Related Resources: vibration

Pneumatic System Natural Frequency Equations and Calculator

Machine Design and Engineering

Pneumatic System Angular Natural Frequency Equations and Calculator

Pneumatic System Angular Natural Frequency Equations and Calculator

ωn = [ ( 2 p S2 ) / ( m Vo ) ] (1/2)

Where:

p = Pressure at Each End of Cylinder Bore ( lbs/in2 ),
Vo = Volume of Each End of Cylinder (in3),
S = Area of Piston ( in2 ),
m = Mass of Piston (lb-sec2/in ),
ωn = Angular Natural Frequency ( rad/sec or Hz)

1 rad/sec = 1/( 2π ) Hz

Related and Useful Links:

Reference Harris, Shock and Vibration Handbook