Reliability Analysis of Hysteretic Frame Subjected to Near-fault Ground Motions

Abstract

This study focuses on the dynamic reliability analysis of hysteretic frame structures subjected to near-fault impulsive ground motions. Firstly, a stochastic synthesis model of near-fault pulse-like ground motion is established. The long-period velocity pulse is fitted to the single Gabor wavelet with five random parameters by the least square method, and the low-frequency acceleration components are achieved by differencing the velocity pulse. Then, the high-frequency components are represented by a random function-based spectral representation method combining with a stochastic envelope function. Furthermore, the probability density evolution method (PDEM) is utilized to efficiently calculate the probability density functions of hysteretic dynamic responses of structures. To evaluate the first-passage dynamic reliability, an absorbing boundary condition is imposed in the generalized probability density evolution equation (GPDEE), so that the probability carried by the random event crossing the safety domain to be zero. Finally, the remarkable influences of fault distance and the occurrence instant of velocity pulse on dynamic reliability of hysteretic frames are scrutinized.