermediate configuration between your two extremes.  There's another variable--sprocket torque.

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
August 30, 2018

Thanks Fred!

(More) correct result

Bike_Chain-Solution-1.pngBike_Chain-Solution-2.png

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