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.

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Resonance screening

Run the calculation

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.

01Effective moving mass
02Calculate and compare
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

Enter Effective moving mass, Equivalent system stiffness, Excitation frequency and replace every default with application data.
Run the calculation while keeping pressure, temperature, geometry, and reference states consistent.
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.

How to use the Natural Frequency Calculator

Start with measured or supplier-confirmed values for Effective moving mass, Equivalent system stiffness, Excitation frequency, Damping ratio. The calculator updates all outputs together, making it easier to see which assumption controls the preliminary selection.

What the result means

Natural frequency, Excitation-to-natural ratio, Ideal dynamic amplification, Natural cycles per minute answer different parts of the same engineering question. Use the primary result for selection, the secondary values to audit units and margins, and the visible formula to reproduce the calculation in an RFQ worksheet.

Engineering 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. Final approval requires the current manufacturer datasheet and validation under installed conditions.

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.