# Solve complex eigenvalue problem?

Posted 7 months ago
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 I need to find damped natural frequencies and mode shapes of a 2 DOF system in Mathematica. I am relatively new in Mathematica and I don't seem to find out how to solve this problem for natural frequencies ω and mode shape vectors x using Mathematica. Thanks for your answers.Alex
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Posted 6 months ago
 The equation should hold for arbitrary x, therefore the terms in the bracket has to be zero sol= Flatten[Solve[(- \[Omega]^2 m + I \[Omega] c + k) == 0, \[Omega]]] The solutions provides two expressions for omega which in general are a complex.
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Posted 6 months ago
 I think you need a differential equation.
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