x ¼
ffiffiffiffi ffi
K
M
r
ð8:1Þ
In general, the natural frequency of pneumatic servo valve is much higher than
that of pneumatic cylinder. Assuming that the cylinder chamber is in balance when
it is closed, the natural frequency of pneumatic servo valve-controlled cylinder
system varies with the state of a certain mass of gas in the chamber. Cylinder
characteristics are derived from the volume of cylinder chamber, the change of air
pressure in chamber, the change of volume, and the equation of motion of the
movable part. Single acting or double acting cylinder system is equivalent to
load-mass equivalent spring system. Figure 8.2 is a schematic diagram of a single
acting pneumatic servo system. When gas is used as a working medium, the gas
density of a certain mass in cylinder depends on pressure and temperature, and the
Fig. 8.1 Load mass–spring system
Fig. 8.2 Single acting pneumatic cylinder or hydraulic cylinder
8.1 Pneumatic Cylinder and Hydraulic Cylinder
3
ffiffiffiffi ffi
K
M
r
ð8:1Þ
In general, the natural frequency of pneumatic servo valve is much higher than
that of pneumatic cylinder. Assuming that the cylinder chamber is in balance when
it is closed, the natural frequency of pneumatic servo valve-controlled cylinder
system varies with the state of a certain mass of gas in the chamber. Cylinder
characteristics are derived from the volume of cylinder chamber, the change of air
pressure in chamber, the change of volume, and the equation of motion of the
movable part. Single acting or double acting cylinder system is equivalent to
load-mass equivalent spring system. Figure 8.2 is a schematic diagram of a single
acting pneumatic servo system. When gas is used as a working medium, the gas
density of a certain mass in cylinder depends on pressure and temperature, and the
Fig. 8.1 Load mass–spring system
Fig. 8.2 Single acting pneumatic cylinder or hydraulic cylinder
8.1 Pneumatic Cylinder and Hydraulic Cylinder
3