fullseye

bearing_defect_frequencies — ACOUSTICS bearing op

• データ種: なし → table(引数だけで決まる op —— 画像やデータの入力を取らない)
• 呼び出し: 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) (実装を直接呼ぶなら 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)、台帳から引くなら opsacoustics.get("bearing_defect_frequencies"))

使い方

The four characteristic rates of a rolling-element bearing, from geometry.

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.

詳しい使い方ガイド

• acoustic_condition_monitoring ファミリ ガイド

参考(サンプルデータ・文献)

• サンプルデータ カタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。
• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。
• アルゴリズムの正典(著者・年)と用途は上記ファミリ使い方ガイドに記載。

実行できる例(この op を実際に呼ぶ検証済みサンプル)

• 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

型が繋がる次の op(table を入力に取れる)

istft

同カテゴリ(bearing)

envelope_spectrum · spectral_kurtosis · cepstrum

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Provenance: acoustics.py — ACOUSTICS operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.

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