hertz_surface_uz — DRIVE tacsim op

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

• Call: import fullseye as fs; fs.ledger.hertz_surface_uz(r, a: 'float', delta: 'float', R: 'float') -> 'np.ndarray' (to call the implementation directly, import tacsim; tacsim.hertz_surface_uz(r, a: 'float', delta: 'float', R: 'float') -> 'np.ndarray'; from the registry, opsdrive.get("hertz_surface_uz"))

Usage

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

Hertz 球接触の半空間表面の法線変位 ū_z(r)(沈む量 ≥ 0、r と同じ形の配列)。

内側 r ≤ a: δ − r²/(2R)。外側: (1/πR)[(2a² − r²) arcsin(a/r) + a r √(1 − a²/r²)] (Johnson 式 3.42a)。r = a で δ/2 に連続。

Raises `ValueError`: a, δ, R ≤ 0、a² と Rδ が 1 % 以上食い違う(Hertz でない組)。

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_tacsim_elastic_membrane — py -3.11 examples/poc_tacsim_elastic_membrane.py

• poc_tactile_dipole_torque — py -3.11 examples/poc_tactile_dipole_torque.py

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

world_camera · lidar_scan · relative_motion · foe_from_motion · flow_from_depth_motion · ttc_truth · world_materials · mesh_signed_volume

Same category (tacsim)

combined_modulus · hertz_sphere · hertz_force · hertz_cylinder · hertz_pressure · membrane_indent_sphere · membrane_indent_shape · membrane_lights

*Provenance: tacsim.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.