yes Flashcards
formula for meshing frequency
rpm * (input teeth)/60
damper against wall formula
C*ẏ
spring against wall
KY or KU
spring
K(U-Y)
Time constant simple formula
Settling time/4
wd formula from graph
1/(x1-x2) *2pi
δ logarithmic decrement to find damping ratio
δ = ln(x1)/(x2)
ζ damping ratio using zeta
ζ = (δ)/(sq root(4(pi^2) + δ^2))
Acl = ?
A - BK
Formula to find characteristic equation
Det(SI-Acl)
Formula to find damping ratio from characteristic equation
ζ = (b)/(2 * sqroot(c))
gear ratio
Ouput gear teeth/ input gear teeth
gear speed using input speed rpm
Input gear speed (rpm)/gear ratio
where does the root locus happen in relation to the poles and zeros?
to the right of odd numbered poles and zeros
in what direction do poles and zeros move?
from pole to zero
where do asymtotes intersect the real axis?
At δ (in formula book)
what angle do they come off at?
θ (formula in formula book)
what does n represent in the root locus formula?
0,1,2,3,….
How to spot a lead compensator?
If zero is further from origin than the pole
how to spot a lag compensator?
if the pole is further from the origin than the zero then its a lag compensator
how to spot a lead lag compensator?
If on average the poles and zeros are equally distanced from origin. Like a pole 1cm away and 5cm away and atwo zeros 3cms away
how to find breakpoint from root locus?
differentiate the bottom of fraction then solve.
for harsh environments what needs to be considered for controller and peripheral components?
IP ratings, Dust, Vibration mounts, anti static
