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Until recently, the viscous damping ratio pervasively assumed has been. However, the dynamic identification of the experimental response recorded in recent large-scale shake-table tests shows that lower levels of viscous damping are more appropriate when material nonlinearities are explicitly accounted for. This paper investigates a hybrid constant-ductility inelastic displacement ratio,, which identifies the inelastic demand for a viscous damping ratiowhen the elastic demand foris known. A comprehensive statistical analysis is developed, and analytical estimates are provided, for inelastic single-degree-of-freedom systems with a wide variation of the constitutive parameters and a large earthquake database.

Hybrid Low-Viscous-Damping Inelastic Displacement Ratios for Seismic Design and Assessment of Structures