Why am I getting frequency parameters as complex numbers and complex conjugates? What does it mean?

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Chitaranjan Pany

complex frequency means frequency with phase information. real part is rate of decay and imaginary part is rate of oscillation.

This occurs when the matrix we solve to get frequency is asymmetric. It happens when we solve stability of structural problem i.e. coupling of fluid-structure interaction or when damping is significant i.e. very high,rotating components.

Jaafar Alsalaet

These are the roots of the characteristics equation or Eigenvalues of system matrix. Imaginary parts represents oscillation or damped natural frequencies