Type "Püttmann 1"type Püttmann 1

This is the first design Thomas Püttmann from Bochum (Germany) sent me. Central element is the "old" FischerTechnik differential. No longer sold by the manufacturer, it can still be obtained second hand easily.

Note the clever use of the tiny "teeth" on the rubber tires instead of bevel gears. Wheel 7 is just an idler, and the wheel base depends purely on the ratio between wheel 11 and the differential "barrel" if built as shown in the building instructions.

As usual, the dimensioning equations:
 
(a:) rot3 + rot5 - 2 * rot4 = 0
(b:) n1 * rot1 + n2 * rot2 = 0
(c:) n6 * rot6 = n8 * rot8
(d:) n9 * rot9 + n10 * rot10 = 0
(e:) n4 * rot4 + n11 * rot11 = 0
 The remaining constraints:
(f:) rot8 = rot9
(g:) rot2 = rot3
(h:) rot6 = rot5
Composition
(g,b=>) rot3 =  - (n1 / n2) * rot1
(c,f,h=>) rot5 =  (n8 / n6) * (n10 / n9) * rot10
(e,a=>i:) rot11 = (n4 / n11) * (1/2) * ( (n1 / n2) * rot1 - (n8 / n6) * (n10 / n9) * rot10)
To make it "south-pointing" requires, that if rot1 is held 0, rot11 has to be exactly one turn when wheel 10 of diameter d10 covered one full circle (centre at wheel 1's contact to the ground, radius equal to track width t):
(j:) d10 * rot10 * PI = 2 * t * PI   d1 * rot1 * PI = 2 * t * PI
(k:) rot1 = 0 rot10 = 0
(l:) rot11 = -1 rot11 = 1
(i=>) rot10 = 2 * (n11 / n4) * (n6 / n8) * (n9 / n10) rot1 = 2 * (n11 / n4) * (n2 / n1)
(j=>) d10 = 2 * t / rot10 d1 = 2 * t / rot1
The same method can be applied to calculate the required size for wheel 1, see rightmost column of table above.

Given Parameters (Your choice !)

Reference
Size Description
1
n1[teeth] Bevel gear, integral to wheel 1
2
n2[teeth] Bevel gear, fixed to lower differential shaft
4
n4[teeth] Barrel gear of differential
6
n6[teeth] Spur gear, fixed to upper differential shaft
8
n8[teeth] Spur gear, Fixed to wheel 9
9
n9[teeth] Bevel gear, driven by wheel 10
10
n10[teeth] Bevel gear, integral to wheel 10
11
n11[teeth] Pointer gear
T
t = [length units] Track width

Derived Parameters

Reference
Size Description
1
d1[units of t] Road wheel, free running on axle
10
d10[units of t] Road wheel, free running on axle

© odts 2010