Phase-adjusted eccentric-mass systems can vary a resultant vibratory-force amplitude by changing the relative phase of equal component forces. This calculator reports the ideal normalized resultant of two equal vectors.
Variable Power Vibrating Movement Interactive Calculator
Enter a separation angle and an aligned-resultant scale. Results are ideal vector addition—not physical force units, eccentric-mass sizing, deck response, resonance, motion amplitude or machine capacity.
Equation Used
- Two component vectors have equal magnitudes.
- The entered phase is their included separation angle from 0° to 180°.
- Entered maximum is the aligned two-vector resultant scale, not one component force.
- Frequency and component magnitudes are constant while phase changes.
- Eccentric mass, radius, speed, direction, torque, structural response, springs, damping, resonance, displacement, stress, bearings, controls and safety are omitted.
Documented Phase-Adjusted Eccentric-Mass Topology
U.S. Patent 6,212,445 describes two pairs of counter-rotating eccentric masses whose aligned periodic forces combine, with adjustable relative phase changing resultant amplitude between cancellation and addition. U.S. Patent 5,903,077 likewise documents fixed-amplitude, variable-phase individual vibratory forces that combine into a controllable resultant.
The animation shows the corresponding two-vector abstraction, not a complete four-rotor machine.
What This Calculator Represents
The tool adds two equal vectors separated by the entered angle, normalizes their resultant to the aligned case and applies that ratio to an entered display scale.
Ideal Equal-Vector Resultant
resultant magnitude = 2(F_aligned/2) cos(theta/2)
normalized resultant = cos(theta/2)
reduction from aligned scale = F_aligned - resultant
At 0° the vectors align; at 180° they cancel. Intermediate values are ideal vector magnitudes.
Worked Vector Example
With an entered aligned-resultant scale of 100% and separation 90°, the normalized magnitude is cos45°=70.71%. The displayed resultant is therefore 70.71%, and the reduction from the aligned scale is 29.29 percentage points.
Model Boundary
- Calculated: ideal magnitude from two equal vectors and a display-scale reduction.
- Illustrated: two phase-separated vector components and their resultant.
- Not calculated: actual rotating-mass force, direction through a cycle, frequency, machine motion, resonance, transmitted force, displacement, acceleration, stress, bearing life, controls or safety.
Frequently Asked Questions
Is the entered maximum one rotor's force?
No; it is defined as the aligned two-vector resultant scale.
Are the displayed percentages physical force units?
No.
Does the model calculate eccentric force from mass, radius and speed?
No.
Does it predict vibration amplitude?
No.
Are resonance and damping included?
No.
Can it size or approve a vibrating machine?
No.
References
- U.S. Patent 6,212,445, Vibration control system: phase-adjusted pairs of counter-rotating eccentric masses and resultant-amplitude control.
- U.S. Patent 5,903,077, Modular vibratory force generator: fixed-amplitude variable-phase forces combined into a controllable resultant.
- U.S. Patent 5,005,439, Inertia force generating device: controllable eccentric-rotor force magnitude, direction and phase.
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