Page 33 - Rotating Machinery Pratical Solutions to Unbalance and Misalignment

Developing the Vibration Equations
Chapter
Chapter
Chapter
Chapter
Chapter
Developing the
Developing the
Developing the
Developing the
Developing the
Vibration Equations
Vibration Equations
Vibration Equations
Vibration Equations
Vibration Equations
LIST OF SYMBOLS

————————————————————————————————
Symbol Subject Units
————————————————————————————————
A Acceleration Inches per second 2
A MAX Maximum acceleration Inches per second 2
D Peak-to-peak displacement Mils
dx/dt The derivative of displacement with respect to time
2
dx /dy 2 The second derivative of displacement with respect to time
f Frequency Hz
F Frequency Cycles per minute
G Acceleration of gravity Inches per second 2
π Pi 3.14159
t Time Seconds
V Vertical velocity Inches per second
V MAX Maximum velocity Inches per second
ω Angle displaced Degrees
X Vertical displacement Mils
X o Maximum displacement Mils
————————————————————————————————

In order to describe the characteristics of vibration, it is nec-
essary to understand the basic trigonometric functions of sine and
cosine. Since the vibratory motion repeats itself with respect to
time, these functions are useful in describing the displacement,
velocity, and acceleration associated with this type of motion.