Homework_6_Solutions

Homework_6_Solutions - 1 Ian Cassidy CE/ME 210 HW 6...

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Unformatted text preview: 1 Ian Cassidy CE/ME 210 HW # 6 Submitted: 10/15/08 Part 1 ) The first 30 natural frequencies for a string with variable tension. Mode # Natural Freq. (Hz) 1 2.677824963 2 5.087029261 3 7.956658733 4 10.29346501 5 13.09171804 6 15.62936414 7 18.16234964 8 20.96442404 9 23.30033504 10 26.17073218 11 28.58237079 12 31.26106626 13 33.94101492 14 36.35330105 15 39.22773531 16 41.56361152 17 44.3784557 18 46.90640749 19 49.46772572 20 52.27036963 21 54.6213534 22 57.54980928 23 59.93945293 24 62.78280144 25 65.62802029 26 70.16228555 27 74.89737706 28 79.85618544 29 85.1093884 30 90.52534013 2 Part 2 ) The first 5 eigenfunctions for a string with variable tension. 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.5 1 1.5 2 2.5 length of string mode shape amplitude Mode Shape (eigenfunction) # 1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-2.5-2-1.5-1-0.5 0.5 1 1.5 2 length of string mode shape amplitude Mode Shape (eigenfunction) # 2 3 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-2.5-2-1.5-1-0.5 0.5 1 1.5 2 2.5 length of string...
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This note was uploaded on 10/15/2009 for the course ME 210 taught by Professor Dowell during the Fall '08 term at Duke.

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Homework_6_Solutions - 1 Ian Cassidy CE/ME 210 HW 6...

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