{ "model": "free-edge Kirchhoff-Love Rayleigh-Ritz plate; Hertz impact; compact acoustic radiation", "plate": { "width": 0.03, "height": 0.03, "thickness": 0.001, "density": 2700.0, "young": 68900000000.0, "poisson": 0.33, "material_q": 1400.0, "hole_diameter": 0.0008, "hole_edge_offset": 0.0015 }, "hammer": { "mass": 0.01, "tip_radius": 0.002, "speed": 0.45, "young": 200000000000.0, "poisson": 0.29, "restitution": 0.62 }, "suspension": { "thread_length": 0.2, "dashpot": 0.00075 }, "render": { "sample_rate": 96000, "duration": 4.0, "modes": 72, "basis_order": 8, "quadrature_order": 30, "hit_x": 0.0, "hit_y": 0.0, "mic_distance": 0.35, "air_density": 1.204, "sound_speed": 343.0, "normalize_dbfs": -1.0 }, "derived": { "plate_mass_kg": 0.002428642831973649, "bending_rigidity_Nm": 6.443347173904911, "contact_duration_s": 9.437140797643829e-05, "impact_impulse_Ns": 0.007290000000000001, "estimated_peak_contact_force_N": 138.83085722430667, "critical_frequency_hz": 12120.88938013311, "unnormalized_peak_pressure_pa_approx": 0.022050006808515085, "retained_mode_count": 18 }, "modes": [ { "mode": 1, "frequency_hz": 3604.9693185188185, "q_total": 409.77652879524476, "hit_participation": -1.7222218139786974e-11, "radiation_participation": 5.581137548809426e-17 }, { "mode": 2, "frequency_hz": 5266.636501309742, "q_total": 352.5847810082564, "hit_participation": 0.03658700016993266, "radiation_participation": 1.9930003103148852e-05 }, { "mode": 3, "frequency_hz": 6668.264792483605, "q_total": 326.5870538267108, "hit_participation": -34.68066328304039, "radiation_participation": 1.411095213048475e-06 }, { "mode": 4, "frequency_hz": 9366.248780434324, "q_total": 286.00050444298705, "hit_participation": 4.6314924846925354e-11, "radiation_participation": 1.7427995390247446e-16 }, { "mode": 5, "frequency_hz": 9376.385569557819, "q_total": 284.2217185265718, "hit_participation": 0.03695144706033362, "radiation_participation": 2.011098059434318e-05 }, { "mode": 6, "frequency_hz": 16654.1480240132, "q_total": 226.02753560152746, "hit_participation": -1.8074131247639446e-10, "radiation_participation": -2.590747525443318e-15 }, { "mode": 7, "frequency_hz": 16657.698035959937, "q_total": 225.8958597175366, "hit_participation": -0.51288280745123, "radiation_participation": -8.774436508815421e-06 }, { "mode": 8, "frequency_hz": 17186.803715953065, "q_total": 222.4917353819469, "hit_participation": -33.812028123825804, "radiation_participation": 2.040754706277647e-05 }, { "mode": 9, "frequency_hz": 18643.94941216507, "q_total": 215.53505034551338, "hit_participation": 4.5685499906562445e-12, "radiation_participation": 2.5283745782252536e-18 }, { "mode": 10, "frequency_hz": 21041.063329621906, "q_total": 204.7361742340462, "hit_participation": 2.0006111909413135e-12, "radiation_participation": 2.711339834266098e-19 }, { "mode": 11, "frequency_hz": 28503.812105513523, "q_total": 179.60325990711405, "hit_participation": -2.7458511148202387e-12, "radiation_participation": 7.435773878593382e-17 }, { "mode": 12, "frequency_hz": 28535.646237367713, "q_total": 179.2943367116017, "hit_participation": -0.2909508538856467, "radiation_participation": 2.0390967781615517e-05 }, { "mode": 13, "frequency_hz": 31872.558631649914, "q_total": 171.02057766206494, "hit_participation": 0.2490295909015145, "radiation_participation": -6.465414110299166e-06 }, { "mode": 14, "frequency_hz": 33550.15544074365, "q_total": 167.11943322508685, "hit_participation": 42.18760398817165, "radiation_participation": 1.637847286175347e-05 }, { "mode": 15, "frequency_hz": 35803.62635975656, "q_total": 162.4976794263023, "hit_participation": 1.1620239736165928e-11, "radiation_participation": 6.053997358921389e-17 }, { "mode": 16, "frequency_hz": 35837.893771465744, "q_total": 162.3025058567845, "hit_participation": 0.5157015685804621, "radiation_participation": 1.9077503254014464e-05 }, { "mode": 17, "frequency_hz": 41366.48111026191, "q_total": 152.4096191200859, "hit_participation": -2.1750879010967896e-12, "radiation_participation": -1.3688052427629493e-18 }, { "mode": 18, "frequency_hz": 43840.374132755, "q_total": 148.38406652925917, "hit_participation": 0.39965784279916045, "radiation_participation": 2.3006420269506197e-05 } ] }