Sales Industry Sector Metallurgy
Formulary Hydraulics
11.04.2011
2
CONTENTS
RELATIONS BETWEEN UNITS ............................................................................................................. 4
IMPORTANT CHARACTERISTIC VALUES OF HYDRAULIC FLUIDS ................................................ 6
GENERAL HYDRAULIC RELATIONS................................................................................................... 7
P
ISTON PRESSURE FORCE
...................................................................................................................... 7
P
ISTON FORCES
..................................................................................................................................... 7
H
YDRAULIC
P
RESS
................................................................................................................................. 7
C
ONTINUITY EQUATION
........................................................................................................................... 8
P
ISTION SPEED
....................................................................................................................................... 8
P
RESSURE INTENSIFIER
.......................................................................................................................... 8
HYDRAULIC SYSTEM COMPONENT ................................................................................................... 9
H
YDRO PUMP
......................................................................................................................................... 9
H
YDRO MOTOR
....................................................................................................................................... 9
Hydro motor variable ...................................................................................................................... 10
Hydro motor fixed ........................................................................................................................... 11
Hydro motor intrinsic frequency ..................................................................................................... 12
H
YDRO PISTON
..................................................................................................................................... 13
Differential piston............................................................................................................................ 14
Double acting cylinder .................................................................................................................... 15
Cylinder in differential control ......................................................................................................... 16
Cylinder intrinsic frequency at differential cylinder......................................................................... 17
Cylinder intrinsic frequency at double acting cylinder .................................................................... 18
Cylinder intrinsic frequency at plunger cylinder ............................................................................. 19
PIPING................................................................................................................................................... 20
APPLICATION EXAMPLES FOR SPECIFICATION OF THE CYLINDER PRESSURES AND
VOLUME FLOWS UNDER POSITIVE AND NEGATIVE LOADS........................................................ 21
D
IFFERENTIAL
C
YLINDER EXTENDING WITH POSITIVE
L
OAD
..................................................................... 22
D
IFFERENTIAL
C
YLINDER RETRACTING WITH POSITIVE
L
OAD
................................................................... 23
D
IFFERENTIAL
C
YLINDER EXTENDING WITH NETAGIVE
L
OAD
.................................................................... 24
D
IFFERENTIAL
C
YLINDER RETRACTING WITH NEGATIVE
L
OAD
.................................................................. 25
D
IFFERENTIAL
C
YLINDER EXTENDING AT AN INCLINED
P
LANE WITH POSITIVE
L
OAD
.................................. 26
D
IFFERENTIAL
C
YLINDER RETRACTING AT AN INCLINED
P
LANE WITH POSITIVE
L
OAD
................................. 27
D
IFFERENTIAL
C
YLINDER EXTENDING AT AN INCLINED
P
LANE WITH NEGATIVE
L
OAD
................................ 28
D
IFFERENTIAL
C
YLINDER RETRACTING AT AN LINCLINED
P
BLANE WITH NEGATIVE
L
OAD
............................ 29
H
YDRAULIC MOTOR WITH POSITIVE
L
OAD
............................................................................................... 30
H
YDRAULIC MOTOR WITH NEGATIVE
L
OAD
.............................................................................................. 31
IDENTIFICATION OF THE REDUCED MASSES OF DIFFERENT SYSTEMS................................... 32
L
INEARE
D
RIVES
.................................................................................................................................. 33
Primary applications (Energy method) ........................................................................................... 33
Concentrated mass at linear movements....................................................................................... 35
Distributed mass at linear movements ........................................................................................... 36
R
OTATION
............................................................................................................................................ 37
C
OMBINATION OF LINEAR AND ROTATIONAL
M
OVEMENT
.......................................................................... 38
HYDRAULIC RESISTANCES………………………………………………………………………………...39
O
RIFICE EQUATION
............................................................................................................................... 39
T
ROTTLE EQUATION
.............................................................................................................................. 39