水平荷载下树木迎风区横向单根的大位移模拟
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1.南京航空航天大学 土木与机场工程系;2.浙江大学 超重力研究中心;3.昆明市规划设计研究院有限公司

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TU375.4

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国家自然科学基金(52408541,52208326)


Modelling of large deformation of windward lateral roots of trees under horizontal loads
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Affiliation:

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

Fund Project:

Natural Science Foundation of Jiangsu Province (Grant 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起重要作用,但关于其大位移条件下的定量研究缺乏。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,且对直径更为敏感;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,故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了拟合,可以满足工程中对粗根临界长度的估算。

    Abstract:

    Windward lateral roots play an important role in the resistance of trees overturning under typhoon, however, few studies focus on their behaviour under large deformation. Based on physical model tests and finite element simulations, the force-displacement curves of root elements under large displacements were obtained. Then the bilinear softening assumption, incorporating the Winkler foundation beam method was used. Effects of root diameter and length on the peak bending moment and rotational stiffness were investigated. The results showed that when the root was smaller than the critical length, the peak bending moment raised with the increase of diameter and length, and it was more sensitive to the diameter. Additionally, the overall rotational stiffness and initial rotational stiffness both increased with the increase of diameter, however the overall rotational stiffness decreased with the length, while the initial rotational stiffness basically unchanged. When the root was longer than the critical length, the moment-rotation curve was no longer changed in general, so the above indexes were therefore unchanged. The critical length was fitted using the root diameter and modulus of elasticity, which can meet the estimation of the critical length of thick roots for engineering purpose.

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  • 收稿日期:2024-11-08
  • 最后修改日期:2025-03-11
  • 录用日期:2025-04-08
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