Formula for datum points

[Tofflemire]

Hi All,

I am trying to place a bunch of battery strings (circles) inside of a tube . Using the machinery's handbook there is different configurations for packing circles inside of circles. Has anyone ever made a formula for creating datum points or pattern table to assemble parts to pack circles inside of a circle?

Tofflemire

 

[Hora]

Tofflemire,

I don't know if I well understood your problem, but if you need a patern of tangent circles on a curve here is a solution:

Supposing you have a tube having an internal radius "Ri". You need to place N small wires inside (on a single circle). This circle will have a radius "R". The wires will have a radius "r"

Now, what you need in R or r, supposing you'll know how many wires you want to place or knwoing the wires radius, you want to know how many wires you can place.

Let's take the first one: You know "Ri", and N.

alpha = 360/N

r = R*sin(alpha/2)
R + r = Ri

Now you have:

R + R*sin(alpha/2) = Ri
R(1+sin(alpha/2)) = Ri

R = Ri/(1+sin(alpha/2))

And of course will result the wire radius:

r = Ri*sin(alpha/2)/(1+sin(alpha/2))

I hope this is what you want.

-Hora

 

[Tofflemire]

Hi Hora,

Thanks for your formula. When I used the words "battery string", I meant 12 d-cell batteries wired together in series to make a string, and then I place another string tangent and wire it to the other string in parallel etc... I need to place 24 of these strings tangent each other in 1 of the 4 the configuration shown in the machinery's handbook under the section Number of circles in a circle. I would to have a formula, pattern table or even a relation so I can change a couple of variables to get my strings locations quick and easily.

Sorry for the confusion.

Tofflemire
i Hora,

Thanks for your formula. When I used the words "battery string", I meant 12 batterys wired together in series to make a string, then I place another string tangent and wire it to the other string in paralle ect... I need to place 24 of these strings tangent each other in 1 of the 4 the configuration shown in the machinery's handbook under the section Number of circles in a circle. I would to have a formula, pattern table or even a relation so I can change a couple of varibles to get my strings location.

Sorry for the confusion.

Tofflemire