Reliability-Based Hysteretic Energy Spectra Using Modern Intensity Measures

This work is oriented to develop a reliability-based seismic design tool that account for cumulative demands. For this aim, dissipated hysteretic energy uniform annual failure rate (UAFR) spectra are obtained via the advanced spectral shape-based intensity measure INp. In order to obtain the new hysteretic energy spectra based on structural reliability, a set of 50 earthquake ground motions selected from soft soil of Mexico City, included the 1985 earthquake were selected due to their large energy amount demanded to the structures. Several nonlinear oscillators with elasto-perfectly plastic, bilinear and Takeda hysteretic behavior are subject to the set of records to compute the new tool for energy-based design. It is observed that the use of elasto-perfectly plastic models provided similar UAFR spectra in comparison with hysteretic models with different post-yielding stiffness. On the other hand, if stiffness degradation is considered, the UAFR energy spectra tend to be different. The new hysteretic energy UAFR spectra are the beginning toward energy-based earthquake resistant design that combine structural reliability and advanced ground motion intensity measures for degrading and/or no degrading structures.