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柳树风致响应的实测分析与预测

2021-09-29吴红华徐海杰李正农钟旻陈斌李佳男郝艳峰赵帝周立凡

湖南大学学报·自然科学版 2021年9期
关键词:相关性

吴红华 徐海杰 李正农 钟旻 陈斌 李佳男 郝艳峰 赵帝 周立凡

摘   要:為探究在不同时距和不同风速条件下树干各个高度的风致加速度响应的分布规律,对单棵柳树的树前风场及其树干加速度响应进行了现场实测. 结果表明:树前顺风向脉动风速与风致树干加速度响应的概率分布特性有显著区别,树前顺风向脉动风速近似高斯分布,树干顺风向加速度响应的概率分布为明显的尖峰非高斯概率分布;柳树的风致响应为一个强迫振动的过程;采用广义Pareto极值算法计算其极值加速度响应,当时距为180 s时树前平均风速与树干顺风向极值加速度响应的相关性最高;对树前不同平均风速下树干不同高度的极值加速度响应进行拟合分析与预测,发现其树干顺风向极值加速度与树前平均风速呈二次非线性关系. 关于柳树的风致响应规律特性的探究,对于研究树木抗风具有重要的意义.

关键词:树木抗风;风致响应;加速度;极值;相关性

中图分类号:X43;P425.6                         文献标志码:A

Analysis and Prediction of Wind-induced Response of Willow

WU Honghua1,XU Haijie1,LI Zhengnong1,ZHONG Min2,CHEN Bin1,LI Jianan1,

HAO Yanfeng1,ZHAO Di1,ZHOU Lifan1

(1. Key Laboratory of Building Safety and Energy Efficiency of Ministry of Education(Hunan University),Changsha 410082,China;

2. School of Civil Engineering,Hebei University of Architecture,Zhangjiakou 075000,China)

Abstract:In order to investigate the distribution law of wind-induced acceleration response at various heights of the trunk,different time distances and different wind speeds,field measurements were made on the front wind field and trunk acceleration response of a single willow tree. The results show that there are significant differences between the probability distribution characteristics of wind-induced tree trunk acceleration response and wind-downwind pulsating wind speed. The wind-downwind pulsating wind speed approximates the Gaussian distribution,and the probability distribution of wind-downwind acceleration response of tree trunk is a sharp non-Gaussian probability distribution. The wind-induced response of willow is a process of forced vibration. The generalized Pareto extremum algorithm was used to calculate the extremum acceleration response. When the distance was 180 s,the correlation between the mean wind speed in front of the tree and the extremum acceleration response in the downwind direction was the highest. The response of extreme acceleration at different height of the trunk under different mean wind speed in the front of the tree was analyzed and predicted by fitting. It was found that the downwind extreme acceleration of the trunk had a quadratic nonlinear relationship with the mean wind speed in the front of the tree. The study of wind-induced response characteristics of willow is of great significance to the study of wind resistance of tress.

Key words:wind resistance of tree;wind-induced response;acceleration;extremum;correlation

随着我国经济的快速发展,市民的生活质量要求也提高了很多,许多城市已经将提高城市绿化覆盖率提上议程,行道树的种植与保护已经成为衡量一座城市环境质量的一个重要指标. 种植树木不但能够防风固沙,而且还能除尘降噪. 然而,我国又是一个台风频发的国家. 据统计,平均每年在我国东南沿海生成并造成影响的台风为8个左右,多的甚至达到14个[1]. 2018年9月,“山……

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