Cleveland Vibrator Company
Rotary Electric Vibrator Sizing Info
The sizing of rotary electric vibrators is based on the ratio of material weight in the sloped wall section to the force output of the vibrator. For the majority of applications, the ratio should be one pound of vibratory force for every ten pounds of material in sloped wall section of the hopper. The 3600 rpm rotary electric vibrator units are used for the majority of applications and are well suited for materials which are in the "free flowing" to "difficult to flow" range. For particularly stubborn materials, the 1800 rpm units will provide greater amplitude than a 3600 unit of the same force output. When selecting an 1800 rpm rotary electric vibrator, use the chart to determine the proper size 3600 rpm vibrator, then select the 1800 rpm unit which develops the same force output.
To determine the weight of material in the sloped wall section, multiply the bulk density of the product by the volume (in cubic feet) of the hopper section.
To calculate the volume of a conical hopper:
1.0472 x vertical height x [R² + (R x r) + r²] = Volume
where R is the radius of the cone at the transition point and r is the radius of the cone at the discharge.
To calculate the volume of a rectangular or square hopper:
Vertical height/3 x [B + ½(B x b) + b] = volume
where B is the area at the transition point and b is the area at the discharge.
Most bin or hopper applications will require only one rotary electric vibrator. CVC recommends mounting the single drive as indicated in figure 1, locating the unit at a point on the sloped wall section that is 1/3 the height of the wall.
Applications involved with particularly stubborn material or hoppers larger than 100-ton capacity may require two or more vibrators. The recommended mounting is shown in figures 2 and 3. Normally, not more than three rotary electric vibrators would ever be required on a hopper or bin.
The following formulas should be used in calculating amplitude and force requirements for applications involving rotary electric vibrator equipment:
Amplitude = 70,500 x Force / Load x Frequency²
Force Required = Amplitude x Load x Frequency² / 70,500
Amplitude is in inches.
Force is in pounds.
Frequency is in motor rpm.
Load is in pounds and is defined as total weight of structure, vibrator and material.
For more information or help in sizing or placing the vibrator for your application, contact our sales department at 816-525-2691 or contact us.
Material in
Sloped Wall
1,100 lb. RE 0.5-216-20 gauge
2,200 lb. RE 1-21/8 - 3/16
4,400 lb. RE 2-23/16 - 1/4
7,700 lb. RE 3.5-23/16 - 1/4
13,200 lb. RE 6-21/4 - 3/8
22,000 lb. RE 10-23/8 - 1/2
35,200 lb. RE 16-21/2 - 3/4
50,600 lb. RE 23-23/4 - 1
66,000 lb. RE 30-21 - 1 1/4
88,000 lb. RE 40-21 1/4 - 1 1/2
Note: The frequency, vibrator weight and force figures for each CVC rotary electric vibrator are obtained from the data charts.
Recommended Mountings for Rotary Electric Vibrators