Numerous aftershocks can be triggered by a strong mainshock and may cause more severe and widespread
structural damage with respect to a single seismic event. This study investigates the effect of relative differences
between the incident angles of consecutive earthquakes on seismic demands of structures as bi-linear Single
Degree-Of-Freedom (SDOF) systems. To this aim, constant-strength spectra are developed based on different
Normalized Engineering Demand Parameters (NEDPs) to identify this impact as a new seismic uncertainty.
Several seismic sequences with one aftershock and also two aftershocks are generated considering different di
rections of both mainshocks and subsequent aftershocks as input excitations in nonlinear dynamic analyses of
SDOF systems. The results demonstrate that taking into account the relative differences of the incident angles of
sequential earthquakes can affect signifcantly seismic responses.