Moreover, the multi-dimensional seismic response and the global reliability of a high-rise frame-core tube structure is discussed in detail to further illustrate the engineering applicability of the proposed method. Numerical simulations of multi-dimensional stochastic ground motions in a specific design scenario indicate the effectiveness of the proposed modeling strategy. Thirdly, the random function-based dimension-reduction representation is applied, by which seismic modeling is established, with three elementary random variables. Secondly, the evolutionary power spectrum involved in the model and the design response spectrum are constructed accordingly with sufficient consideration of the correlation between different seismic components. Specifically, at first, the ground motion model is compatible with the design response spectrum. This improved seismic model has several merits that enable it to better provide seismic analyses of structures. To this end, a proposed modeling strategy of multi-dimensional stochastic earthquakes is addressed in this study. When evaluating the seismic safety and reliability of complex engineering structures, it is a critical problem to reasonably consider the randomness and multi-dimensional nature of ground motions.
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