hertz_sphere — DRIVE `tacsim` op

• Data kinds: scalar × scalar × scalar → table

• Call: import fullseye as fs; fs.ledger.hertz_sphere(F: 'float', R: 'float', Estar: 'float') -> 'dict' (to call the implementation directly, import tacsim; tacsim.hertz_sphere(F: 'float', R: 'float', Estar: 'float') -> 'dict'; from the registry, opsdrive.get("hertz_sphere"))

Usage

Closed form of Hertz contact for a rigid sphere (radius R) pressed with load F into an elastic half-space (combined modulus E*) (Johnson 1985 §3).

> The detailed description below is the original text — the summary and the headings are translated.

返り: a(接触半径 = (3FR/4E*)^{1/3})、delta(押し込み = a²/R)、p0(最大圧 = 3F/(2πa²))、pm(平均圧 = F/(πa²) = (2/3)p0)と入力 F・R・Estar。Raises ValueError: いずれかが ≤ 0 または非有限。

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_knife_tactile_toughness — py -3.11 examples/poc_knife_tactile_toughness.py

• poc_peg_insertion_tactile — py -3.11 examples/poc_peg_insertion_tactile.py

• poc_tacdome_large_deformation — py -3.11 examples/poc_tacdome_large_deformation.py

• poc_tacsim_elastic_membrane — py -3.11 examples/poc_tacsim_elastic_membrane.py

• poc_tacsim_marker_shear — py -3.11 examples/poc_tacsim_marker_shear.py

• 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 (`tacsim`)

combined_modulus · hertz_force · hertz_cylinder · hertz_surface_uz · 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).*

hertz_sphere — DRIVE tacsim op