control ppt webpage hyd and pneu ch4 - (displacement Input...

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Hydraulic components h Reservoir h pump with prime mover h valves h oil lines h motors Pumps piston vane gear
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Atmos. pressure
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Hydraulic Transmission
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Piston Pump:
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Piston Pump: Inlet Outlet Pump out flow rate Q p = vol. of cylinder x no. of cylinders x speed
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q p = q m + q l +q c q p = k p x = k m d θ /dt + k l p+ k c dp/dt T m =K T p = J d 2 θ /dt +B d θ /dt q m p =T m d θ /dt If leakage is assumed zero ?
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Sump Pump Sump Hydraulic valve
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Hydraulic Linear Actuator (Double acting Cylinder) Pump Sump Pump can act as hydraulic motor also.
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Sump Pump Sump
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x Q K 1 1 / A v 1 / s y
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Sump Pump Sump x y z a b Rate of oil flow into the piston q = Adz/dt
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a b x y + y + = b a + b x
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z y - y - = a a + b z
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x y + z - b a + b K 1 /As a a + b y - y
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Sump Pump Sump x y z a b B M z
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b a + b K 1 + - K 2 P 1 A s + Q a a + b x z - Suppose Q = K 1 y - K 2 P Where P is the pressure of hydraulic supply
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P A = force = ( M s 2 + B s ) z(s) ) ( 2 s z A Bs Ms + P ( s ) = = G (s) z(s)
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b a + b K 1 + - 1 A s + Q a a + b x z G(s) P K 2 -
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Advantages over Hydraulic Systems No return lines required Non inflammable Negligible Viscosity Considerable compressibility Lack of lubricating property Less operating pressure Disadvantages over Hydraulic Systems Pneumatic Systems
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Pneumatic bellows Output
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Unformatted text preview: (displacement) Input pressure Pneumatic Components A( Δ p)= k b Δ x so Δ X(s)/ Δ P(s) = ? b a Output (pressure) Air supply Orifice P b P s x e Flapper Nozzle valve Δ P b Δ e (slope K = Δ P b / Δ e) P b P a Flapper valve characteristic: e =a/(a+b).x Δ P(s)/ Δ X(s) = ? a b Δ x Δ p b P s Δ P b (s) / Δ X (s) ( ) b a Kb Ab a Kf b a b + +       + = / 1 ( ) b a K A a K b a b b b f + +       + = / 1 Δ x b/(a+b) K f a a+b A b K b +-Δ P b a b Δ x Δ P b R C Δ P c P s RCs s Pb s Pc Pc Cs R Pc Pb + = Δ Δ ∴ Δ =-Δ 1 1 ) ( ) ( RCs s P s P P Cs R P P b c c c b + = Δ Δ ∴ Δ = Δ-Δ 1 1 ) ( ) ( K f a a+b +-A b /K b a+b Δ x Δ P b 1 1+RCs Flapper valve with relay Input (pressure) Spring Backing plate Output S t e m D i a p h r g (displacement) Pneumatic Actuator A( Δ p)= Md 2 Δ y/dt 2 +d Δ y/dt +k Δ y Δ Y(s)/ Δ P(s) ?...
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control ppt webpage hyd and pneu ch4 - (displacement Input...

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