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robots:armadillo:hardware:gearratio [2012/03/05 11:56] claes [Armadillo - Gear Ratio] |
robots:armadillo:hardware:gearratio [2021/08/14 04:21] (current) |
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$$R=\frac{N_b}{N_a}*\frac{N_d}{N_c} $$ | $$R=\frac{N_b}{N_a}*\frac{N_d}{N_c} $$ | ||
+ | /* | ||
To get the correct gear-ratio the ratio between the drivewheel and the belt also needs to be taken in to account. The belt and drivewheel can be seen as 2 cirkles, the ratio is the the ratio between circumference , diameter or radius. | To get the correct gear-ratio the ratio between the drivewheel and the belt also needs to be taken in to account. The belt and drivewheel can be seen as 2 cirkles, the ratio is the the ratio between circumference , diameter or radius. | ||
$$R_{belt/ | $$R_{belt/ | ||
+ | |||
+ | */ | ||
The complete solution for the gear-ratio in the beltmodule is | The complete solution for the gear-ratio in the beltmodule is | ||
- | $$R=\frac{N_b}{N_a}*\frac{N_d}{N_c}*R_{belt/ | + | $$R=\frac{N_b}{N_a}*\frac{N_d}{N_c}$$ |
===== Gears ===== | ===== Gears ===== | ||
- | The beltmodule has the following gears | + | The beltmodule has the following gears from the motor to the drivewheel |
*$ N_a=22 $ | *$ N_a=22 $ | ||
*$ N_b=80 $ | *$ N_b=80 $ | ||
- | *$ N_c=10 $ | + | *$ N_c=17 $ |
- | *$ N_d=20 $ | + | *$ N_d=45 $ |
which gives the following ratio | which gives the following ratio | ||
- | $$R=\frac{N_b}{N_a}*\frac{N_d}{N_c}= \frac{80}{22}*\frac{20}{10}= \frac{160}{22}=7,27 $$ | + | |
+ | $$R=\frac{N_b}{N_a}*\frac{N_d}{N_c}=\frac{80}{22}*\frac{45}{17}=\frac{3600}{374}=\frac{1800}{187}=9, | ||
+ | |||
+ | From the divewheel to the motor the ratio is | ||
+ | |||
+ | $$G=\frac{N_a}{N_b}*\frac{N_c}{N_d}=\frac{22}{80}*\frac{17}{45}=\frac{374}{3600}=\frac{187}{1800}=0,10389$$ | ||
+ | |||
+ | <file matlab gearing.m> | ||
+ | close all; clear all; | ||
+ | |||
+ | %no of teeth on the cogs | ||
+ | Na=22; %Small belt cog on the motor | ||
+ | Nb=80; %large belt cog on driveshaft 1 | ||
+ | Nc=17; %small chain cog on driveshaft 1 | ||
+ | Nd=45; %large chain cog on driveshaft 2 | ||
+ | |||
+ | R = Nb/ | ||
+ | G = Na/ | ||
+ | </ |