SOLVED: Consider vibrations of the rectangular membrane with two edges fixed and the other two edges held free.(a) Find the general formula for the displacement u(x,y,t) of the membrane by solving the two-dimensional wave equation in a rectangular domain under mixed boundary conditions:Au, 0 0 u(0,y,t) = u(a,y,t) = 0, 0 0 u(x,0,t) = u(x,b,t) = 0, 0 0(b) Find the solution for a square membrane if the initial position and velocity are given:u(x,y; 0) = 3sin(2x) - sin(x)cos(3y) 5sin(4x)cos(3y)
SOLVED: Consider vibrations of the rectangular membrane with two e…
Sep 4, 2021
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Consider the vibration of a rectangular membrane of sides a and... | Filo
Consider the vibration of a rectangular membrane of sides a …
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SOLVED:Starting from fundamentals, show that the equation for the lateral vibration of a circular membrane is given by (∂^2 w)/(∂r^2) (1)/(r) (∂w)/(∂r) (1)/(r^2) (∂^2 w)/(∂θ^2)=(ρ)/(P) (∂^2 w)/(∂t^2)
SOLVED:Starting from fundamentals, show that the equat…
Apr 15, 2021
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The amplitude U(ρ,φ,t) of a vibrating circular membrane of radi... | Filo
The amplitude U(ρ,φ,t) of a vibrating circular membrane of radi... | Filo
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