Question: Consider a rectangular membrane of sides (a) and (b) supported along all the edges. (a) Derive an expression for the deflection (w(x, y, t)) under

Consider a rectangular membrane of sides \(a\) and \(b\) supported along all the edges.

(a) Derive an expression for the deflection \(w(x, y, t)\) under an arbitrary pressure \(f(x, y, t)\).

(b) Find the response when a uniformly distributed pressure \(f_{0}\) is applied to a membrane that is initially at rest.

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