Modal synthesis procedure for evaluating spectral acceleration in the
single degree of freedom (SDOF) secondary system oscillator is studied
. Problems encountered in the evaluation of response for secondary osc
illators that are tuned or nearly tuned with the primary system modes
are discussed and solutions to these problems are presented. A new hyb
rid approach is proposed that gives accurate spectral acceleration in
tuned secondary systems for both cases of zero and non zero mass ratio
in structures that are nonclassically damped. Formulations are develo
ped to evaluate the interaction-free (zero mass ratio) instructure spe
ctral accelerations for perfectly tuned secondary oscillators in a cou
pled primary-secondary system when the two uncoupled systems have same
damping characteristics (classical damping case). (C) 1997 Elsevier S
cience S.A.