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.
 Spring '10
 SerhiyYarusevych

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