ON THE RECONSTRUCTION OF A DAMPED VIBRATING SYSTEM FROM TWO COMPLEX SPECTRA, PART 1: THEORY

The paper concerns an n -degree of freedom damped vibrating system consisting ofn –1 masses connected in parallel, by springs and dampers, to an n th mass. The paper analyzes the construction of such a system from the given complex eigenvalue data. The analysis has two parts: the establishment of the conditions on the eigenvalues which ensure that they correspond to an actual system; the derivation of the system parameters from the eigenvalues.