bearing op• Datenarten: keine → table (ein Operator, der allein durch seine Argumente bestimmt ist — er nimmt kein Bild und keine Daten entgegen)
• Aufruf: import fullseye as fs; fs.ledger.bearing_defect_frequencies(rpm=1800.0, n_elements=9, element_diameter=8.0, pitch_diameter=40.0, contact_angle_deg=0.0) (die Implementierung direkt: import acoustics; acoustics.bearing_defect_frequencies(rpm=1800.0, n_elements=9, element_diameter=8.0, pitch_diameter=40.0, contact_angle_deg=0.0); aus dem Register: opsacoustics.get("bearing_defect_frequencies"))
Die vier charakteristischen Frequenzen eines Wälzlagers aus der Geometrie.
> Die ausführliche Beschreibung unten ist der Originaltext — Zusammenfassung und Überschriften sind übersetzt.
Derived, not tabulated. Under pure rolling the cage advances at half the sum of the race surface speeds, which with r = d/D cos(alpha) gives, per shaft revolution rate f_r = rpm/60:
• FTF (cage / fundamental train) = f_r (1 - r) / 2
• BPFO (ball pass, outer race) = N f_r (1 - r) / 2 = N * FTF
• BPFI (ball pass, inner race) = N f_r (1 + r) / 2
• BSF (ball spin) = f_r (1 - r^2) D / (2 d)
Two exact identities fall out and are asserted in the tests, because they catch a transposed d and D immediately: BPFO + BPFI = N f_r exactly, and BPFO = N * FTF exactly. Measured for the defaults (1800 rpm, 9 elements, d = 8, D = 40, alpha = 0): ratio = 0.200000, f_r = 30.000000, FTF = 12.000000, BPFO = 108.000000, BPFI = 162.000000, BSF = 72.000000 Hz, with BPFO + BPFI - 9 f_r = 0.000e+00 and BPFO - 9 FTF = 0.000e+00 — exactly zero in float64, not merely small.
Returns a dict with shaft_hz, ftf_hz, bpfo_hz, bpfi_hz, bsf_hz, ratio (d/D cos alpha), and the inputs echoed back. Also bsf_hz_2x: a rolling element normally strikes *both* races per spin, so a spall on the element itself is usually seen at 2 * BSF, and reporting only BSF is the classic way to miss it.
These are the no-slip kinematic rates. Real bearings slip by roughly a percent, so an observed line within about 1 % of one of these is a match and an exact match is a coincidence; that tolerance is the caller's to apply.
Raises ValueError: non-real / string / bool scalars, rpm <= 0, n_elements not an int >= 2, non-positive diameters, an element_diameter >= pitch_diameter (geometrically impossible — the rolling elements would not fit inside the pitch circle, and the usual cause is the two arguments being swapped, which otherwise returns a negative FTF and a plausible-looking BPFI), and |contact_angle_deg| >= 90.
• Leitfaden zur Familie acoustic_condition_monitoring
• Katalog der Beispieldaten (Download-URLs / Lizenzen) — 2-D nutzt skimage.data (BSD/Public Domain) plus synthetische Bilder, 3-D nennt Download-URLs echter Datenquellen (Stanford, PDS, …).
• Herkunft und Literatur der Operatoren — die Quellen der Forschung/Verfahren, auf denen diese Operatorfamilie beruht.
• Der kanonische Algorithmus (Autor, Jahr) und seine Anwendungen stehen im Familienleitfaden oben.
• acoustic_condition_monitoring — py -3.11 examples/acoustic_condition_monitoring.py
• poc_bearing_diagnosis — py -3.11 examples/poc_bearing_diagnosis.py
• poc_machine_condition_fusion — py -3.11 examples/poc_machine_condition_fusion.py
table als Eingabe)bearing)envelope_spectrum · spectral_kurtosis · cepstrum
*Provenance: acoustics.py — ACOUSTICS Operator-Registry. Diese Notiz wird von tools/opdocs.py md erzeugt (nicht von Hand bearbeiten).*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.