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 consistin g of n - 1 masses connected in parallel, by springs and dampers, to an nth mass. The paper analyzes the construction of such a system from the given c omplex eigenvalue data. The analysis has two parts: the establishment of th e conditions on the eigenvalues which ensure that they correspond to an act ual system; the derivation of the system parameters from the eigenvalues. ( C) 2001 Academic Press.