teal papers / BarTide collection

Vibration exposure

TR-PINK-F-178

MJ Physics Engineering | Bangel Language | MJos Operating System
Owned and operated by Michael Bangel | Clearwater, Florida

Updated collection edition: BarTide branding and navigation added September 26, 2026. The original paper text below retains its historical scope. Inclusion does not claim its research is implemented in BarTide.

Terminology revised · September 12 evidence

TEAL LIBRARY RERUN  |  12 SEPTEMBER 2026  |  Michael Patrick Bangel
199
TEAL-RERUN-02-B008 | OPEN_IMPLEMENTATION_EXPECTED_REFUSAL
TR-PINK-F-178 / Vibration exposure
IF
Invoke F-178 (Vibration exposure) only with the source-defined inputs, scope, evidence and result dimension
(acceleration_squared_time). A complete executable parameter schema has not been bound to this ID.
HOW
Preserve the source relation exactly: D_vib = integral(a_rms(t)^2,t0,t1). Provide the sampled-signal input
contract, domain/boundary, timestamps, quadrature/interpolation and error/missing-data policy. Retain each
formula's units and source integrand.
THEN
Keep this formula OPEN. The current paper host rejects this ID with PAPER_PROFILE_UNIMPLEMENTED. The
Teal assertion gate holds when method/proof is false. This expected refusal is not a completed
implementation.
CURRENT EVIDENCE
Fresh refusal and hold evidence is recorded individually; no scalar result, transition, permit or physical effect
is fabricated.
SOURCE DIMENSION
acceleration_squared_time
REMAINING REQUIREMENT
Provide the sampled-signal input contract, domain/boundary, timestamps, quadrature/interpolation and error/missing-data policy.
Retain each formula's units and source integrand.
SOURCE REFERENCES
D018 pp. 5,11
Evidence: evidence/rerun/pending/F-178.json

Original references: F-178