torsion_stick_field — DRIVE tactorque op

• Data kinds: matrix × matrix × scalar × scalar × table × scalar → table

• Call: import fullseye as fs; fs.ledger.torsion_stick_field(X, Y, a: 'float', Mz: 'float', kern: 'dict', G: 'float') -> 'dict' (to call the implementation directly, import tactorque; tactorque.torsion_stick_field(X, Y, a: 'float', Mz: 'float', kern: 'dict', G: 'float') -> 'dict'; from the registry, opsdrive.get("torsion_stick_field"))

Usage

> This operator's description has not been translated yet. The original text follows as it is.

無滑りねじり(Reissner–Sagoci、Johnson 1985 §3.9 相当、式番号は未確認 → 畳み込みで数値検証)の表面変位場: トラクション

q_θ = 3M_z r/(4πa³√(a²−r²)) を :func:tacslip.cerruti_kernel の核で畳んだ `ux・uy [m] と、閉形式 beta` = 3M_z/(16Ga³)、

円内の剛体回転 `ux_cf = −βy・uy_cf = βx(r < a)、トラクション qx・qy`。畳み込みが円内で一様な u_θ/r = β を返すことで β の式を

独立実装で検証する(−0.5 %、一様性 0.14 %、実測)。Lubkin 1951 の部分滑り(固着半径 c)は未実装(docstring 参照)。

Raises ValueError: G ≤ 0、a ≤ 0、X と Y の形が違う、核の格子が合わない。

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• poc_tactile_dipole_torque — py -3.11 examples/poc_tactile_dipole_torque.py

Ops the type connects to (they accept table as input)

course_layout · course_occupancy · course_contains · world_build · world_camera · world_move · lidar_scan · rss_longitudinal_same

Same category (tactorque)

punch_pressure · punch_surface_uz · hertz_pressure_shifted · ellipse_pressure_shifted · pressure_first_moment · boussinesq_kernel · boussinesq_surface_displacement · surface_divergence_closed_form


*Provenance: tactorque.py — DRIVE operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

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