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29
Hydraulics
29.2
Characteristics of hydraulic cylinders
203 Articles  2254 Elements

Characteristics of hydraulic cylinders

29.2
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Fig. 1
hydraulic cylinder

The parameters of the lossy cylinder are described according to86 and87.

Eqn. 1
\require{color}\definecolor{myred}{RGB}{255,0,0} A_{\color{myred}D}=n\cdot d_{\color{myred}K}^{\color{myred}2}\cdot\frac\pi4
Eqn. 2
\require{color}\definecolor{myred}{RGB}{255,0,0} A_{\color{myred}Z}=n\cdot \left(d_{\color{myred}K}^{\color{myred}2}-d_{\color{myred}S}^{\color{myred}2}\right)\cdot\frac\pi4
Piston Area Pressure FaceAD=201.06cm2 
Piston Area Towing SiteAZ=122.52cm2 
Numbern = 1
Piston diameterdK = 160mm
Rod diameterdS = 100mm
1
Calc 1
piston faces
Eqn. 3
\require{color}\definecolor{myred}{RGB}{255,0,0} F_{\color{myred}D}=p\cdot\eta_{\color{myred}K}\cdot A_{\color{myred}D}
Eqn. 4
\require{color}\definecolor{myred}{RGB}{255,0,0} F_{\color{myred}Z}=p\cdot\eta_{\color{myred}K}\cdot A_{\color{myred}Z}
Compressive forceFD=411.6kN 
TractionFZ=246.96kN 
System pressurep = 210bar
Efficiency pistonηK = 0.98
Piston Area Pressure FaceAD = 200cm2
Piston Area Towing SiteAZ = 120cm2
210
Calc 2
cylinder forces
Eqn. 5
\require{color}\definecolor{myred}{RGB}{255,0,0} V_{\color{myred}D}=A_{\color{myred}D}\cdot s_{\color{myred}H}
Eqn. 6
\require{color}\definecolor{myred}{RGB}{255,0,0} V_{\color{myred}Z}=A_{\color{myred}Z}\cdot s_{\color{myred}H}
Displacement prestrokeVD=1l 
Displacement return strokeVZ=0.6l 
Piston Area Pressure FaceAD = 200cm2
Piston Area Towing SiteAZ = 120cm2
Stroke hydraulic cylindersH = 50mm
200
Calc 3
Eqn. 7
\require{color}\definecolor{myred}{RGB}{255,0,0} q_{\color{myred}D}=\frac{V_{\color{myred}D}}{T_{\color{myred}D}}
Eqn. 8
\require{color}\definecolor{myred}{RGB}{255,0,0} q_{\color{myred}Z}=\frac{V_{\color{myred}Z}}{T_{\color{myred}Z}}
Gulp flow pressureqD=2.4l/min. 
Gulp current drawqZ=2.4l/min. 
Displacement prestrokeVD = 1l
Displacement return strokeVZ = 0.6l
Print timeTD = 25sek.
Train timeTZ = 15sek.
1
Calc 4
gulp stream
Eqn. 9
\require{color}\definecolor{myred}{RGB}{255,0,0} v_{\color{myred}D}=\frac{s_{\color{myred}H}}{T_{\color{myred}D}}
Eqn. 10
\require{color}\definecolor{myred}{RGB}{255,0,0} v_{\color{myred}Z}=\frac{s_{\color{myred}H}}{T_{\color{myred}Z}}
Print speedvD=5mm/sek. 
Train speedvZ=10mm/sek. 
Stroke hydraulic cylindersH = 50mm
Print timeTD = 10sek.
Train timeTZ = 5sek.
50
Calc 5
Compressive forceFD=405.34kN 
TractionFZ=247kN 
Displacement prestrokeVD=1.01l 
Displacement return strokeVZ=0.61l 
Gulp flow pressureqD=6.03l/min. 
Gulp current drawqZ=7.35l/min. 
Efficiency pistonηK = 0.96
System pressurep = 210bar
Piston diameterdK = 160mm
Rod diameterdS = 100mm
Numbern = 1
Stroke hydraulic cylindersH = 50mm
Print timeTD = 10sek.
Train timeTZ = 5sek.
0.96
Calc 6
Calculation of an overall system
86
Schweizer / http://www.schweizer-fn.de/hydraulik/hydraulik.php / … / … / … / …
87
Findeisen, D.; Helduser, S. / Ölhydraulik / Springer Vieweg / Berlin / 2015 / 6. Auflage
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