Tutorial__10 - Tutorial 10 The motion of a violin string...

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Unformatted text preview: Tutorial 10 The motion of a violin string under tension is governed by the wave equation, including a damping force term: PDE: where and are known constants. BCs: and i.e. fixed ends ICs: and Where is a specified velocity. i.e. the vibrations are started by giving the string an initial velocity, while it is in the equilibrium position. Suppose that , where and are known constants. , velocity at Position at Solve for by separation of variables. To simplify the solution for damping force is small (i.e. assume ). , assume that the ...
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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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