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浙江大学学报(工学版)  2026, Vol. 60 Issue (7): 1577-1585    DOI: 10.3785/j.issn.1008-973X.2026.07.019
土木与水利工程     
基于地基梁法的植被根系重构方法
苗永奇1,2(),张星宇1,2,*(),杨璐3,柯世堂1,2
1. 南京航空航天大学 土木与机场工程系,江苏 南京 210016
2. 南京航空航天大学 土木工程动力多灾害防护高校重点实验室,江苏 南京 211106
3. 昆明市规划设计研究院有限公司,云南 昆明 650051
Reconstruction of root system based on foundation beam approach
Yongqi MIAO1,2(),Xingyu ZHANG1,2,*(),Lu YANG3,Shitang KE1,2
1. Department of Civil and Airport Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2. Key Laboratory of Dynamic Multi-hazard Protection in Civil Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
3. Kunming Planning and Design Research Institute Co., Ltd, Kunming 650051, China
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摘要:

针对植被根系结构复杂、传统数值分析方法效率低且难以模拟大位移变形的问题,提出基于Winkler地基梁法的根系重构方法,将单根简化为水平或竖直圆柱体,保留关键根系分布特征. 构建窄而深(模型A)和宽而浅(模型B)2种根系的复杂模型及其简化模型(Am、Bm),对比分析超重力条件下根系重构前后的弯矩-转角曲线和破坏机理. 研究发现,初始阶段重构前后模型的弯矩-转角曲线高度吻合;在大位移阶段,模型B和Bm的响应较为相似,而模型Am主根因应力集中断裂,弯矩骤降65%;2种模型横向根拔出现象均与现场试验一致. 简化模型能准确再现根系的抗倾覆性能,可以有效捕捉由主根断裂等机制主导的破坏模式,为复杂根系物理模拟与数值建模提供理论基础.

关键词: 根系重构超重力Winkler地基梁法破坏机理弯矩-转角曲线    
Abstract:

Aiming at complexity of the root architecture, low efficiency of typical numerical simulation method and difficulty of modelling large deformation, a root system reconstruction method was proposed on basis of Winkler foundation beam theory. The individual roots were simplified into horizontal or vertical cylindrical elements while preserving key root distribution characteristics. Two types of complex root system models were built: a narrow-deep model A and a wide-shallow model B, together with their simplified versions Am and Bm. The bending moment-rotation curves and the failure mechanisms before and after root system reconstruction under centrifugal conditions were compared. The initial stage of moment-rotation curves showed high consistency between original and reconstructed models. Model B and Bm exhibited similar responses under large displacement, whereas the tap root in Model Am was broken due to stress concentration, leading to 65% moment reduction. Windward lateral roots were pulled out of the soil, consistent with the field observations. The simplified model accurately reproduces the overturning resistance and effectively captures the failure mechanisms dominated by taproot fracture, providing theoretical basis for physical and numerical modelling of complex root systems.

Key words: root system reconstruction    hypergravity    beam on Winkler foundation approach    failure mechanism    moment-rotation curve
收稿日期: 2025-04-18 出版日期: 2026-05-23
CLC:  TU 375.4  
基金资助: 江苏省自然科学基金资助项目(BK20230895);国家自然科学基金资助项目(52408541, 52321165649);中央高校基本科研业务费专项资金资助项目(NS2025021).
通讯作者: 张星宇     E-mail: miaoyongqi@nuaa.edu.cn;x.y.zhang@nuaa.edu.cn
作者简介: 苗永奇(1999—),男,硕士生,从事环境岩土工程研究. orcid.org/0009-0007-6052-3427. E-mail:miaoyongqi@nuaa.edu.cn
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引用本文:

苗永奇,张星宇,杨璐,柯世堂. 基于地基梁法的植被根系重构方法[J]. 浙江大学学报(工学版), 2026, 60(7): 1577-1585.

Yongqi MIAO,Xingyu ZHANG,Lu YANG,Shitang KE. Reconstruction of root system based on foundation beam approach. Journal of ZheJiang University (Engineering Science), 2026, 60(7): 1577-1585.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2026.07.019        https://www.zjujournals.com/eng/CN/Y2026/V60/I7/1577

图 1  根系模型示意图(黑色标记为试验中发生破坏的根)
物理量相似系数物理量相似系数
长度1/N应力1
体积1/N31/N2
密度1位移1/N
加速度N弯矩1/N3
刚度1转角1
表 1  相似律
图 2  主根简化示意图
图 3  横向根简化示意图
图 4  3级根简化方法示意图
图 5  A、B和Am、Bm模型在不同区域的(a)(c)横向根和(b)(d)竖向根数量(平面图)
图 6  A、Am和B、Bm模型累计根系体积
图 7  ABS材料的力学性能
图 8  试验土的颗粒级配曲线
图 9  试验土最大摩擦角
图 10  离心试验装置示意图
图 11  A、Am和B、Bm模型弯矩-转角图
图 12  植被主根抗倾覆模拟示意图
图 13  主根模拟和等效单桩模拟弯矩-转角图
图 14  基于Winkler地基梁法对根系的耦合约束
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