example_III_1_06

example_III_1_06 - 4 3 $ 9.5293 5 4 $ 12.6453 6 5 $ 15.7713...

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Example 6 - free response of a rod with end mass Find the general form of the free vibration solution of a fixed/mass end homogeneous rod having an elastic modulus E, cross-sectional area A and mass/volume ! .
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Example 6 - (continued) Numerical Results For " = ! AL/M = 1: j Guess # j L 1 $ /4 0.8603 2 $ 3.4256 3 2 $ 6.4373
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Unformatted text preview: 4 3 $ 9.5293 5 4 $ 12.6453 6 5 $ 15.7713 7 6 $ 18.9024 8 7 $ 22.0365 9 8 $ 25.1724 10 9 $ 28.3096 For " = ! AL/M = 0.0001: j Guess # j L 1 $ /4 0.0100 2 $ 3.1416 3 2 $ 6.2832 4 3 $ 9.4248 5 4 $ 12.5664 6 5 $ 15.7080 7 6 $ 18.8496 8 7 $ 21.9912 9 8 $ 25.1327 10 9 $ 28.2743...
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This document was uploaded on 12/23/2011.

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example_III_1_06 - 4 3 $ 9.5293 5 4 $ 12.6453 6 5 $ 15.7713...

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