This paper proposes a simplified theory to predict and compare the sei
smic performance of viscoelastical (VE)- and elastoplastical (EP)- dam
ped passive control systems, and to demonstrate their ability to prote
ct structures during a major seismic event. Closed-form expressions fo
r ''equivalent period'' and ''equivalent damping'' of these systems ar
e proposed by idealizing them as linear single-degree-of-freedom (SDOF
) systems. The expressions are used to clarify and compare the structu
ral parameters, seismic drift, and force for the systems, based on a c
ommon high-damping linear spectrum. By extending the SDOF theory, a se
ismically deficient 14-story steel moment resisting frame (MRF) is upg
raded by inserting VE or EP dampers. Extensive three-dimensional multi
-degree-of-freedom nonlinear dynamic analyses are performed for the MR
F, VE system, and EP system using earthquakes of various intensities.
The 14-story VE and EP systems responded as predicted by the SDOF theo
ry. They show much smaller drifts than the original MRF, keep frame me
mbers elastic, and protect nonstructural components, even against majo
r earthquakes.