Resonance in a driven string
A taut string of length L and mass m has its right end fixed
while the left end is driven and moves harmonically:
y(t,0)
= A cos Ωt,
y(t,L) = 0.
The simulation computes the steady state solution and can be used to
check how resonance happens when the driving frequancy is (nearly) one
of the normal frequencies, i.e. , one of the frequencies of the standing
waves that may appear in the string when both ends are fixed.
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The unit length is L and the unit time L/v, where v
= √(TL/m) is the phase velocity of transverse waves
propagating along the string, whete the tension is T.
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You can select below the dimensionless frequency of the driving force, ω
≡ Ω L/π v, and its amplitude A,
as well as the number of discretization points N and the time
interval between animation frames Δt.
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To get information on an element, put over it the mouse pointer to see
the corresponding tooltip.