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.

How It Works - Vibrating Screen Theory

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)
Vibrating Screen Motion Types & Eccentric Weight Mechanism
LINEAR MOTION Horizontal forces cancel Vertical forces add Stroke CIRCULAR MOTION Circular throw path Material tumbles Good stratification ELLIPTICAL MOTION Elliptical throw Adjustable by timing Best control Eccentric Weight Motion Path Material Flow
Linear
Counter-rotating
Circular
Single shaft
Elliptical
Phase offset

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

4.78 G
Peak Acceleration
OPTIMAL RANGE
Peak Acceleration
--
Amplitude
--
Peak Velocity
--
Frequency
--
Angular Velocity
--
Motion Type
Linear

Typical Operating Parameters

Equipment Type G-Force Stroke RPM
Shale Shakers (Linear)4-8 G4-10mm1200-1800
Shale Shakers (Elliptical)6-8 G5-8mm1400-1800
Scalping Screens3-5 G8-16mm700-1000
Fine Screening5-7 G3-6mm1500-2000
Dewatering Screens4-6 G6-12mm900-1200
Vibratory Feeders1-3 G3-8mm800-1500
High-Frequency Screens6-10 G2-4mm2400-3600

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