水平荷载下树木迎风区横向单根的大位移模拟方法及其力学特性分析
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作者:
作者单位:

1.南京航空航天大学 土木与机场工程系,南京 211106;2.浙江大学 超重力研究中心, 杭州 310058;3.昆明市规划设计研究院有限公司,昆明 650051

作者简介:

王馨怡(2001- ),女,主要从事环境岩土工程研究,E-mail:17558878172@nuaa.edu.cn。
WANG Xinyi (2001- ), main research interest: geo-environmental engineering, E-mail: 17558878172@nuaa.edu.cn.

通讯作者:

张星宇(通信作者),男,博士,E-mail:x.y.zhang@nuaa.edu.cn。

中图分类号:

TU312.1

基金项目:

江苏省自然科学基金(BK20230895);国家自然科学基金(52408541、52208326)


Modelling and mechanical analysis of large displacement of windward lateral roots of trees under horizontal loads
Author:
Affiliation:

1.Department of Civil and Airport Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, P. R. China;2.Center for Hypergravity Experimental and Interdisciplinary Research, Zhejiang University, Hangzhou 310058, P. R. China;3.Kunming Planning and Design Research Institute Co., Ltd., Kunming 650051, P. R. China

Fund Project:

Natural Science Foundation of Jiangsu Province (No. BK20230895); National Natural Science Foundation of China (Nos. 52408541, 52208326)

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    摘要:

    台风下迎风区横向根对树木的抗倒伏有重要作用,但缺乏其在大位移条件下的定量研究。基于物理模型试验和有限元模拟,得到大位移下根单元的力-位移曲线。在此基础上,使用双线性软化假设并结合Winkler地基梁法研究水平荷载下树木迎风区横向单根的响应,分析根直径和长度对峰值弯矩和旋转刚度的影响。结果表明:当根的长度小于临界长度时,峰值弯矩随直径和长度的增加而增加,且对直径更敏感;总旋转刚度和初始旋转刚度都随直径的增加而增加,但总旋转刚度随长度的增加而减小,而初始旋转刚度基本保持不变。当根的长度超过临界长度时,弯矩-转角曲线总体上不再发生改变,以上指标也基本不变。使用根的直径、弹性模量对临界长度进行拟合,其结果可以满足工程中对粗根临界长度的估算。

    Abstract:

    Windward lateral roots have been shown to play a significant role in the resistance of trees to overturning under typhoons.However, there is a paucity of research focusing on their behaviours under large displacements. Through physical model tests and finite element simulations, the force-displacement curves of root elements under large displacements were obtained. Subsequently, the bilinear softening assumption incorporating the Winkler foundation beam method was used to analyze the response of single windward lateral roots under horizontal loads. Effects of root diameter and length on the peak bending moment and rotational stiffness were investigated. The findings demonstrated that when the root length was less than the critical length, the peak bending moment increased with an increase in diameter and length, and exhibited heightened sensitivity to diameter. Additionally, the overall rotational stiffness and initial rotational stiffness both increased with the increase in diameter; however, the overall rotational stiffness decreased with the increase in length, while the initial rotational stiffness basically remained unchanged. When the root was longer than the critical length, the moment-rotation curve generally no longer changed, so the above indexes were unchanged. The critical length was fitted with root diameter and elastic modulus, which can satisfty the estimation of the critical length of thick roots in engineering.

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王馨怡,张星宇,梁珂,梁腾,杨璐,柯世堂.水平荷载下树木迎风区横向单根的大位移模拟方法及其力学特性分析[J].土木与环境工程学报(中英文),2026,48(3):128-135. WANG Xinyi, ZHANG Xingyu, LIANG Ke, LIANG Teng, YANG Lu, KE Shitang. Modelling and mechanical analysis of large displacement of windward lateral roots of trees under horizontal loads[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2026,48(3):128-135.10.11835/j. issn.2096-6717.2025.040

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  • 收稿日期:2024-11-08
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  • 在线发布日期: 2026-06-10
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