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A sampling-variability-free dimension-reduced probability density evolution equation method for high-dimensional nonlinear stochastic dynamic analysis
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DOI：10.1016/j.ress.2025.111727.png)
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Abstract
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• A sampling-variability-free method is proposed for stochastic dynamic analysis of high-dimensional nonlinear systems. • A deterministic high-dimensional sampling strategy is introduced to avoid sampling variability. • The DR-PDEE method is employed to characterize the evolution of response PDFs. • Analytical and numerical studies indicate the efficiency and accuracy of the proposed method.
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