{
  "schema": "aura.public.inverse-case.v1",
  "case_id": "AURA-INV-CONE-80R-360A-30D-001",
  "version": "1.0",
  "published": "2026-08-02",
  "status": "SOLVED_SCREENING_CASE",
  "decision_authority": "SCREENING_ONLY",
  "inputs": {
    "required_radial_load_N": 80,
    "required_axial_load_N": 360,
    "shaft_diameter_mm": 30,
    "shaft_diameter_locked": true,
    "support_architecture": "opposed_conical_pair",
    "ambient_pressure_bar_absolute": 1.0,
    "downstream_operating_speed_rpm": 20000,
    "speed_used_in_static_ranking": false
  },
  "constraints": {
    "Er_req_max": 0.7,
    "Ez_req_max": 0.7,
    "pressure_basis": "absolute",
    "axial_projection": "K_machine_axial = K_film_normal * sin(alpha)^2"
  },
  "search": {
    "combinations_searched": 4032,
    "invalid_states": 630,
    "feasible_states": 399,
    "fallback_stage_2_used": false,
    "fallback_stage_3_used": false
  },
  "candidates": [
    {
      "label": "balanced_margin",
      "alpha_deg": 60,
      "length_mm": 32.0,
      "clearance_um": 20,
      "supply_pressure_bar_absolute": 5.0,
      "shaft_radius_mm": 15.0,
      "outer_radius_mm": 70.4256,
      "orifice_count": 12,
      "feed_rows": 2,
      "orifice_diameter_mm": 0.5,
      "radial_stiffness_N_per_um": 10.3848,
      "machine_axial_stiffness_N_per_um": 65.1679,
      "radial_capacity_N": 145.3871,
      "axial_capacity_N": 912.3510,
      "Er_req": 0.385179,
      "Ez_req": 0.276209,
      "flow_m3_per_h": 2.7214,
      "minimum_screening_margin": 1.81734
    },
    {
      "label": "compact_envelope",
      "alpha_deg": 50,
      "length_mm": 22.4,
      "clearance_um": 20,
      "supply_pressure_bar_absolute": 8.0,
      "shaft_radius_mm": 15.0,
      "outer_radius_mm": 41.6953,
      "orifice_count": 12,
      "feed_rows": 2,
      "orifice_diameter_mm": 0.5,
      "radial_stiffness_N_per_um": 9.5021,
      "machine_axial_stiffness_N_per_um": 30.6206,
      "radial_capacity_N": 133.0299,
      "axial_capacity_N": 428.6882,
      "Er_req": 0.420958,
      "Ez_req": 0.587840,
      "flow_m3_per_h": 4.3542,
      "minimum_screening_margin": 1.19080
    },
    {
      "label": "lower_pressure",
      "alpha_deg": 60,
      "length_mm": 48.0,
      "clearance_um": 30,
      "supply_pressure_bar_absolute": 3.0,
      "shaft_radius_mm": 15.0,
      "outer_radius_mm": 98.1384,
      "orifice_count": 12,
      "feed_rows": 2,
      "orifice_diameter_mm": 0.5,
      "radial_stiffness_N_per_um": 6.4791,
      "machine_axial_stiffness_N_per_um": 60.5368,
      "radial_capacity_N": 136.0607,
      "axial_capacity_N": 1271.2737,
      "Er_req": 0.411581,
      "Ez_req": 0.198226,
      "flow_m3_per_h": 2.4493,
      "minimum_screening_margin": 1.70076
    }
  ],
  "limitations": [
    "static inverse-design screening only",
    "frequency-dependent bearing coefficients not established for this case",
    "manufacturing tolerance and uncertainty propagation not included",
    "complete rotor model and stability assessment not included",
    "case-level experimental correlation not included"
  ],
  "solver_branch": "AURA_Conical_Inverse_Fix_v2_2"
}