Two methods are proposed to compute the response of inelastic composite pri
mary-secondary systems by a decomposition into undamped substructure modes.
The first method is based on an iterative syntheses, where interface condi
tions as well as inelastic deformations of the substructures are treated as
additional fictious loadings and their intensities are calculated in an it
erative process. Alternatively, only modal coupling of tuned modes is consi
dered, thus, restricting the application to coupled systems with a modal se
condary to primary mass ratio much smaller than one. The dynamic behavior o
f oscillators attached to frames with various inelastic substructure proper
ties is investigated, which are excited by the north-south component of the
El Centro earthquake sample, Results derived by the proposed methods are c
ompared to decoupled analyses to estimate their capability with respect to
inelastic substructural behavior and non-classical damping. (C) 1999 Elsevi
er Science Ltd. All rights reserved.