Details
| Original language | English |
|---|---|
| Article number | 04019086 |
| Number of pages | 14 |
| Journal | Journal of Engineering Mechanics - ASCE |
| Volume | 145 |
| Issue number | 11 |
| Early online date | 23 Aug 2019 |
| Publication status | Published - Nov 2019 |
Abstract
Simulation of fluctuating wind speed field is of paramount significance in the design of large flexible structures. To circumvent the difficulty due to the decomposition of cross power spectral density (PSD) matrix and the interpolation between discretized spatial points, a wavenumber-frequency joint spectrum-based spectral representation method (SRM) has been developed recently. To further improve the efficiency and accuracy, the stochastic harmonic function (SHF) representation is extended in the present paper for the simulation of stationary and nonstationary fluctuating wind fields in two spatial dimensions. In contrast to the SRM, in addition to the phase angles, the frequencies and wavenumbers are also random variables over partitioned wavenumber-frequency subdomains. Furthermore, a strategy of dependent random frequencies and wavenumbers based on the SHF is proposed so that the number of random variables can be considerably reduced by 3/7. A new acceptance-rejection criterion, which avoids the artificial intervene, is suggested based on the p-power joint spectrum, and the subdomains are correspondingly determined by the Voronoi cell partitioning. For illustrative purposes, two numerical examples for the simulation of stationary and nonstationary fluctuating wind speed fields in two spatial dimensions are addressed, demonstrating the effectiveness of the proposed method in considerably reducing the random variables as well as the computational efforts.
Keywords
- Dependent random frequency-wavenumber points, Random wind field, Stationary and nonstationary, Stochastic harmonic function, Wavenumber-frequency joint spectrum
ASJC Scopus subject areas
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: Journal of Engineering Mechanics - ASCE, Vol. 145, No. 11, 04019086, 11.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Wind Speed Field Simulation via Stochastic Harmonic Function Representation Based on Wavenumber-Frequency Spectrum
AU - Song, Yupeng
AU - Chen, Jianbing
AU - Beer, Michael
AU - Comerford, Liam
N1 - Funding information: Financial supports from the National Natural Science Foundation of China (Grant Nos. 51725804, 11672209, and 11761131014) and the International Joint Research Program of Shanghai Municipal Government (Grant No. 18160712800) are highly appreciated.
PY - 2019/11
Y1 - 2019/11
N2 - Simulation of fluctuating wind speed field is of paramount significance in the design of large flexible structures. To circumvent the difficulty due to the decomposition of cross power spectral density (PSD) matrix and the interpolation between discretized spatial points, a wavenumber-frequency joint spectrum-based spectral representation method (SRM) has been developed recently. To further improve the efficiency and accuracy, the stochastic harmonic function (SHF) representation is extended in the present paper for the simulation of stationary and nonstationary fluctuating wind fields in two spatial dimensions. In contrast to the SRM, in addition to the phase angles, the frequencies and wavenumbers are also random variables over partitioned wavenumber-frequency subdomains. Furthermore, a strategy of dependent random frequencies and wavenumbers based on the SHF is proposed so that the number of random variables can be considerably reduced by 3/7. A new acceptance-rejection criterion, which avoids the artificial intervene, is suggested based on the p-power joint spectrum, and the subdomains are correspondingly determined by the Voronoi cell partitioning. For illustrative purposes, two numerical examples for the simulation of stationary and nonstationary fluctuating wind speed fields in two spatial dimensions are addressed, demonstrating the effectiveness of the proposed method in considerably reducing the random variables as well as the computational efforts.
AB - Simulation of fluctuating wind speed field is of paramount significance in the design of large flexible structures. To circumvent the difficulty due to the decomposition of cross power spectral density (PSD) matrix and the interpolation between discretized spatial points, a wavenumber-frequency joint spectrum-based spectral representation method (SRM) has been developed recently. To further improve the efficiency and accuracy, the stochastic harmonic function (SHF) representation is extended in the present paper for the simulation of stationary and nonstationary fluctuating wind fields in two spatial dimensions. In contrast to the SRM, in addition to the phase angles, the frequencies and wavenumbers are also random variables over partitioned wavenumber-frequency subdomains. Furthermore, a strategy of dependent random frequencies and wavenumbers based on the SHF is proposed so that the number of random variables can be considerably reduced by 3/7. A new acceptance-rejection criterion, which avoids the artificial intervene, is suggested based on the p-power joint spectrum, and the subdomains are correspondingly determined by the Voronoi cell partitioning. For illustrative purposes, two numerical examples for the simulation of stationary and nonstationary fluctuating wind speed fields in two spatial dimensions are addressed, demonstrating the effectiveness of the proposed method in considerably reducing the random variables as well as the computational efforts.
KW - Dependent random frequency-wavenumber points
KW - Random wind field
KW - Stationary and nonstationary
KW - Stochastic harmonic function
KW - Wavenumber-frequency joint spectrum
UR - http://www.scopus.com/inward/record.url?scp=85070775849&partnerID=8YFLogxK
U2 - 10.1061/(ASCE)EM.1943-7889.0001666
DO - 10.1061/(ASCE)EM.1943-7889.0001666
M3 - Article
AN - SCOPUS:85070775849
VL - 145
JO - Journal of Engineering Mechanics - ASCE
JF - Journal of Engineering Mechanics - ASCE
SN - 0733-9399
IS - 11
M1 - 04019086
ER -