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Study on POD Analysis and Reduced-Order Modeling of Fluctuating Wind Pressure on Large-Span Cantilever Canopy Roofs From the Perspective of Spatiotemporal Evolution Characteristics

Abstract

This study investigates the spatiotemporal evolution of fluctuating wind pressure on large-span cantilever canopy roofs under complex wind fields. Employing Proper Orthogonal Decomposition (POD), we perform modal decoupling and energy distribution analyses on high-dimensional pressure time-history data from 32 measurement points of a 48m×96m large-span cantilever canopy roof. Results show that the first-order mode displays strong global coherence, contributing 32.41% of the total energy. With increasing mode order, the spatial structure transitions from global patterns to local vortex features; the first ten modes collectively account for 78.11% of the total energy, capturing the edge flow separation and multi-scale vortex shedding behaviors of the rectangular cantilever structure. Signal reconstruction at key windward points verifies that the low-dimensional POD model enhances computational efficiency while preserving the dynamic features of the original flow field, thereby offering theoretical support for wind-resistant design of large-span structures and compression of structural monitoring data.

Keywords

Large-span cantilever canopy roof, Proper orthogonal decomposition, Fluctuating wind pressure field, Spatiotemporal evolution characteristics, Energy distribution characteristics

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