Berekening dimensionering Tubo Robot 07-06-2019 Diapason : 440 Hz Materiaal: aluminium buis 2699 kg/m3, Youngs modulus: 69GPa note = midi note number f = frequency of the fundamental l_eff = empiric exact length of the tube suspension point at distance from end outer/inner tube diameter attack-pitch Olson-constant 1/4 lambda resonators length for tubes 48-59 1/2 lambda resonator length for tubes 60-71 reflector for all higher tubes. 48 130.81 Hz 1627.5 364.89 60/50 65.2 1.1172 639 49 138.59 Hz 1581 354.46 60/50 66.2 1.1169 602 50 146.83 Hz 1536 344.37 60/50 67.2 1.1169 567 51 155.56 Hz 1491 334.28 60/50 68.2 1.115 534 52 164.81 Hz 1449 324.87 60/50 69.2 1.1157 503 53 174.61 Hz 1407 315.45 60/50 70.2 1.1145 474 54 185 Hz 1298 291.01 55/45 71.2 1.1045 446 55 196 Hz 1261 282.72 55/45 72.2 1.1044 420 56 207.65 Hz 1224.5 274.53 55/45 73.2 1.1033 395 57 220 Hz 1190 266.8 55/45 74.2 1.104 372 58 233.08 Hz 1156 259.18 55/45 75.2 1.1037 350 59 246.94 Hz 1123 251.78 55/45 76.2 1.1036 329 60 261.63 Hz 1040 233.17 50/40 77.2 1.1129 627 61 277.18 Hz 1010 226.44 50/40 78.2 1.112 590 62 293.66 Hz 980 219.72 50/40 79.2 1.1092 556 63 311.13 Hz 952 213.44 50/40 80.2 1.1089 523 64 329.63 Hz 925 207.39 50/40 81.2 1.1092 492 65 349.23 Hz 898 201.33 50/40 82.2 1.1075 462 66 369.99 Hz 773 173.31 40/30 83.2 1.1135 441 67 392 Hz 751.5 168.49 40/30 84.2 1.115 415 68 415.3 Hz 730 163.67 40/30 85.2 1.1146 390 69 440 Hz 709 158.96 40/30 86.2 1.1139 367 70 466.16 Hz 689 154.47 40/30 87.2 1.1145 345 71 493.88 Hz 668.5 149.88 40/30 88.2 1.1116 324 72 523.25 Hz 602.5 135.08 35/25 89.2 1.1121 309 73 554.37 Hz 585 131.16 35/25 90.2 1.1107 291 74 587.33 Hz 567 127.12 35/25 91.2 1.1055 273 75 622.25 Hz 551 123.53 35/25 92.2 1.106 257 76 659.26 Hz 535 119.95 35/25 93.2 1.1047 241 77 698.46 Hz 519 116.36 35/25 94.2 1.1015 227 78 739.99 Hz 466.5 104.59 30/20 95.2 1.1247 217 79 783.99 Hz 453.6 101.7 30/20 96.2 1.1266 204 80 830.61 Hz 440 98.65 30/20 97.2 1.1231 192 81 880 Hz 426.5 95.62 30/20 98.2 1.118 180 82 932.33 Hz 414.5 92.93 30/20 99.2 1.1187 169 83 987.77 Hz 402 90.13 30/20 100.2 1.1149 159 84 1046.5 Hz 391.5 87.77 30/20 101.2 1.1203 149 85 1108.73 Hz 380 85.2 30/20 102.2 1.1182 140 86 1174.66 Hz 369 82.73 30/20 103.2 1.1171 131 87 1244.51 Hz 357 80.04 30/20 104.2 1.1078 123 no resonator 88 1318.51 Hz 347.5 77.91 30/20 105.2 1.112 115 no resonator 89 1396.91 Hz 336 75.33 30/20 106.2 1.1014 108 no resonator 90 1479.98 Hz 326.5 73.2 30/20 107.2 1.1019 101 no resonator 91 1567.98 Hz 316.8 71.03 30/20 108.2 1.0991 94 no resonator 92 1661.22 Hz 307.73 68.99 30/20 109.2 1.0987 88 no resonator 93 1760 Hz 298.72 66.97 30/20 110.2 1.0969 82 no resonator 94 1864.66 Hz 290.36 65.1 30/20 111.2 1.098 77 no resonator