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Time-Varying Multiscale Spatial Correlation: Simulation and Application to Wind Loading of Structures
| 题名： | Time-Varying Multiscale Spatial Correlation: Simulation and Application to Wind Loading of Structures |
| 正文语种： | 英文 |
| 作者： | Haifeng Wang, S.M.ASCE;Teng Wu, M.ASCE |
| 作者单位： | Univ, at Buffalo |
| 关键词： | Nonstationarity; Simulation; Hilbert-wavelet scheme; Time-varying multiscale spatial correlation |
| 摘要： | The nonstationarities observed in extreme winds (e.g., tropical cyclones and downbursts) are typically characterized by the time-dependent second-order statistics (e.g., power spectra and correlations) for engineering applications. In the conventional simulation of nonstationary winds, however, only the time-varying spectra are addressed, for example, through the evolutionary power spectral density approach. The spatial correlation (zero time lag) is usually treated as time-invariant. In this study, the Hilbert transform, together with the wavelet packet decomposition technique, is utilized to simulate nonstationary wind fields with time-varying spatial correlation. The Hilbert・wavelet scheme first decomposes the original broadband wind process into a series of monocomponent subsignals, and then the corresponding instantaneous amplitudes, phases, and frequencies are obtained. Hence, it actually requires the simulation of timevarying multiscale spatial correlation between subsignals at various decomposition levels. It turns out that the correlation coefficients for each scale (decomposition levels) can be determined by the time-dependent probability density function (PDF) of the instantaneous phase difference between corresponding subsignals. In addition, the bounded Gaussian-like distribution of the instantaneous frequency indicates that the power spectral density (PSD) of the instantaneous phase difference should possess a low-value upper bound. The widely used translation process theory is employed to ensure that the generated instantaneous phase difference sequences satisfy both target PDF and PSD. A numerical example of the downburst wind field is used to demonstrate the high simulation fidelity of the proposed synthesis scheme for nonstationary winds with time-varying multiscale spatial correlation, and a tall building with various natural frequencies and damping ratios is utilized to show the significance of the time-varying multiscale spatial correlation in the estimation of the wind loading of structures. |
| 出版日期： | 2020 |
| 出版年： | 2020 |
| 期刊名称： | Journal of Structural Engineering |
| 卷： | Vol.146 |
| 期： | No.07 |
| 页码： | 04020138 |
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