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Wind and Structures Volume 16, Number 5, May 2013 , pages 433-455 DOI: https://doi.org/10.12989/was.2013.16.5.433 |
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Scheme and application of phase delay spectrum towards spatial stochastic wind fields |
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Qi Yan, Yongbo Peng and Jie Li
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| Abstract | ||
| A phase delay spectrum model towards the representation of spatial coherence of stochastic wind fields is proposed. different from the classical coherence functions used in the spectral representation methods, the model is derived from the comprehensive description of coherence of fluctuating wind speeds and from the thorough analysis of physical accounts of random factors affecting phase delay, building up a consistent mapping between the simulated fluctuating wind speeds and the basic random variables. It thus includes complete probabilistic information of spatial stochastic wind fields. This treatment prompts a ready and succinct scheme for the simulation of fluctuating wind speeds, and provides a new perspective to the accurate assessment of dynamic reliability of wind-induced structures. Numerical investigations and comparative studies indicate that the developed model is of rationality and of applicability which matches well with the measured data at spatial points of wind fields, whereby the phase spectra at defined datum mark and objective point are feasibly obtained using the umerical scheme associated with the starting-time of phase evolution. In conjunction with the stochastic Fourier amplitude pectrum that we developed previously, the time history of luctuating wind speeds at any spatial points of wind fields can be readily simulated. | ||
| Key Words | ||
| phase delay spectrum; stochastic wind field; spatial coherence; coherence function; wind field simulation; spectral representation method | ||
| Address | ||
| Qi Yan and Jie Li : School of Civil Engineering, Tongji University, Shanghai 200092, China; Yongbo Peng and Jie Li : State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, China; Yongbo Peng : Shanghai Institute of Disaster Prevention and Relief, Tongji University, China | ||