Source: https://guthlabs.ai/docs/instruments/vibration-isolation-transmissibility-calculator/implementation/

instrument implementation / implementation-contract

# Vibration Isolation Transmissibility Calculator implementation

A source-bound implementation contract for Vibration Isolation Transmissibility Calculator; deployment and executable qualification remain separate.

Status: **VERIFIED_WITH_ERRATA**Lifecycle: **implementation-contract**

## Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

**Record owner**: Guth Instruments

**Lifecycle**: verified-with-binding-errata

**Evidence ID**: t6-116

**Effect**: Computation or source lookup only

## Input and validation requirements

The specification leaves frequency units ambiguous, causing substantially different transmissibility results, and it does not explicitly define rejection behavior for zero stiffness or the exact r=sqrt(2) boundary.

## Required corrections

````
[
  {
    "vector": 4,
    "field": "natural_frequency/r/TR/isolation",
    "wrong": "1 Hz / 1.732 / 0.5 / 50%",
    "correct": "3.1623 Hz / 0.5477 / 1.4286 / -42.9% for the GIVEN m=50 kg",
    "cause": "vector designed for m=500 kg (to hit r=√3) but shipped m=50; working asserts sqrt(19739.2/50)/(2π)=1 Hz which is arithmetically false (=3.1623)"
  }
]
````

## Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

````
{
  "inputs": {
    "disturbing_frequency_hz": 2,
    "isolator_stiffness_N_per_m": 3947.84176,
    "mass_kg": 100,
    "damping_ratio": 0.05
  },
  "expected_outputs": {
    "natural_frequency_hz": 1,
    "frequency_ratio_r": 2,
    "TR": 0.339181733,
    "isolation_percent": 66.081827,
    "required_static_deflection_m": "not defined by the supplied specification"
  },
  "working": "f_n=(1/(2*pi))*sqrt(k/m)=(1/(2*pi))*sqrt(3947.841760/100)=(1/(2*pi))*6.283185307=1 Hz. r=f/f_n=2/1=2. 2*zeta*r=2*0.05*2=0.2. Numerator=sqrt(1+0.2^2)=sqrt(1.04)=1.019803903. Denominator=sqrt((1-2^2)^2+0.2^2)=sqrt(9+0.04)=sqrt(9.04)=3.006659276. TR=1.019803903/3.006659276=sqrt(1.04/9.04)=0.339181733. Since r>sqrt(2), isolation=(1-0.339181733)*100=66.081827%."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/vibration-isolation-transmissibility-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/vibration-isolation-transmissibility-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/vibration-isolation-transmissibility-calculator/qualification/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json`

- `evidence-tranche6/tranche6-results.json`

- `tranche errata record`