GFY

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0 years, 235 days

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@janhardo 

s*yms*E__b*I__b*omega*m__2*J*rho__b*A__b*l;
beta := (omega^2*rho__b*A__b/(E__b*I__b))^(1/4);
NULL;
x := -cos(beta*l) - cosh(beta*l);
y := sin(beta*l) - sinh(beta*l);
g := cos(beta*l) - cosh(beta*l);
f := -sin(beta*l) - sinh(beta*l);
A := Matrix(2, 2, [[E__b*I__b*beta^3*x + m__2*omega^2*y, E__b*I__b*beta^3*y + g*m__2*omega^2], [E__b*I__b*beta^2*f - J*omega^2*y, E__b*I__b*beta^2*x - J*g*omega^2]]);
NULL;
with(LinearAlgebra);
with(Student[LinearAlgebra]);

detA := Determinant(A);
simplified_detA := simplify(detA);
NULL;
eqn := simplified_detA = 0;
solution := solve(eqn, omega);
 

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