基于ARMA模型模拟高架桥的脉动风速时程

李春祥;谈雅雅;李锦华

振动与冲击 ›› 2009, Vol. 28 ›› Issue (6) : 46-51.

PDF(1406 KB)
PDF(1406 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (6) : 46-51.
论文

基于ARMA模型模拟高架桥的脉动风速时程

  • 李春祥,谈雅雅,李锦华
作者信息 +

Simulation of fluctuating wind speed time series of overpass bridges by resorting to ARMA model

  • Li Chunxiang,Tan Yaya,Li Jinhua
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摘要

摘要:强风是高架桥设计与防灾减灾分析的控制性荷载之一。风与高架桥相互作用十分复杂,可以通过风洞试验、现场实测、数值模拟获取可靠的风速(风荷载)数据。尽管如此,时域分析可以使人们更全面地了解高架桥的风振响应特性, 也能更直观地反映高架桥风致振动控制的有效性。因此, 本文使用线性滤波法即白噪声滤波法(WNFM)中的自回归滑动平均(ARMA)模型模拟高架桥的脉动风速时程。首先, 考虑高架桥脉动风速的时间和空间相关性, 导出自回归(AR)模型阶数与滑动回归(MA)模型阶数不相等时ARMA模型的表达式。接着, 基于Kaimal风速谱, 使用ARMA模型来模拟一座实际高架桥的脉动风速时程。最后,通过比较模拟风速功率谱、自相关和互相关函数与目标风速功率谱、自相关和互相关函数的吻合程度, 验证基于ARMA模型模拟高架桥脉动风速时程的可行性。

Abstract

Abstract: The wind loading is one of the crucial loads in both the wind-resistant design and disaster prevention and reduction analyses for overpass bridges. Inasmuch as the wind-overpass bridge interaction is rather complicated, we can obtain the reliable data of wind velocity (loading) by resorting to wind tunnel tests, full-scale measurements, and numerical simulations. Notwithstanding this, we may gain an insight into the dynamic characteristics of vibrations of overpass bridges under wind loads via the time history analysis. The effectiveness of wind vibration control of overpass bridges can be intuitively displayed in the time domain. Therefore, the main objective of this paper is to simulate the fluctuating wind velocity time series of overpass bridges with resorting to the auto-regressive move average (ARMA) model in the white noise filtration method (WNFM). First, taking into account both the time and space correlativity of the wind speed of overpass bridges, the expressions of the ARMA model have been derived with the order of both the auto-regressive (AR) and move-regressive (MA) components being unequal. Then, based on Kaimal spectrum, the simulation of the wind velocity time histories of a real overpass bridge has been carried out utilizing the ARMA model. Eventually, through comparing the simulated values of wind speed spectral density, auto- and cross-correlation functions with the corresponding targets, the flexibility is then corroborated of simulating the fluctuating wind speed time series of overpass bridges using the ARMA model.

关键词

高架桥 / 风荷载 / 风速时程 / 自回归滑动平均模型 / 随机过程 / 数值模拟

Key words

Overpass bridges / Wind loading / Wind speed time series / Auto-regressive move average (ARMA) model / Stochastic process / Numerical simulation

引用本文

导出引用
李春祥;谈雅雅;李锦华. 基于ARMA模型模拟高架桥的脉动风速时程 [J]. 振动与冲击, 2009, 28(6): 46-51
Li Chunxiang;Tan Yaya;Li Jinhua. Simulation of fluctuating wind speed time series of overpass bridges by resorting to ARMA model[J]. Journal of Vibration and Shock, 2009, 28(6): 46-51

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