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基于动力学模态分解的小厚宽比矩形截面的风压场研究
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Analysis of wind pressure field on rectangular cross-section with small side ratio based on dynamic mode decomposition
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    摘要:

    为探究小厚宽比(D/B<1.0)矩形截面的风荷载特性,选择了截面面积固定、厚宽比在0.25~1.00范围内变化的三维模型.利用基于空间平均的大涡模拟方法,首先得到4种厚宽比模型的气动力系数,以及模型不同立面的水平脉动风压相关系数,随后对比分析了厚宽比对模型侧面测点风压的乘积时程峰值及相位的影响.最后基于动力学模态分解(dynamic mode decomposition, DMD)方法建立了能够提取主要模态并重构风压场的降阶模型,对不同厚宽比模型的风压场进行分析.结果表明:厚宽比的降低会影响模型侧面的分离再附,改变风荷载作用机制,显著降低脉动风压的水平相关性,其中0.25厚宽比模型效果最为显著,在侧面再附长度约0.6B位置处为风压脉动特性的转捩点,转捩点上、下游风压时程呈现反相位且负相关特征.DMD方法提取的前4阶模态能够准确重构流场,阐明小厚宽比模型的随机风压场.本研究为相关流动控制和结构设计提供参考.

    Abstract:

    To investigate the wind load characteristics of rectangular sections with a small side ratio (D/B<1.0), a series of three-dimensional models (with fixed cross-sectional area and side ratios ranging from 0.25 to 1.00) were adopted. First, the space-averaged large eddy simulation (LES) method was used to obtain the aerodynamic coefficients of four models with distinct side ratios, as well as the correlation coefficients of horizontal fluctuating wind pressure across different facades of the models. Subsequently, the influence of the side ratio on the product time-history peaks and phases of wind pressure at the side-surface measurement points was compared and analyzed. Finally, based on the dynamic mode decomposition (DMD) method, a reduced-order model capable of extracting dominant modes and reconstructing the wind pressure field was established, and the wind pressure fields of models with different side ratios were analyzed. The results indicate that a decrease in the side ratio affects the separation and reattachment of flow on the model’s side surfaces, altering the wind load action mechanism and significantly reducing the horizontal correlation of fluctuating wind pressure (with the 0.25 side ratio model exhibiting the most pronounced effect). The transition point of wind pressure fluctuation characteristics is located approximately 0.6B from the side-surface reattachment region; the wind pressure time histories at the upstream and downstream of this transition point show opposite phases and negative correlation. The first four modes extracted via the DMD method can accurately reconstruct the flow field, thereby clarifying the random wind pressure field of small side ratio models. This study provides a reference for relevant flow control and structural design.

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陈伏彬 ,祝瑜哲 ,左小伟 ?.基于动力学模态分解的小厚宽比矩形截面的风压场研究[J].湖南大学学报:自然科学版,2026,(1):160~172

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  • 在线发布日期: 2026-02-06
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