PP-156 / Purple / Review draft

Vibration exposure / Recovered energy ceiling

Terminology revised · evidence inherited

PURPLE PAGES Combined 300 Pages. Source pages 2471-2471. Nomenclature updated; historical equations, evidence limits and unresolved relationships retained. Paper notation is a reference profile; the repository reports unresolved Purple/Yellow relationships, so this is not an approved bangel 1.0 program.

PP-156
Vibration exposure / Recovered energy ceiling
MJ-PBMEF-DAY0-R11-COLOR-PAPERS-180K-FINAL
Syntax expression for BP-ALG-156
module MJ.PBMEF.Blue.BP-ALG-156 {
reference F-178, F-179;
expression "F-178 = D_vib = integral(a_rms(t)^2,t0,t1) ; F-179 = E_recovered <= eta_recovery * E_available_loss";
constraint unknown != zero;
verify MK.physics, JO.proof;
permit MJ.required;
}
EXACT MATH OR TYPED IDENTITY
F-178: D_vib = integral(a_rms(t)^2,t0,t1); F-179: E_recovered <= eta_recovery * E_available_loss
CODE -> MATH -> IMAGE -> PROCESS FLOW
Syntax is parsed as a reference candidate; formula or identity resolves to JP; MK classifies physics applicability; JO verifies; visual reference YP-094 presents the
normalized blueprint; Teal TP-156 expresses IF/HOW/THEN; Brown BR-156 expresses the R lifecycle; MJ remains the permit boundary.
RELATED WHITE/PINK SOURCES
FORMULA-REGISTER.json (F-178, F-179); Pink Paper formula volumes; relevant family/product White Papers; Blue Page register entry BP-ALG-156.
Michael Patrick Bangel | MJ Physics Engineering | internal pre-passkey reference | no physical, legal, financial, regulatory, or IP-right approval
156

Publication is pending owner review. White papers are excluded.