Reliability assessment of structure subjected to horizontal-vertical random earthquake excitations

Abstract

Statistical analysis of the response spectra due to both horizontal and vertical ground excitations is conducted. A method is presented for generating a uniform hazard response spectrum making use of the seismic hazard curve expressing annual probability of exceedance as a function of peak ground acceleration (PGA), a set of normalized mean response spectra, and a coefficient-of-variation function for the random normalized spectral values in terms of period T. The response spectra of the system are calculated by considering both horizontal and vertical excitations simultaneously. Comparison on the uniform hazard response spectrum for case of single input (horizontal excitation only) and for case of multiple inputs (horizontal and vertical excitations) are made. It is important to note that the effect of load ratio ( Mg / P cr) as well as the PGA ratio between horizontal and vertical ground accelerations are two important parameters in the analysis of structural systems subjected to both horizontal and vertical ground motions.