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robots:armadillo:hardware:gearratio [2012/08/01 10:36] claes [Armadillo - Gear Ratio] |
robots:armadillo:hardware:gearratio [2021/08/14 04:21] (current) |
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===== 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=17 $ | *$ N_c=17 $ | ||
*$ N_d=45 $ | *$ N_d=45 $ | ||
- | The drive wheel - all in m. | + | |
- | * $ C_d=0.4084 $ | + | |
- | * $ D_d=0.13 $ | + | |
- | * $ R_d=0.065 $ | + | |
- | The Belt - all in m. | + | |
- | * $ C_b=3.12 $ | + | |
- | * $ D_b=0.9931 $ | + | |
- | * $ R_b=0.4966 $ | + | |
which gives the following ratio | which gives the following ratio | ||
- | $$R_{belt/ | + | |
- | $$R=\frac{N_b}{N_a}*\frac{N_d}{N_c}*R_{belt/ | + | $$R=\frac{N_b}{N_a}*\frac{N_d}{N_c}=\frac{80}{22}*\frac{45}{17}=\frac{3600}{374}=\frac{1800}{187}=9,625 $$ |
+ | |||
+ | 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> | <file matlab gearing.m> | ||
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Nd=45; %large chain cog on driveshaft 2 | Nd=45; %large chain cog on driveshaft 2 | ||
- | %drive wheel | + | R = Nb/Na*Nd/Nc |
- | Dd = 0.13; %diameter in meters | + | G = Na/Nb*Nc/Nd |
- | Rd = Dd/2; % Radius in meters | + | |
- | Od = Dd*pi; % circumference | + | |
- | + | ||
- | %Belt | + | |
- | Ob = 3.12; % circumference in meters | + | |
- | Db = Ob/pi; % diameter in meters | + | |
- | Rb = Db/2; % Radius in meters | + | |
- | + | ||
- | %relationship - %This is the one needed | + | |
- | RelO = Ob/Od; | + | |
- | RelD = Db/Dd; | + | |
- | RelR = Rb/Rd; | + | |
- | + | ||
- | Rel = (RelO+RelD+RelR)/ | + | |
- | %Rel_O = Od/Ob; | + | |
- | %Rel_D = Dd/Db; | + | |
- | %Rel_R = Rd/Rb; | + | |
- | + | ||
- | R = Nb/Na*Nd/Nc*Rel | + | |
</ | </ |