Abstract
A framework for a multidimensional nonstationary ground motion model based on spectral representation theory is proposed in this paper. The multidimensional nonstationary ground motion model is built from a local target to fit the multidimensional response spectrum. A four-stage modulation function takes into account the multidimensional intensity correlation and the modified Clough–Penzien (C-P) power spectrum with parameter correlation, which represent the two main aspects, the modulation function and the power spectrum of constructing the multidimensional nonstationary ground motion model. A multidimensional response spectrum constructed according to the standardizing response spectrum is used as the fitting target response spectrum. Samples of random ground motion for random seismic response and dynamic reliability study are finally obtained. The random seismic responses are then combined with the probability density evolution method (PDEM) to carry out the seismic reliability analysis of a randomly base-excited moment-resisting frame structure. In the numerical analysis, the nonlinear seismic responses and reliability of a 10-story reinforced concrete frame structure are carefully investigated in accordance with the Egyptian seismic code. As a result, the effectiveness of the proposed method is fully demonstrated.
Highlights
After critical earthquake events, structures in the affected zones suffer a considerable amount of damage in most cases.e economic consequences of seismic events can be catastrophic in the adjacent zones
When performing analysis of the stochastic earthquake response of nonlinear structures, it is necessary to have a great number of nonstationary ground motion processes with statistical features identical to the target spectrum. is paper proposes a multidimensional nonstationary ground motion model using a local perspective simplified method to fit the target response spectrum based on the requirements of engineering applications. e proposed model starts from the local simulation of the ground motion process; its control target is to fit the multidimensional response spectrum. e details of the multidimensional nonstationary ground motion model are discussed
Nonstationary multidimensional random ground motion has an important role to play in the seismic reliability of engineering structures
Summary
Structures in the affected zones suffer a considerable amount of damage in most cases. Motivated by the necessity for multidimensional analysis and the high level of uncertainty involved in modeling ground motions, the key objective and contribution of this paper is to propose a framework for a multidimensional nonstationary ground motion model based on spectral representation theory and compatible with the Egyptian seismic code. The proposed framework is presented, followed by a detailed discussion about mathematical modeling of the effects of nonstationary multidimensional random ground motion composed of multiple sequences on inelastic structures. En, the multidimensional representative time history used in the seismic design of building structures is generated according to the Egyptian code, and the efficacy of the proposed method is verified. A brief overview of the PDEM-based dynamic reliability assessment adopted for the modeling is provided. is is followed by a detailed description of the case study, the probability density evolution analysis conducted on a 10-story reinforced concrete frame structure. e results of the analysis are thoroughly discussed, and the paper ends with the conclusions drawn from the analysis based on the key findings
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