Vibration Engineering

Modal Excitation Force Distribution Validity Index for Multi-Point Shaker Setup Calculator

Modal Excitation Force Distribution Validity Index for Multi-Point Shaker Setup engineering calculator.

Quick Answer

Calculate Modal Excitation Force Distribution Validity Index for Multi-Point Shaker Setup

Calculator

Force Distribution Validity Index (dimensionless)
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Result Interpretation

Modal Excitation Force Distribution Validity Index for Multi-Point Shaker Setup Calculator computes Force Distribution Validity Index in dimensionless using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Shaker 1 Force Magnitude = 10
  • Shaker 2 Force Magnitude = 10
  • Shaker 3 Force Magnitude = 10
  • Reference Force Magnitude = 10
  • Phase Difference Between Shaker 1 and 2 = 0
  • Phase Difference Between Shaker 2 and 3 = 0
  • Reference Phase Angle = 0.1

Expected Result:

  • Force Distribution Validity Index = 0

Engineering Interpretation:

Under the given input conditions, the calculated result is: Force Distribution Validity Index = 0 dimensionless.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

force distribution validity index = sqrt(pow((shaker 1 force magnitude - shaker 2 force magnitude)/reference force magnitude, 2) + pow((shaker 2 force magnitude - shaker 3 force magnitude)/reference force magnitude, 2) + pow((shaker 3 force magnitude - shaker 1 force magnitude)/reference force magnitude, 2)) * (1.0 / (1.0 + pow((phase difference between shaker 1 and 2 - phase difference between shaker 2 and 3)/reference phase angle, 2)))

Formula family: formula_vibration_modal_test_excitation_force_distribution_validator_for_multi_point_shaker_setup

Variables

SymbolLabelRoleDescription
F1 Shaker 1 Force Magnitude INPUT Shaker 1 Force Magnitude
F2 Shaker 2 Force Magnitude INPUT Shaker 2 Force Magnitude
F3 Shaker 3 Force Magnitude INPUT Shaker 3 Force Magnitude
phi12 Phase Difference Between Shaker 1 and 2 INPUT Phase Difference Between Shaker 1 and 2
phi23 Phase Difference Between Shaker 2 and 3 INPUT Phase Difference Between Shaker 2 and 3
F_ref Reference Force Magnitude INPUT Reference Force Magnitude
phi_ref Reference Phase Angle INPUT Reference Phase Angle
force_distribution_validity Force Distribution Validity Index OUTPUT Force Distribution Validity Index

Calculation Steps

  1. Enter the shaker 1 force magnitude in N.
  2. Enter the shaker 2 force magnitude in N.
  3. Enter the shaker 3 force magnitude in N.
  4. Enter the phase difference between shaker 1 and 2 in rad.
  5. Enter the phase difference between shaker 2 and 3 in rad.
  6. Enter the reference force magnitude in N.
  7. Enter the reference phase angle in rad.
  8. Step 1: Compute force distribution validity index.
  9. Read the force distribution validity index (dimensionless) from the results.

Engineering Summary

Calculate Modal Excitation Force Distribution Validity Index for Multi-Point Shaker Setup

Frequently Asked Questions

What does this calculator calculate?

The Modal Excitation Force Distribution Validity Index for Multi-Point Shaker Setup Calculator estimates Force Distribution Validity Index based on the input parameters you provide

Why is shaker 1 force magnitude important in this calculation?

shaker 1 force magnitude is directly proportional to force distribution validity index. When you enter shaker 1 force magnitude in N, the calculator uses it in the engineering formula to compute the output

How should I interpret the result force distribution validity index?

The calculator outputs force distribution validity index in dimensionless. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Shaker 1 Force Magnitude (N), Shaker 2 Force Magnitude (N), Shaker 3 Force Magnitude (N), Phase Difference Between Shaker 1 and 2 (rad), Phase Difference Between Shaker 2 and 3 (rad), Reference Force Magnitude (N), Reference Phase Angle (rad). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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