Bepto Pneumatic logo
EN
Request Quote
EN

Resonance screening

Pneumatic Axis Natural Frequency Calculator

Estimate the natural frequency of a mass-spring axis, compare excitation frequency, and calculate idealized dynamic amplification with damping. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.

Updated

Use calculatorAll tools

Resonance screening

Run the calculation

Estimate the natural frequency of a mass-spring axis, compare excitation frequency, and calculate idealized dynamic amplification with damping. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.

Engineering inputsNatural Frequency Calculator

Enter the known application values. Outputs update instantly as units or assumptions change.

Use these values for preliminary sizing before final datasheet review.

Engineering visual

Natural Frequency Calculator calculation path

A moving mass enters a finite stopping or cushion distance. Velocity, stopping distance, deceleration, force, and absorbed energy share one motion path.

Natural Frequency Calculator calculation pathA moving mass enters a finite stopping or cushion distance. Velocity, stopping distance, deceleration, force, and absorbed energy share one motion path.MASS mVELOCITY vCUSHION / STOPSTOP DISTANCE sE = ½mv²
  1. 01Effective moving mass
  2. 02Calculate and compare
  3. 03Natural frequency
Natural frequency
Excitation-to-natural ratio
Ideal dynamic amplification
Natural cycles per minute

Calculation reference

What this tool checks.

Use the displayed relationship to understand how the entered conditions affect the result. Treat the output as a preliminary selection, then verify actual operating conditions, catalog limits, and safety margin.

Inputs

  • Effective moving mass
  • Equivalent system stiffness
  • Excitation frequency
  • Damping ratio

Outputs

  • Natural frequency
  • Excitation-to-natural ratio
  • Ideal dynamic amplification
  • Natural cycles per minute

Engineering guide

Use the result with the right context.

Calculate natural frequency calculator for a pneumatic application and compare the result with supplier data.

Calculation workflow

  1. Enter Effective moving mass, Equivalent system stiffness, Excitation frequency and replace every default with application data.

  2. Run the calculation while keeping pressure, temperature, geometry, and reference states consistent.

  3. Interpret Natural frequency, Excitation-to-natural ratio, Ideal dynamic amplification against the supplier datasheet, machine risk, and an appropriate design margin.

Assumptions and limits

  • The relationship is a first-pass rigid-body or elastic-member estimate; guides, joints, seals, and structural compliance can change the installed result.

  • Use pressure available at the actuator and verify mounting, cushioning, duty, speed, and catalog load limits.

FAQ

Common review questions.

01Tool noteWhat does the Natural Frequency Calculator calculate?

Estimate the natural frequency of a mass-spring axis, compare excitation frequency, and calculate idealized dynamic amplification with damping. It returns Natural frequency, Excitation-to-natural ratio, Ideal dynamic amplification, Natural cycles per minute so the primary answer and its supporting checks stay together.

02Tool noteCan I use the result as a final component selection?

Use it for preliminary engineering and RFQ comparison. Final selection must include supplier ratings, installation losses, transient conditions, applicable standards, machine risk, and validation testing.

03Tool noteWhy can a supplier calculation differ?

Supplier tools may use proprietary test curves, correction factors, rounding, leakage allowances, or reference conditions. Match those conditions and replace the defaults before comparing results.

04Tool noteWhat should I verify after using the Natural Frequency Calculator?

Check the entered units and reference conditions, then compare the calculated outputs with manufacturer ratings, application safety margins, transient loads, installation losses, and measured machine performance.