Invicta
Application Formula
Determining the Model Best for Your Application
NOTE: THE FOLLOWING FORMULAS REPRESENT THE CALCULATIONS REQUIRED
TO DETERMINE THE GENERAL SIZE AND TYPE OF VIBRATOR FOR YOUR APPLICATION.
FOR SPECIFIC APPLICATION REQUIREMENTS, PLEASE CONTACT HINDON CORP.
ENGINEERING
DEPT. Email
Us
LINEAR
MOTION (CONTRA-ROTATING TWIN VIBRATORS) Vibrators with their axes in the
same plane and wired to contra-rotate will produce a linear motion
at right angles to the vibrator axes. Amplitudes are as given by the
formulas below.
CIRCULAR MOTION (SINGLE
VIBRATOR) True circular motion is
only obtained when the center of the vibrator coincides with the center
of gravity of the structure. When vibrators are fitted in noncenter
of gravity positions, the motion will be in the form of an ellipse
which varies at different points on the structure. Amplitudes given
by the formulas below are an average value suitable as an approximation.
AMPLITUDE FORMULA
a) For 864 CPM, App. = ..0.0945 x CF
.............................................LOAD
b) For 1152 CPM, App. = 0.0530 x CF
.............................................LOAD
c) For 1728 CPM, App. = 0.0236 x CF
.............................................LOAD
d) For 3456 CPM, App. = 0.0059 x CF
.............................................LOAD
e) Any Frequency, App. =
* Use CF at required frequency i.e.
CF = CF at max. freq. x
In no case should amplitudes exceed the following values:
SPEED...864 CPM...1152 CPM...1728 CPM...3456
CPM
App...........1.42"........0.795"..........0.354".........0.088"
Any frequency =
VIBRATOR ISOLATION
When using vibrator(s) on
vibratory equipment, it is necessary to allow freedom of
movement and also to prevent unwanted damaging vibrations
being transmitted to surrounding equipment and steelwork.
Generally, 95% isolation is satisfactory and will be obtained
using the resilient mountings having the following static
deflections under the weight of the structure, load, and
vibrator(s):
a) For 864 CPM, d = 0.990"
b) For 1152 CPM, d = 0.557"
c) For 1728 CPM, d = 0.248"
d) For 3456 CPM, d = 0.062"
For other values of deflection and frequencies isolation
% =
Total transmitted force is given by:
P Trans =
CENTRIFUGAL FORCE REQUIRED
If the frequency of vibration,
load, and amplitude required are known, the centrifugal
force required can be calculated from the following:
a) For 864 CPM, CF= ..App. x
LOAD
.........................................0.0945
b) For 1152 CPM, CF = App. x LOAD
.........................................0.0530
c) For 1728 CPM, CF = App. x LOAD
.........................................0.0236
d) For 3456 CPM,CF = App. x LOAD
.........................................0.0059
e) Any Frequency, CF =
WORKING MOMENT
The
working moment values given in the tables are twice the
working moment used to calculate the centrifugal force and
are used as another method for calculating the amplitude
peak to peak from:
App.
= Working moment
LOAD
Also,
Working moment required = App. x LOAD
POWER REQUIREMENTS
The
power required from a vibrator depends on the nature of
the application and the degree of damping present. It can
be shown that for any application there is a peak power
requirement when damping is at an optimum level. The power
required then is:
For Linear vibration,
Watts max. =
App.
x CF x CPM
676
For
Circular vibration,
Watts max. =
App.
x CF x CPM
338
In most applications the power required can be taken as
one-fifth of the above values since damping rarely reaches
an excessive level. If the vibrator current is found to
be too high, the out-of-balance weights should be set back
until it reaches an acceptable figure.
NOTATION
App. = Amplitude peak to peak (inches)
CF = Total Centrifugal Force (pounds)
CPM = Frequency of Vibration (cycles per minute)
LOAD = Total weight of structure, vibrator(s), and any loading
(pounds)
Designs and/or specifications are subject to change without
notice.