Semiconductor Nems Resonant Frequency Calculator

Evaluate independently established NEMS modal stiffness/effective mass harmonic resonance, not assumed beam boundary-condition stiffness or measured spectral peak assignment.

Description

A mechanical mode has an effective mass and modal stiffness determined by its geometry and boundary conditions.

A mechanical mode has an effective mass and modal stiffness determined by its geometry and boundary conditions.1

Their harmonic oscillator ratio gives a conditional NEMS resonance frequency.

When to use Semiconductor Nems Resonant Frequency Calculator

Use this tool when you need to calculate the stated measurement summary or conditional model from matched observations. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.

How to use Semiconductor Nems Resonant Frequency Calculator and understand its results

  1. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
  2. Enter callerNemsModalStiffnessNPerM, callerNemsEffectiveModalMassKg, following the field table and calculation rules below, then run the tool.
  3. Read modeledNemsResonanceHz. Use the output table and calculation rules below to interpret units, signs, crossings, and flags.
  4. Correct any input issues and run again. Before using a successful result, review its units, signs, evidence coverage, and stated model or reference assumptions.
Input fieldMeaningValue typeRequirement
callerNemsModalStiffnessNPerMCaller NEMS modal stiffness n per mnumberRequired
callerNemsEffectiveModalMassKgCaller NEMS effective modal mass kgnumberRequired

Require positive modal stiffness in newtons per metre and positive effective modal mass in kilograms. Take the square root of their ratio and divide by two pi to return hertz.

f=sqrt(kmodal/mmodal)/(2π)

Read these symbols with the field meanings and branch or reference rules above.

Output fieldMeaningValue type
modeledNemsResonanceHzModeled NEMS resonance hznumber
json
{
  "input": {
    "callerNemsModalStiffnessNPerM": 4,
    "callerNemsEffectiveModalMassKg": 1
  },
  "output": {
    "modeledNemsResonanceHz": 0.3183098861837907
  }
}

Limitations and assumptions

Measurements, branch identification, units, and model applicability must be independently established. Results do not supply universal material constants, a complete physical model, or operating-condition approval.

Missing required fields, unknown fields, wrong types, and violated calculation rules return input issues. Numeric values must be finite; nonfinite numeric outputs are rejected.

Alternative or Complementary methods

For a related task, use Semiconductor Nems Mass Sensitivity Calculator: Mass-loading sensitivity describes the measured change in resonant frequency per added mass. Referring observed frequency noise through that slope estimates an input mass-noise scale without establishing a detection guarantee. For a complementary step, use Semiconductor Mems Resonator Quality Factor Calculator: Amplitude ringdown measures how a mechanical oscillation decays after excitation. Its decay time and resonance frequency define Q using an amplitude convention that differs from energy-decay time.

References

  1. Semiconductor Nems Resonant Frequency Calculator — tool.io

Similar or alternative tools

  • Semiconductor Nems Mass Sensitivity Calculator

    Mass-loading sensitivity describes the measured change in resonant frequency per added mass. Referring observed frequency noise through that slope estimates an input mass-noise scale without establishing a detection guarantee.

  • Semiconductor Mems Resonator Quality Factor Calculator

    Amplitude ringdown measures how a mechanical oscillation decays after excitation. Its decay time and resonance frequency define Q using an amplitude convention that differs from energy-decay time.

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