Berekening dimensionering Tubo Robot 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 Olson-konstante 60 261 Hz 1040 233.17 50 / 40 .5551013 61 277 Hz 1010 226.44 50 / 40 .5556324 62 293 Hz 980 219.72 50 / 40 .5533308 63 311 Hz 952 213.44 50 / 40 .554242 64 329 Hz 925 207.39 50 / 40 .5535342 65 349 Hz 898 201.33 50 / 40 .5534051 66 369 Hz 773 173.31 40 / 30 .5552293 67 391 Hz 751.5 168.49 40 / 30 .5560601 68 415 Hz 730 163.67 40 / 30 .5569047 69 440 Hz 709 158.96 40 / 30 .5569705 70 466 Hz 689 154.47 40 / 30 .5570721 71 493 Hz 668.5 149.88 40 / 30 .5548004 72 523 Hz 602.5 135.08 35 / 25 .5557595 73 554 Hz 585 131.16 35 / 25 .5549995 74 587 Hz 567 127.12 35 / 25 .5524275 75 622 Hz 551 123.53 35 / 25 .5527958 76 659 Hz 535 119.95 35 / 25 .552159 77 698 Hz 519 116.36 35 / 25 .5503783 78 739 Hz 466.5 104.59 30 / 20 .5616078 79 783 Hz 453.6 101.7 30 / 20 .5625915 80 830 Hz 440 98.65 30 / 20 .5611368 81 880 Hz 426.5 95.62 30 / 20 .5589926 82 932 Hz 414.5 92.93 30 / 20 .5591783 83 987 Hz 402 90.13 30 / 20 .5569993 84 1046 Hz 391.5 87.77 30 / 20 .5598614 85 1108 Hz 380 85.2 30 / 20 .5587175 86 1174 Hz 369 82.73 30 / 20 .5582209 87 1244 Hz 357 80.04 30 / 20 .5536587 88 1318 Hz 347.5 77.91 30 / 20 .5557895 89 1396 Hz 336 75.33 30 / 20 .5503631 90 1479 Hz 326.5 73.2 30 / 20 .5505793 91 1567 Hz 316.8 71.03 30 / 20 .5491926 92 1661 Hz 307.73 68.99 30 / 20 .5492811 93 1760 Hz 298.72 66.97 30 / 20 .5484368 94 1864 Hz 290.36 65.1 30 / 20 .5487882 95 1975 Hz 281.18 63.04 30 / 20 .5452821 96 2093 Hz 272.3 61.05 30 / 20 .5419383 97 2217 Hz 264.1 59.21 30 / 20 .5399926 98 2349 Hz 256.62 57.53 30 / 20 .5401934 99 2489 Hz 249.14 55.86 30 / 20 .539507 100 2637 Hz 238.9 53.56 30 / 20 .5255666 101 2793 Hz 234.22 52.51 30 / 20 .5350621 102 2959 Hz 227.28 50.96 30 / 20 .5337683 103 3135 Hz 219.96 49.32 30 / 20 .529676 104 3322 Hz 213.2 47.8 30 / 20 .527302 105 3520 Hz 206.7 46.34 30 / 20 .5251809 106 3729 Hz 199.62 44.75 30 / 20 .5189025 107 3951 Hz 194.08 43.51 30 / 20 .5197014 108 4186 Hz 188.34 42.23 30 / 20 .5185249