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
References
- Mostafa K, Zisis I, Stathopoulos T. Codification of wind loads on hip roof overhangs of low-rise buildings[J]. Engineering Structures, 2023, 288: 116199. https://doi.org/10.1016/j.engstruct.2023.116199
- Wang J, Wang F, Chen X, et al. Investigation of wind load characteristics of cantilevered scaffolding of a high-rise building based on field measurement[J]. Energy and Buildings, 2025, 328: 115123. https://doi.org/10.1016/j.enbuild.2024.115123
- Sun W, Zhang Q. Universal equivalent static wind loads of fluctuating wind loads on large-span roofs based on compensation of structural frequencies and modes[C]//Structures. Elsevier, 2020, 26: 92-104. https://doi.org/10.1016/j.istruc.2020.04.008
- Zhang B, Nie S, Liu M, et al. Experimental Study on Wind Load of Large-Span Flexible Photovoltaic Structure Considering Different Tilt Angles[J]. Energies, 2025, 18(18): 4820. https://doi.org/10.3390/en18184820
- Ma T, Zhao L, Ji T, et al. Case study of wind-induced performance and equivalent static wind loads of large-span openable truss structures[J]. Thin-Walled Structures, 2022, 175: 109206. https://doi.org/10.1016/j.tws.2022.109206
- Hao Y, Han T, Wu H, et al. Study on the Wind-induced Interference Effect of a Large-span Roof Structure Building Group[J]. KSCE Journal of Civil Engineering, 2024, 28(4): 1392-1410. https://doi.org/10.1007/s12205-024-1356-1
- Kim Y C, Shan W, Yang Q S, et al. Effect of panel shapes on wind-induced vibrations of solar wing system under various wind environments[J]. Journal of Structural Engineering, 2020, 146(6): 04020104. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002642
- Huang D, Chen G. Wind pressure distribution, non-Gaussian characteristics, and conical vortices of a large-span roof with variable arc angles[J]. Journal of Building Engineering, 2022, 57: 104929. https://doi.org/10.1016/j.jobe.2022.104929
- Wu Y, Zhang W, Miao P, et al. Wind-induced interference effect of complex building clusters on long-span roof structures[J]. Journal of Fluids and Structures, 2024, 129: 104157. https://doi.org/10.1016/j.jfluidstructs.2024.104157
- Jia H, Dang H, Ma Q, et al. Airflow Patterns around Obstacles with Large‐Span Shallow Shell Roof: Wind Tunnel Measurements and Direct Simulation[J]. Mathematical Problems in Engineering, 2019, 2019(1): 9619282. https://doi.org/10.1155/2019/9619282
- Behera S, Ghosh D, Mittal A K, et al. The effect of plan ratios on wind interference of two tall buildings[J]. The Structural Design of Tall and Special Buildings, 2020, 29(1): e1680. https://doi.org/10.1002/tal.1680
- Tamura Y, Xu X, Yang Q. Characteristics of pedestrian-level Mean wind speed around square buildings: Effects of height, width, size and approaching flow profile[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2019, 192: 74-87. https://doi.org/10.1016/j.jweia.2019.06.017
- Heidt L, Colonius T. Spectral proper orthogonal decomposition of harmonically forced turbulent flows[J]. Journal of fluid mechanics, 2024, 985: A42. https://doi.org/10.1017/jfm.2024.70
- Nekkanti A, Schmidt O T. Gappy spectral proper orthogonal decomposition[J]. Journal of Computational Physics, 2023, 478: 111950. https://doi.org/10.1016/j.jcp.2023.111950
- Olesen P J, Hodžić A, Andersen S J, et al. Dissipation-optimized proper orthogonal decomposition[J]. Physics of Fluids, 2023, 35(1). https://doi.org/10.1063/5.0131923
- Tamura Y, Ueda H, Kikuchi H, et al. Proper orthogonal decomposition study of approach wind-building pressure correlation[J]. Journal of wind engineering and industrial aerodynamics, 1997, 72: 421-431. https://doi.org/10.1016/S0167-6105(97)00270-5
- Tamura Y, Suganuma S, Kikuchi H, et al. Proper orthogonal decomposition of random wind pressure field[J]. Journal of fluids and structures, 1999, 13(7-8): 1069-1095. https://doi.org/10.1006/jfls.1999.0242
- Kim B, Tse K T. POD analysis of aerodynamic correlations and wind-induced responses of two tall linked buildings[J]. Engineering Structures, 2018, 176: 369-384. https://doi.org/10.1016/j.engstruct.2018.09.013
- Zhou L, Tse K T, Hu G. Experimental investigation on the aerodynamic characteristics of a tall building subjected to twisted wind[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2022, 224: 104976. https://doi.org/10.1016/j.jweia.2022.104976
- Yuan K, Chen Z, Xu Y, et al. Aerodynamic interference and flow field mechanisms of three-dimensional tandem square cylinders based on proper orthogonal decomposition and high-order dynamic mode decomposition modeling[J]. Physics of Fluids, 2025, 37(5). https://doi.org/10.1063/5.0270219