This calculator treats the selected spring and armature as an ideal undamped single-degree-of-freedom oscillator. It calculates fn=(1/2π)√(k/m), absolute detuning |fd−fn| and frequency ratio fd/fn. It does not predict resonant stroke or fan airflow.
Solenoid Electric Fan · Undamped Tuning Ledger
Explore exact ideal mass-spring tuning without inventing a resonant gain or fan stroke.
Equation Used
- The selected mass is the effective translating mass.
- The selected spring rate is linear and positive.
- The natural-frequency result is undamped.
- Static stroke is a selected reference and is not dynamically amplified.
- Electromagnetics, damping, preload, stops, fan loading, fatigue and safety are excluded.
The source's arbitrary Gaussian stroke-gain curve is replaced by exact detuning and frequency-ratio outputs.
Ideal tuning reference
The drawing is a disclosed mass-spring-solenoid topology with exact frequency and selected-stroke scales. Actual fan construction, electromagnetic force, damping and airflow are not supplied.
What the calculator determines
Select spring rate, effective moving mass, drive frequency and a static stroke reference. The first two determine the ideal undamped natural frequency; drive frequency determines detuning and the dimensionless frequency ratio.
Undamped tuning identities
fn=(1/2π)√(k/m); Δf=|fd−fn|; r=fd/fn. The selected static stroke is reported unchanged.
Selected-input example
At k=142.1 N/m and m=1.0 g, the ideal undamped natural frequency is about 60.0 Hz. A 60 Hz drive is therefore near r=1.
Tuning ledger, not amplitude prediction
Response amplitude requires forcing magnitude, damping, electromagnetic force-versus-gap behavior, spring preload, stops and the coupled fan load. The source's Gaussian gain curve was not a forced-vibration solution and has been removed.
Questions
Why is resonant stroke not predicted?
Neither damping nor drive-force amplitude is an input, so a finite response amplitude cannot be determined.
Does fn describe the complete fan?
No. It is the ideal undamped SDOF value for the selected k and effective mass.
References & Further Reading
- Wikipedia contributors. Solenoid. Wikipedia
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