{ "model": "Q4 Mindlin-Reissner FEM; sparse eigensolve; coupled Hunt-Crossley/Hertz impact", "config": { "width": 0.03, "height": 0.03, "thickness": 0.001, "density": 2700.0, "young": 68900000000.0, "poisson": 0.33, "material_q": 1400.0, "shear_correction": 0.8333333333333334, "mesh_x": 48, "mesh_y": 48, "hole_diameter": 0.0008, "hole_edge_offset": 0.0015, "thread_length": 0.2, "thread_dashpot": 0.00075, "hit_x": 0.0, "hit_y": 0.0, "hammer_mass": 0.01, "hammer_tip_radius": 0.002, "hammer_speed": 0.45, "hammer_young": 200000000000.0, "hammer_poisson": 0.29, "restitution": 0.62, "mic_distance": 0.35, "air_density": 1.204, "sound_speed": 343.0, "sample_rate": 96000, "duration": 4.0, "modes": 72, "normalize_dbfs": -1.0 }, "derived": { "plate_mass_kg": 0.002428642831973649, "fem_degrees_of_freedom": 7203, "retained_mode_count": 18, "low_frequency_momentum_modes": 3, "contact_duration_s": 0.00014386841458983345, "impact_impulse_Ns": 0.0016141368274278794, "peak_contact_force_N": 24.17614265214583, "hammer_exit_velocity_m_s_positive_into_plate": 0.288586188656118, "plate_contact_point_exit_velocity_m_s_positive_into_plate": 0.43849323681201396, "relative_separation_velocity_m_s": -0.14990704815589595, "effective_relative_restitution": 0.3331267736797688, "critical_frequency_hz": 12120.88938013311, "unnormalized_peak_pressure_pa_approx": 5.7305788699122786e-08 }, "modes": [ { "mode": 1, "frequency_hz": 3565.9758260120643, "q_total": 411.3543618249471, "hit_participation": 1.0268782804049045e-06, "support_participation": 1.2867759580743019e-06, "radiation_participation": 2.614849102625409e-13 }, { "mode": 2, "frequency_hz": 5623.617834128409, "q_total": 344.4362103366806, "hit_participation": -7.018066236974367e-06, "support_participation": -39.534772651831496, "radiation_participation": -1.396742909087222e-09 }, { "mode": 3, "frequency_hz": 6944.342983431703, "q_total": 321.53676453787256, "hit_participation": 34.565652743070316, "support_participation": -2.7622622177857226, "radiation_participation": -6.402537341749679e-11 }, { "mode": 4, "frequency_hz": 9458.457072776113, "q_total": 284.88370453805516, "hit_participation": 3.080391565004549e-07, "support_participation": 1.8970949912228652, "radiation_participation": 2.3691749283298548e-11 }, { "mode": 5, "frequency_hz": 9458.457298368265, "q_total": 283.2943075035011, "hit_participation": 1.6166427735750155e-06, "support_participation": 39.5487522912875, "radiation_participation": 4.9391636123392e-10 }, { "mode": 6, "frequency_hz": 17027.374310417825, "q_total": 223.3780279795689, "hit_participation": 33.43011855856327, "support_participation": -39.85611266968268, "radiation_participation": -1.5357798965642447e-10 }, { "mode": 7, "frequency_hz": 17370.396397743538, "q_total": 222.04499806690183, "hit_participation": 1.0806337428699248e-05, "support_participation": -7.76508029598892, "radiation_participation": -2.8728976302906087e-11 }, { "mode": 8, "frequency_hz": 17370.396557451277, "q_total": 221.9727947638167, "hit_participation": -6.7329002431021205e-06, "support_participation": 16.537020743556848, "radiation_participation": 6.121617536560426e-11 }, { "mode": 9, "frequency_hz": 19072.987303458805, "q_total": 213.46881809675375, "hit_participation": -1.056737111764634e-06, "support_participation": 9.187822205818643e-07, "radiation_participation": -2.8530940088776387e-15 }, { "mode": 10, "frequency_hz": 21389.387771162706, "q_total": 203.30535587463592, "hit_participation": 8.885582278320107e-08, "support_participation": -1.4686566619710604e-07, "radiation_participation": -1.6815848640308086e-14 }, { "mode": 11, "frequency_hz": 28279.99201936713, "q_total": 180.2195344754748, "hit_participation": -4.3930578266748584e-08, "support_participation": 3.5648654538286664, "radiation_participation": 4.979957481340857e-12 }, { "mode": 12, "frequency_hz": 28279.992083537196, "q_total": 180.00957025970527, "hit_participation": -6.138636558662723e-07, "support_participation": 39.320129191363534, "radiation_participation": 5.492135301078861e-11 }, { "mode": 13, "frequency_hz": 32948.769564021815, "q_total": 168.54104680355613, "hit_participation": 4.864498612168764e-07, "support_participation": 14.024966906614324, "radiation_participation": 1.4452115541064647e-11 }, { "mode": 14, "frequency_hz": 34471.42122413984, "q_total": 165.13882431609167, "hit_participation": 42.91035723216589, "support_participation": 32.8533844153399, "radiation_participation": 3.0893313438762836e-11 }, { "mode": 15, "frequency_hz": 36386.13727421851, "q_total": 161.32726592436384, "hit_participation": 1.1054353397250513e-06, "support_participation": 13.230595399227422, "radiation_participation": 1.1171159698715872e-11 }, { "mode": 16, "frequency_hz": 36386.137340431, "q_total": 161.22674843297202, "hit_participation": 1.7379876844932346e-06, "support_participation": 36.784011754607235, "radiation_participation": 3.1053227883933365e-11 }, { "mode": 17, "frequency_hz": 40487.36667835226, "q_total": 153.87450395403786, "hit_participation": 5.3299006397064166e-08, "support_participation": 1.9888011839050177e-07, "radiation_participation": -4.436650157500777e-15 }, { "mode": 18, "frequency_hz": 43378.88751280824, "q_total": 149.09142658088695, "hit_participation": 6.270011871410755e-07, "support_participation": 44.68460671685151, "radiation_participation": 2.652834471678451e-11 } ] }