Vibration Isolation Efficiency⚠ unverified
Mechanical / Vibration Analysis · Compute the vibration isolation efficiency from a transmissibility value
Parameters
| Input | Symbol | Unit | Default | Description |
|---|---|---|---|---|
| TR | TR | — | 1.0 | Transmissibility ratio (dimensionless) |
| Output | Symbol | Unit | Description |
|---|---|---|---|
| result | efficiency | — | Isolation efficiency as a fraction between 0 and 1 (dimensionless), clamped to a lower bound of 0.0 |
The science & history
Understanding the Parameters
- $TR$ — from measurement or the SDOF transmissibility formula.
- Efficiency — e.g. $TR = 0.1$ → 90% isolation; $TR = 2$ → 0% (amplifying).
Derivation (Approaching a Proof)
If transmitted amplitude is $TR$ times the reference, the fractional attenuation is $1-TR$ when $TR<1$. The $\max(0,\cdot)$ clamps non-physical negative “efficiency” in the amplification region.
History
Percent isolation is a common vendor metric for mounts and isolators, derived from transmissibility.
Related Concepts: Transmissibility, Magnification Factor, Natural Frequency mass-spring
Notes: Registry calculator vibration-vibration-isolation-efficiency (unverified). Definitional
from $TR$; does not compute $TR$ from $\omega,\zeta$.