Vibration Engineering

Shaker Coil Thermal Rise Predictor (Duty Cycle Derated) Calculator

Shaker Coil Thermal Rise Predictor (Duty Cycle Derated) engineering calculator.

Quick Answer

Calculate Shaker Coil Thermal Rise Predictor (Duty Cycle Derated)

Calculator

Coil Temperature Rise (K)
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Result Interpretation

Shaker Coil Thermal Rise Predictor (Duty Cycle Derated) Calculator computes Coil Temperature Rise in K using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Coil-to-Ambient Thermal Resistance = 0.75
  • Excitation Duration per Cycle = 5
  • Average Input Power = 100
  • Coil Thermal Time Constant = 35
  • Total Cycle Period = 30

Expected Result:

  • Coil Temperature Rise = 17.344834140908

Engineering Interpretation:

Under the given input conditions, the calculated result is: Coil Temperature Rise = 17.344834140908 K.

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

coil temperature rise = (average input power * coil-to-ambient thermal resistance) * (1 - exp(-excitation duration per cycle / coil thermal time constant)) / (1 - exp(-total cycle period / coil thermal time constant))

Formula family: formula_vibration_shaker_electrodynamic_coil_temperature_rise_predictor_for_duty_cycle_validation

Variables

SymbolLabelRoleDescription
P_avg Average Input Power INPUT Average Input Power
R_th Coil-to-Ambient Thermal Resistance INPUT Coil-to-Ambient Thermal Resistance
t_on Excitation Duration per Cycle INPUT Excitation Duration per Cycle
t_cycle Total Cycle Period INPUT Total Cycle Period
tau_th Coil Thermal Time Constant INPUT Coil Thermal Time Constant
coil_temperature_rise Coil Temperature Rise OUTPUT Coil Temperature Rise

Calculation Steps

  1. Enter the average input power in W.
  2. Enter the coil-to-ambient thermal resistance in K/W.
  3. Enter the excitation duration per cycle in s.
  4. Enter the total cycle period in s.
  5. Enter the coil thermal time constant in s.
  6. Step 1: Compute coil temperature rise.
  7. Read the coil temperature rise (K) from the results.

Engineering Summary

Calculate Shaker Coil Thermal Rise Predictor (Duty Cycle Derated)

Frequently Asked Questions

What does this calculator calculate?

The Shaker Coil Thermal Rise Predictor (Duty Cycle Derated) Calculator estimates Coil Temperature Rise based on the input parameters you provide

Why is average input power important in this calculation?

average input power is directly proportional to coil temperature rise. When you enter average input power in W, the calculator uses it in the engineering formula to compute the output

How should I interpret the result coil temperature rise?

The calculator outputs coil temperature rise in K. 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: Average Input Power (W), Coil-to-Ambient Thermal Resistance (K/W), Excitation Duration per Cycle (s), Total Cycle Period (s), Coil Thermal Time Constant (s). 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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