大足石刻卧佛佛手精细化建模及稳定性分析  

ACCURATE ESTABLISHMENT AND STABILITY ANALYSIS OF BERGAMOT MODEL OF RECLINING BUDDHA IN DAZU ROCK CARVING

作　　者：黄蕾 马雨君 王南[1,2,3] 张景科 刘建辉[4] 陈卉丽 HUANG Lei;MA Yujun;WANG Nan;ZHANG Jingke;LIU Jianhui;CHEN Huili(College of Civil Engineering and Mechanics,Lanzhou University,Lanzhou 730000,China;Key Laboratory of Mechanics on Disaster and Environment in Western China,The Ministry of Education of China,Lanzhou University,Lanzhou 730000,China;Key Scientific Research Base of Basic Science of Rock-Earthen Relics Protection and Talents Cultivation(Lanzhou University),Cultural Heritage Bureau of Gansu Province,Lanzhou 730000,China;Chinese Academy of Cultural Heritage,Beijing 100029,China;Dazu Academic of Carved Stone,Dazu 402360,China)

机构地区：[1]兰州大学土木工程与力学学院,兰州730000 [2]兰州大学西部灾害与环境力学教育部重点实验室,兰州730000 [3]岩土质文物保护基础科学研究与人才培养甘肃省文物局重点科研基地(兰州大学),兰州730000 [4]中国文化遗产研究院,北京100029 [5]大足石刻研究院,大足402360

出　　处：《工程地质学报》2024年第6期2017-2029,共13页Journal of Engineering Geology

基　　金：国家重点研发计划项目(资助号:2019YFC1520600)。

摘　　要：石质文物模型的建立与稳定性研究,对于古代文物的社会文化、民族特色等历史信息有着重要意义。本文以大足石刻卧佛佛手为例,基于文物三维空间结构信息,利用Geomagic内置算法实现高精度佛手数字化模型重构,通过Rhino平台实现NURBS曲面与基岩、结构面更好的融合;结合有限元非线性分析方法,对大足石刻佛手模型在静力及动力作用下的位移、应力规律进行分析。研究结果表明:(1)精细化构建的佛手模型偏差值介于-3~3 cm之间,平均偏差为-2~1.5 mm,满足工程设计允许误差±5%。(2)自重荷载下佛手垂向位移沿五指方向(指尖指向手腕)各手指位移呈线性减小趋势,各指尖最大位移分别为0.46 mm、0.57 mm、0.48 mm、0.46 mm、0.44 mm。(3)地震荷载下佛手位移变化规律与输入的地震波波动有关,地震波输入前20 s内佛手位移、应力变化剧烈,分别于8.6 s、13.3 s达到其最大值,经波动后趋于稳定,应着重关注于食指前端潜在的破坏风险。研究方法为小尺度、悬臂式的石质文物建模及稳定性分析提供了思路。The establishment and stability study of the model of stone cultural relics is of great significance for the historical information of ancient cultural relics such as social culture and national characteristics.This paper takes Dazu stone carving Reclining Buddha's hand as an example,based on the three-dimensional spatial structure information of cultural relics,uses Geomagic built-in algorithm to achieve high-precision digital model reconstruction of the Buddha's hand,and achieves better integration of NURBS surface with bedrock and structural surface through Rhino platform;combined with finite element nonlinear analysis method,the displacement and stress patterns of Dazu stone carving Buddha's hand model under static and dynamic forces are analyzed.The results show that:(1)The deviation of the finely constructed Buddha's hand model ranges from-3 cm to 3 cm,with an average deviation of-2 mm to 1.5 mm,which meets the allowable error of±5%for engineering design.(2)The displacement of the Buddha's hand under self-weight load is linearly decreasing along the five fingers(fingertips pointing to the wrist),and the maximum displacement of each fingertip is 0.46 mm,0.57 mm,0.48 mm,0.46 mm and 0.44 mm,respectively.(3)The change of displacement of the Buddha's hand under seismic load is related to the fluctuation of the input seismic wave.The displacement and stress of the Buddha's hand changed drastically in the first 20 s of seismic wave input,reaching their maximum values at 8.6 s and 13.3 s,respectively,and stabilized after fluctuations,which should focus on the potential damage risk at the front end of the index finger.The research method provides ideas for modeling and stability analysis of small-scale,cantilevered stone artifacts.

关 键 词：大足石刻 精细化建模 稳定性 动力响应 

分 类 号：K879.27[历史地理—考古学及博物馆学] TU457[历史地理—历史学]