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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