基于精细有限元模型的云冈石窟稳定分析与安全评估
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作者:
作者单位:

1.北京交通大学 土木建筑工程学院,北京 100044;2.云冈研究院,山西 大同 037007;3.北京古遗址保护研究中心,北京 100044

作者简介:

窦超(1984- ),男,博士,副教授,从事古遗址评估与保护研究,E-mail:douchao@bjtu.edu.cn。
DOU Chao (1984- ), PhD, associate professor, main research interests: heritage protection and risk assessment, E-mail: douchao@bjtu.edu.cn.

通讯作者:

中图分类号:

TU457

基金项目:

山西省文物局科技项目(2021KT33)


Stability analysis and safety evaluation of Yungang Grottoes based on fine finite element model
Author:
Affiliation:

1.School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, P. R. China;2.Yungang Grottoes Research Institute, Datong 037007, Shanxi, P. R. China;3.Beijing Ancient Site Protection Research Center, Beijing 100044, P. R. China

Fund Project:

Science and Technology Project of Shanxi Cultural Relics Bureau (No. 2021KT33)

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    摘要:

    在自然界的各种营力作用下,石窟寺病害严重,随着时间的推移,损伤程度不断加剧,因此,石窟寺的预防性保护问题日渐严峻。石窟寺的预防性保护研究方法主要为数值计算及现场监测,为确保数值计算的准确性,提出研究思路:利用石窟寺的三维激光扫描云图生成石窟寺的精细几何模型,准确反映石窟寺的复杂几何形状;利用H-B准则考虑风化、裂隙、节理等病害造成的岩体力学性能劣化,得到接近实际情况的岩石物理力学参数值,进而建立能较为真实地反映石窟边界条件、应力位移及可能破坏情况的精细化数值计算模型;结合强度折减法对石窟寺的稳定性进行分析,并结合岩体的纵波波速对岩体劣化后石窟的危险区域进行预测,建立预警系统,实现对石窟寺的预防性保护。以云冈石窟第9、10号洞窟为例,采用该方法进行系统性建模、受力分析和稳定性讨论。结果表明,现阶段洞窟整体呈稳定状态,部分区域存在应力集中;通过岩石强度劣化模拟对洞窟的潜在失稳风险区域进行预测,并建立以岩体纵波波速为评判依据的预警系统。

    Abstract:

    Subjected to various natural forces, the disease of grotto temple is serious. The damage degree of grotto temple is increasing with time, and the preventive protection for grotto temple is becoming more essential. The preventive protection measures mainly consists of the numerical evaluation and on-site monitoring. In order to ensure the accuracy of numerical calculation, this paper proposes the following methodology: First, the three-dimensional laser scanning cloud image of the grottoes temple is used to generate a fine geometric model of the grottoes temple to accurately reflect its complex geometric shape; Secondly, H-B criterion is used to fully consider the deterioration of rock mass mechanical properties caused by weathering, cracks, joints and other diseases, and to obtain reliable rock physical and mechanical parameter, and then establish a refined numerical calculation model that more truly reflects the boundary conditions, stress displacement and possible failure path. Finally, the current stability of the grotto temple is analyzed by strength reduction method, and the danger zone of the grotto after the deterioration of the rock mass is predicted by the longitudinal wave velocity of the rock mass, and an early warning system is established to realize the preventive protection of the grotto temple. Taking Grottoes No. 9 and 10 of Yungang Grottoes as an example, systematic modeling, force analysis and stability discussion are carried out by using the above research ideas. The results show that the grottoes maintain a stable state as a whole at present, and stress concentration exists in some areas. By simulating rock strength deterioration, the potential instability risk area of the cave is predicted, and an early warning system based on rock P-wave velocity is established.

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窦超,丁会方,闫丁,任建光,王娟,杨娜.基于精细有限元模型的云冈石窟稳定分析与安全评估[J].土木与环境工程学报(中英文),2025,47(3):66-78. DOU Chao, DING Huifang, YAN Ding, REN Jianguang, WANG Juan, YANG Na. Stability analysis and safety evaluation of Yungang Grottoes based on fine finite element model[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2025,47(3):66-78.10.11835/j. issn.2096-6717.2024.042

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  • 收稿日期:2024-01-19
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  • 在线发布日期: 2025-05-21
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