Vibrating Screen G-Force Calculator
Calculate the G-force of vibrating screens based on stroke length and vibration frequency. Includes motor power estimation, material throughput calculator, and motion type analysis for shale shakers, dewatering screens, scalping screens, and vibratory feeders.
Linear vs Circular vs Elliptical Motion
- Linear Motion: Created by counter-rotating eccentric weights. Material moves in a straight line at an angle to the screen surface. Best for scalping and heavy-duty applications.
- Circular Motion: Single shaft with eccentric weights creates circular throw. Material tumbles and stratifies well. Common in inclined screens.
- Elliptical Motion: Combination of linear and circular - adjustable by weight timing. Provides excellent material control and is popular in shale shakers.
Stroke Length and Frequency Relationship
- G-force increases with the square of frequency but only linearly with stroke
- Doubling RPM quadruples G-force; doubling stroke only doubles G-force
- Higher frequency with shorter stroke = fine screening (less panel wear)
- Lower frequency with longer stroke = coarse screening (better conveyance)
G-Force Requirements for Different Materials
- 2-3 G: Light, dry materials - vibratory feeders
- 3-5 G: Aggregate screening, scalping operations
- 4-6 G: Sand classification, dewatering screens
- 5-7 G: Fine screening, drilling fluid solids control
- 6-8 G: High-capacity shale shakers, difficult materials
- 8+ G: Specialized applications, high-frequency screens
Screen Efficiency and Material Flow
- Material must lift off the screen surface to allow passage of fines
- Optimal bed depth is 2-4x the aperture size
- Too much G-force causes "bouncing" and reduced efficiency
- Material velocity depends on stroke, frequency, and screen angle
- Typical material velocities: 0.3-0.5 m/s for screening, up to 1 m/s for feeders
Counter-Rotating Eccentric Weights Concept
- Two weights rotate in opposite directions on parallel shafts
- Synchronized by timing gears to maintain phase relationship
- Horizontal force components cancel out (sum to zero)
- Vertical force components add together (double the force)
- Result is pure linear motion perpendicular to shaft axis
- Angle of vibration set by screen deck angle (typically 5-25 degrees)
Stroke = 2 x Amplitude (total displacement peak-to-peak)
Dimensions in meters
Typical: 40-65% for woven wire, 25-45% for punched plate
Screen frame + deck + material on screen
Typical Operating Parameters
| Equipment Type | G-Force | Stroke | RPM |
|---|---|---|---|
| Shale Shakers (Linear) | 4-8 G | 4-10mm | 1200-1800 |
| Shale Shakers (Elliptical) | 6-8 G | 5-8mm | 1400-1800 |
| Scalping Screens | 3-5 G | 8-16mm | 700-1000 |
| Fine Screening | 5-7 G | 3-6mm | 1500-2000 |
| Dewatering Screens | 4-6 G | 6-12mm | 900-1200 |
| Vibratory Feeders | 1-3 G | 3-8mm | 800-1500 |
| High-Frequency Screens | 6-10 G | 2-4mm | 2400-3600 |
Formulas
G-Force from Stroke & RPM:
G = (2*pi*f)^2 * A / g
f = frequency (Hz) = RPM/60
A = amplitude (m) = stroke/2
g = 9.81 m/s^2
Simplified (RPM & mm):
G = RPM^2 * Stroke(mm) / 1,789,000
Motor Power Estimate:
P = M * A * omega^2 * omega / (2 * eta)
M = vibrating mass, omega = angular velocity, eta = efficiency