Wind Pressure Field Reconstruction and Prediction of Large-Span Roof Structure with Folded-Plate Type Based on Proper Orthogonal Decomposition

Abstract

The complex and diverse structural forms make it impossible to define universal shape coefficients for large-span roof structures, which usually need to be obtained by wind tunnel tests. However, the number of test measurement points is limited, which leads to obvious limitations in the study of wind loads on large-span roof structures. Taking a large-span folded-plate roof as an example, based on the wind tunnel pressure test results of the rigid model, the proper orthogonal decomposition (POD) method is used to reconstruct the wind pressure field of the roof using the first several eigenmodes. The wind pressure of several typical characteristic points is predicted based on four different interpolations methods, and the accuracy and feasibility of POD method in reconstruction and prediction of wind pressure field of large-span roof are analyzed and studied from multiple perspectives. The results show that the order of the selected structural eigenmodes has an impact on the reconstruction accuracy of the wind pressure field. The more orders are selected, the closer the wind pressure field reconstruction is to the true value. The reconstruction effect of the wind pressure field based on the POD method is related to the spatial position of the predicted point, and the reconstruction effect of the wind field based on the fluctuating wind pressure is obviously better than the that based on the mean wind pressure. When the POD method is used to predict the wind pressure of an unknown point, different interpolation methods can achieve ideal results. Among them, the bilinear interpolation method has the highest prediction accuracy, and the adjacent point interpolation method and Griddata V4 interpolation method only have certain errors in the low frequency region.

Ground-Motion Intensity Measures for the Seismic Response of the Roof-Isolated Large-Span Structure

“…Notwithstanding the exceptional structural performance, it is worth noting that large-span spatial roofs may experience significant structural damage when subjected to certain seismic events, wind loads, and fluctuations in temperature [1]. To avoid the damage, a careful assessment of the structural load [2][3][4], and a precise numerical analysis of the structural mechanical performance [5][6][7] of large-span spatial structures have been conducted, and new technologies, including seismic isolation for domes and lattices, have been developed to meet diverse and demanding design needs [8][9][10]. The distinctive structural configurations of large-span spatial structures are marked by the abundance of natural frequencies and threedimensional vibration modal shapes under seismic loading.…”

Mean Reattachment Length of Roof Separation Bubbles Using Proper Orthogonal Decomposition

“…POD, first introduced by Lumley [31] as the Karhunen-Loève expansion, offers a comprehensive framework for understanding and characterizing structures by decomposing physical fields based on the inherent variables they represent. In recent years, POD has emerged as a valuable tool in wind engineering for analyzing complex flow and pressure dynamics surrounding bluff bodies [32][33][34][35][36][37][38][39][40][41][42], expanding our understanding of wind pressure fields on bluff bodies.…”

“…Despite these advancements and the broad application of POD in aerodynamic force and pressure field analyses, as evidenced in the literature [32][33][34][35][36][37][38][39][40][41][42], a technical gap remains in employing POD for predicting the mean reattachment lengths (X r ) in flow separation and reattachment phenomena of low-rise building roofs. This research sought to bridge this gap by providing a novel application of POD, specifically tailored to estimate the mean reattachment lengths (X r ) on low-rise building roofs.…”