Isolator Static-Deflection Screen

Calculate the idealized vertical natural frequency from static deflection and compare it with an explicit caller maximum; real isolator selection still requires load and manufacturer data.

Description

Static spring deflection can estimate the natural frequency of an ideal vertical isolation mount.

Static spring deflection can estimate the natural frequency of an ideal vertical isolation mount. This approximation connects a displacement under gravity with small vertical oscillations.^[1]

The returned values include Estimated natural frequency, Meets caller maximum. The How section below explains the calculation, input rules and interpretation.

When to use Isolator Static-Deflection Screen

Use Isolator Static-Deflection Screen when you need to evaluate the supplied records under the calculation and evidence rules below. No damping, horizontal stiffness, manufacturer load range or transmitted-vibration model is included.

Choose the measured quantities, units, weighting and measurement basis before entering values. For a reference, select the exact topic. For a catalog lookup, prepare complete source-backed records; for a screen, select an applicable caller limit.

How to use Isolator Static-Deflection Screen and understand its results

Choose the measured quantities, units, weighting and measurement basis before entering values. For a reference, select the exact topic. For a catalog lookup, prepare complete source-backed records; for a screen, select an applicable caller limit.
Enter maximumNaturalFrequencyHertz, staticDeflectionMillimeters using the field table and calculation rules, then run the tool.
Read estimatedNaturalFrequencyHertz, meetsCallerMaximum. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
maximumNaturalFrequencyHertz	Maximum natural frequency (Hz)	number; minimum: 0	Required
staticDeflectionMillimeters	Static deflection (mm)	number; minimum: 0	Required

Enter finite strictly positive static deflection in millimeters and maximum frequency in hertz. Convert deflection to meters, use fixed gravitational acceleration 9.80665 m/s² and compare the resulting positive finite frequency with the inclusive maximum.

f=(1/(2π))×sqrt(9.80665/(deflectionMillimeters/1000))

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
estimatedNaturalFrequencyHertz	Estimated natural frequency (Hz)	number; minimum: 0
meetsCallerMaximum	Meets caller maximum	boolean

json

{
  "input": {
    "maximumNaturalFrequencyHertz": 4,
    "staticDeflectionMillimeters": 25
  },
  "output": {
    "estimatedNaturalFrequencyHertz": 3.152176050867292,
    "meetsCallerMaximum": true
  }
}

Limitations and assumptions

No damping, horizontal stiffness, manufacturer load range or transmitted-vibration model is included.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing fields without a declared default, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Floor Footfall Frequency Screen: A forcing frequency near a floor mode can justify a closer footfall assessment. This tool checks proximity against a caller-chosen frequency tolerance. For a complementary task, use Ceiling Hanger Layout Screen: A rectangular ceiling hanger grid estimate connects spacing with hanger count and total declared capacity. It is an initial load screen.

References

Isolator Static-Deflection Screen — tool.io

Similar or alternative tools

Floor Footfall Frequency Screen
A forcing frequency near a floor mode can justify a closer footfall assessment. This tool checks proximity against a caller-chosen frequency tolerance.
Ceiling Hanger Layout Screen
A rectangular ceiling hanger grid estimate connects spacing with hanger count and total declared capacity. It is an initial load screen.