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.
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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.