If a circular membrane with fixed boundary is subjected to

Chapter , Problem 11

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If a circular membrane with fixed boundary is subjected to a periodic force F0 sin !t per unit mass uniformly distributed over the membrane, then its displacement function u.r; t / satisfies the equation @2u @t2 D a2 @2u @r2 C 1 r @u @r ! C F0 sin !t: Substitute u.r; t / D R.r/sin !t to find a steady periodic solution.

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