Tutorial_9

Tutorial_9 - Tutorial 9 A steel guitar string has material...

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Unformatted text preview: Tutorial 9 A steel guitar string has material density, g = 7000 kG m 3 u , cross-sectional area, = 10 m 2 , length, = 80 cm , and is under a tensile force of = 17.5 N . The string is fixed at both ends. The center of the string is pulled up to = 4 mm and at time = 0 the string is released from rest. Numerically predict the displacement of the string, , , for 0 80 cm and 0 0.030 s , with a grid spacing of = 10 cm and = 0.001 s , by applying: (a) an explicit scheme, (b) a fully implicit scheme, and (c) a Crank-Nicolson scheme. Solution in Excel For all schemes BC fixed end: D13 = 0 copy down to D43 BC fixed end: L13 = 0 copy down to L43 IC position: E13 =2*$C$7/$C$6*E10*$C$2 copy over to H13, I13 =2*$C$7-2*$C$7/$C$6*I10*$C$2 copy over to L13 IC velocity: E14 =E13 copy over to K14 In Excel: Office Button c Excel Options c Formulas check the Enable Iterative Calculation option, set a high value for Maximum iterations and a low value for Maximum change. Once computations are complete, verify value for Maximum iterations and a low value for Maximum change....
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This note was uploaded on 09/16/2011 for the course ME 303 taught by Professor Serhiyyarusevych during the Spring '10 term at Waterloo.

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Tutorial_9 - Tutorial 9 A steel guitar string has material...

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