Extrapolation reconstruction of wind pressure fields on the claddings of high-rise buildings

doi:10.1007/s11709-018-0503-5

Front. Struct. Civ. Eng.

2019, Vol. 13

Issue (3) : 653-666 https://doi.org/10.1007/s11709-018-0503-5

RESEARCH ARTICLE

Extrapolation reconstruction of wind pressure fields on the claddings of high-rise buildings

Yehua SUN¹, Guquan SONG¹(

), Hui LV^1,²

¹. School of Civil Engineering and Architecture, Nanchang University, Nanchang 330033, China
². Jiangxi Institute of Economic Administrators, Nanchang 330038, China

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Abstract

Recent research about reconstruction methods mainly used the interpolation reconstruction of the fluctuating wind pressure field on the surface. However, to investigate wind pressure at the edge of the building, the work presented in this paper focuses on the extrapolation reconstruction of wind pressure fields. Here, we propose an improved proper orthogonal decomposition (POD) and Kriging method with a von Kármán correlation function to resolve this issue. The studies show that it works well for not only interpolation reconstruction but also extrapolation reconstruction. The proposed method does require determination of the Hurst exponent and other parameters analysed from the original data. Hence, the fluctuating wind fields have been characterized by the von Kármán correlation function, as an a priori function. Compared with the cubic spline method and different variogram, preliminary results suggest less time consumption and high efficiency in extrapolation reconstruction at the edge.

Keywords extrapolation reconstruction proper orthogonal decomposition Kriging method von Kármán function Hurst exponent rescaled range analysis

Corresponding Author(s): Guquan SONG

Online First Date: 03 September 2018 Issue Date: 05 June 2019

Cite this article:

Yehua SUN,Guquan SONG,Hui LV. Extrapolation reconstruction of wind pressure fields on the claddings of high-rise buildings[J]. Front. Struct. Civ. Eng., 2019, 13(3): 653-666.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-018-0503-5
https://academic.hep.com.cn/fsce/EN/Y2019/V13/I3/653

Fig.1 The claddings of several buildings damaged by strong wind in Wan chai of Hongkong

Fig.2 POD-Kriging procedure workflow

Fig.3 Experimental variogram form (c₀ is the nugget variance, c is the pure nugget, a is the range of spatial dependence, and c₀+c is the sill variance)

Fig.4 The channel positions on the windward surface (red circles denote the taps to be measured, blue rectangles denote the points to be extrapolated, and pink triangles denote the points to be interpolated)

Fig.5 Eigenvalue of each mode and modal accumulated energy

Fig.6 The original at the tap 161 of spectrum of mode (a) mode 1-3; (b) mode 1-9; (c) mode 1-18 and the reconstructed results at the tap 161 of spectrum of (d) mode 1-3; (e) mode 1-9; (f) mode 1-18

Fig.7 Mean wind pressure coefficients (a) and Hurst exponents on the windward surface (b)

Fig.8 The original data and interpolation results using the spline of spectrum at (a) tap 162; (b) tap 171; (c) tap 206 and POD/Kriging methods of spectrum at (d) tap 162; (e) tap 171; (f) tap 206

Fig.9 The original data and the extrapolation results via the spline of spectrum at (a) tap 1; (b) tap 7; (c) tap 13 and POD-Kriging methods of spectrum at (d) tap 1; (e) tap 7; (f) tap 13

Fig.10 The original data and extrapolation results via the POD-Kriging algorithm with the linear variogram of spectrum at (a) tap 401; (b) tap 407; (c) tap 413 and with the von Kármán function of spectrum at (d) tap 401; (e) tap 407; (f) tap 413

Tab.1 Statistical parameters of the extrapolation results compared with the original data

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