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Nt1310 Unit 5 Lab Report Physics

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7 VanePump
PVR1T-8-FRA-28
Yuken 1

8 Electricmotor
3hp x1440rpm;50Hz
Foot Mounting Monark/ CGL 1
The hydraulic circuit of the system is shown in figure 2. Figure 2: Circuit Diagram of Hydraulic system

4. Mathematical Modeling of the Components
4.1 Modeling of Valves and Actuators
The input to the system is the movement of the valve xi. This allows the flow of oil into the cylinder of Q m3\s which makes the cylinder move a distance xo [6]. Assuming constant supply pressure the flow rate is directly proportional to the valve position,
Q=kv.xi (1)
Where kv is the valve constant and examining its unit, it would be m2/s and area of the piston is m2.
Thevelocityof theactuator is v =dx0/ dt and this is related to theflowand the piston areaby the law of continuingthat …show more content…
4.2. Modeling of Direction and Flow Control Valve
A spool valve used for metering purposes controls flow rate by throttling. Each port in a valve that is partially closed by a land on the spool becomes a control throttle.The rate of flow of fluid through such a valve depends on the spool displacement from the null position
“x” and on the pressure upstream and downstream of the valve. One way of representing the flow rate “q” through a valve is q = kq.x-kc.pm (6)
Where, q = Flowrate kq. = Flow

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