For a membrane with all sides fixed with lengths 3 in the x-direction and 6 in the y-direction, write a MATLAB code for finding nodal points.
Added by Luc-A G.
Step 1
For a rectangular membrane with fixed edges (Dirichlet), the normal modes are phi_mn(x,y) = sin(m*pi*x/a) * sin(n*pi*y/b), with a = 3 (x-direction) and b = 6 (y-direction). Nodal lines occur where either sine factor is zero, i.e. sin(m*pi*x/a)=0 or Show more…
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