powerlaw_linear_contact — DRIVE `tacdome` op

• Data kinds: text × scalar × scalar → table

• Call: import fullseye as fs; fs.ledger.powerlaw_linear_contact(shape: 'str', size: 'float', Estar: 'float', p: 'float | None' = None) -> 'dict' (to call the implementation directly, import tacdome; tacdome.powerlaw_linear_contact(shape: 'str', size: 'float', Estar: 'float', p: 'float | None' = None) -> 'dict'; from the registry, opsdrive.get("powerlaw_linear_contact"))

Usage

Linear solution for pressing a power-law profile f(r) = c·rᵖ with a flat plate (Eqs. 1 and 5): F_L = C·δⁿ, a_L = D·δ^{1/p}, n = 1 + 1/p.

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

shape: "sphere"(size = 半径 R、放物線 c = 1/(2R)、C = (4/3)E*√R、D = √R = Hertz)/ "cone"(size = 側面の傾き tanα = 高さ/底の半径、C = 2E*/(π tanα)、D = 2/(π tanα))/ "punch"(平頭の円柱、size = 半径 a0、n = 1、C = 2E*a0、a_L = a0 で一定)/ "power"(size = c、p が要る)。MDR の 1D 断面は g(x) = κ_p c |x|ᵖ で、C = 2E*·p/(p+1)·(κ_p c)^{−1/p}、D = (κ_p c)^{−1/p}。

返り: shape・p・n・c・kappa_p・g_coef(= κ_p c、punch は 0)・C・D・Estar・size。Raises ValueError: 知らない shape(綴り違い)、size・E* ≤ 0、power で p が無い / 範囲外、power 以外で p を渡した。

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_tacdome_large_deformation — py -3.11 examples/poc_tacdome_large_deformation.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 (`tacdome`)

largedef_correction · largedef_radius_ratio · largedef_universal_correction · large_deformation_contact · large_deformation_inverse · mdr_spring_bed · neohookean_cylinder_exact · hertz_small_strain_error

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

powerlaw_linear_contact — DRIVE tacdome op