PNachtwey
Electrical
- Oct 9, 2004
- 772
No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No! No!Unless there is cavitation in the oil, the equation, V=Q/A, is always true.
It is people like you that screw up hydraulic servo designs that others need to fix or live with.
Flow doesn't cause motion. Flow is the result of motion.
Flow equalizes pressure or energy. It is force that makes things go.
Also, oil compresses or expands so velocity cannot be proportional to flow during these times.
Newton did not include flow in his 3 laws of motion.
You can not calculate how a mass will accelerate using V=Q/A
In the recent thread it was pointed out that the press would fall down if oil was not metered out on the rod side and that there would be cavitation. No oil would be necessary, only gravity.
I have been arguing this point on different hydraulic forums for 20 years now. I don't know who teaches V=Q*A. They harm the hydraulic industry by their failures and make people think motors are the only way to go.
There are two equations that are very important to hydraulic servo control
one is how pressure increases and decreases
Code:
There is an important equation missing.
dP/dt=E*(Q(t)-Velocity(t)*Area)/(DeadVolume+Position(t)*Area)
P(t)=P0+integral of E*(Q(t)-velocity*Area)/(DeadVolume+Position*Area) dt
Velocity is positive when extending
Position increases when extending
Notice there is a term Q(t)-Velocity(t)*Area. When this term is 0 the pressure does not change so the force does not change.
This equation must also be applied to the opposing side of the piston.
Then it is possible to calculate the net force using Pa*Aa-Pb*Ab-friction
Then it is possible to calculate the acceleration and integrate acceleration to get velocity and integrate the velocity to get position.
That is a lot of calculus or differential equations that must be solved simultaneously for a good simulation.
The other must know equation is the VCCM equation. The VCCM calculates the peak steady state velocity
Peter Nachtwey
Delta Computer Systems