I want to convert set of equation into required matrix for my vibrational analysis. I am attaching herewith the two files. One with set of equation (named as questio1) and other one with required format(Named as required format).
Kindly help me out to get the final output.
input file/code
(A11 Amn \[Alpha]^2 + C11 Dmn \[Alpha]^2 - B11 Cmn \[Alpha]^3 +
A12 Bmn \[Alpha] \[Beta] + A66 Bmn \[Alpha] \[Beta] +
C12 Emn \[Alpha] \[Beta] + C66 Emn \[Alpha] \[Beta] +
A66 Amn \[Beta]^2 + C66 Dmn \[Beta]^2 -
B12 Cmn \[Alpha] \[Beta]^2 - 2 B66 Cmn \[Alpha] \[Beta]^2 -
Amn I0 \[Omega]^2 - Dmn I3 \[Omega]^2 +
Cmn I1 \[Alpha] \[Omega]^2) Cos[x \[Alpha]] Sin[y \[Beta]] == 0
(A12 Amn \[Alpha] \[Beta] + C12 Dmn \[Alpha] \[Beta] -
B12 Cmn \[Alpha]^2 \[Beta] - 2 B66 Cmn \[Alpha]^2 \[Beta] +
A22 Bmn \[Beta]^2 + C22 Emn \[Beta]^2 - B22 Cmn \[Beta]^3 +
A66 \[Alpha] (Bmn \[Alpha] + Amn \[Beta]) +
C66 \[Alpha] (Emn \[Alpha] + Dmn \[Beta]) - Bmn I0 \[Omega]^2 -
Emn I3 \[Omega]^2 + Cmn I1 \[Beta] \[Omega]^2) Cos[y \[Beta]] Sin[
x \[Alpha]] == 0
Required output
( {
{A11 \[Alpha] ^2 + A66 \[Beta]^2,
A12 \[Alpha] \[Beta] + A66 \[Alpha] \[Beta], -B11 \[Alpha]^3 -
B12 \[Alpha] \[Beta]^2 - 2 B66 \[Alpha] \[Beta]^2,
C11 \[Alpha]^2 + C66 \[Beta]^2,
C12 \[Alpha] \[Beta] + C66 \[Alpha] \[Beta]},
{A12 \[Alpha] \[Beta] + A66 \[Alpha] \[Beta],
A22 \[Beta]^2 + A66 \[Alpha]^2, -B12 \[Alpha]^2 \[Beta] -
B22 \[Beta]^3 - 2 B66 \[Alpha]^2 \[Beta],
C12 \[Alpha] \[Beta] + C66 \[Alpha] \[Beta],
C22 \[Beta]^2 + C66 \[Alpha]^2}
} ) - \[Omega]^2 ( {
{-I0, 0, \[Alpha] I1, -I4, 0},
{0, -I0, I1 \[Beta], 0, -I3}
} ) ( {
{Amn},
{Bmn},
{Cmn},
{Dmn},
{Emn}
} ) == 0
Attachments: