Berekening dimensionering Tubo Robot - 06.07.2019 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 tube diameter inner tube diameter attack-pitch Olson-constant 1/2 lambda resonator length 48 130.81 Hz 1627.5 364.89 60 / 50 65.2 1.1172 1.278 49 138.59 Hz 1581 354.46 60 / 50 66.2 1.1169 1.204 50 146.83 Hz 1536 344.37 60 / 50 67.2 1.1169 1.134 51 155.56 Hz 1491 334.28 60 / 50 68.2 1.115 1.068 52 164.81 Hz 1449 324.87 60 / 50 69.2 1.1157 1.006 53 174.61 Hz 1407 315.45 60 / 50 70.2 1.1145 .947 54 185 Hz 1298 291.01 55 / 45 71.2 1.1045 .892 55 196 Hz 1261 282.72 55 / 45 72.2 1.1044 .84 56 207.65 Hz 1224.5 274.53 55 / 45 73.2 1.1033 .791 57 220 Hz 1190 266.8 55 / 45 74.2 1.104 .744 58 233.08 Hz 1156 259.18 55 / 45 75.2 1.1037 .7 59 246.94 Hz 1123 251.78 55 / 45 76.2 1.1036 .659 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 .59 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 .39 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 .18 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 .14 86 1174.66 Hz 369 82.73 30 / 20 103.2 1.1171 .131