基于等效模型的砖石古塔有限元模型修正方法

PDF(2024 KB)

振动与冲击 ›› 2024, Vol. 43 ›› Issue (3) : 105-109.

论文

杨庆山，张源浩，刘纲，王晖

作者信息 +

Finite element model fast correction method for ancient masonry pagoda based on equivalent model

YANG Qingshan, ZHANG Yuanhao, LIU Gang, WANG Hui

Author information +

文章历史 +

摘要

针对砖石古塔实体有限元模型节点众多导致修正效率低下问题，提出了一种将实体模型和杆系模型相结合的有限元模型快速修正方法。基于古塔结构的测试输出信号，使用随机子空间法识别了塔的自振频率。使用整体连续式方法建立了ABAQUS有限元模型，基于实测结果，使用萤火虫算法修正了塔的弹性模量、密度。修正后的有限元模型的计算结果与实测结果对比，能够较好吻合，说明修正后的模型可靠，可以作为后续抗震性能分析的基础。

Abstract

In view of the low efficiency of the revision due to the numerous nodes of the solid finite element model of the ancient masonry pagoda, a fast revision method of the finite element model combining the solid model and the cantilever model is proposed. Based on the test output signal, the natural frequencies were obtained by using Stochastic Subspace Identification method. Based on ABAQUS platform, the finite element model is established by using the overall continuous method, based on the measured results, the Firefly Algorithm is used to modify the elastic modulus and density of the pagoda. The calculated results of the modified finite element model are close to the measured results, it shows that the modified model is reliable and can be used as the basis for subsequent seismic performance analysis.

导出引用

杨庆山，张源浩，刘纲，王晖. 基于等效模型的砖石古塔有限元模型修正方法[J]. 振动与冲击, 2024, 43(3): 105-109

YANG Qingshan, ZHANG Yuanhao, LIU Gang, WANG Hui. Finite element model fast correction method for ancient masonry pagoda based on equivalent model[J]. Journal of Vibration and Shock, 2024, 43(3): 105-109

参考文献

[1] 陈策. 砖石古塔加固施工风险识别及评估模型研究[D].西安建筑科技大学,2017. Chen Ce. Research on the construction risk recognition and evaluation model of brick masonry in ancient pagoda. [D]. Xi'an University of Architecture and Technology, 2017. [2] 张国伟. 古建筑的健康监测与保护研究[D].聊城大学,2015. Zhang Guo-wei. The health monitoring and conservation research of ancient architectural. [D]. Liaocheng university, 2015. [3] 范冠先. 考虑上部结构与地基共同作用泰塔稳定性分析及纠偏技术研究[D].西安建筑科技大学,2017. Fan Guan-xian. Research on the Tai tower’s Stability and Rectifying Technology Based on the Interaction between Upper Structure and Foundation [D]. Xi'an University of Architecture and Technology, 2017. [4] 乾勇. 钢箍加固砖石古塔砌体墙抗震性能试验研究[D].扬州大学,2012. Qian Yong. Experimental research on seismic behavior of masonry pagoda walls strengthened by hoop reinforcement [D]. Yangzhou university, 2012. [5] 汪建伟. 砖石古塔的安全性评估方法研究[D].浙江大学,2017. Wang Jian-wei. The research on method of safety appraisal of ancient masonry pagodas [D]. Zhejiang University, 2017. [6] 王铁成,芦聪慧,赵海龙,等.古塔平移前后结构动力响应有限元对比分析[J].建筑结构学报,2016,37(S1):299-306. Wang Tie-cheng, Lu Cong-hui, Zhao Hai-long, et al. Contrastive analysis of pagoda structure’s dynamic response before and after translation by finite element method [J]. Journal Of Building Structures, 2016,37(S1):299-306. [7] 毛筱霏,李献,张艳艳,等.银川海宝塔动力特性测试及抗震性能分析[J].地震工程学报,2020,42(05):1262-1269. Mao Xiao-fei, Li Xian, Zhang Yan-yan, et al. Dynamic characteristic test and seismic performance analysis of Haibap pagoda in YinChuan city [J]. China Earthguake Engineering Journal, 2020,42(05):1262-1269. [8] 夏倩,赵瑾,王德法,等.列车激励下基于动力特性分析的辽代古塔振动规律研究[J].建筑结构,2019,49(14):89-95. Xia Qian, Zhao Jin, Wang De-fa, et al. Research on vibration law of ancient pagoda in Liao dynasty based on dynamic characteristic analysis under train excitation [J]. Journal of Building Structure, 2019,49(14):89-95. [9] 卢俊龙,李凯,李嘉怿.某宋代砖塔结构整体损伤识别分析[J].防灾减灾工程学报,2019,39(01):61-66. Lu Jun-long, Li Kai, Li Jia-yi. Analysis of integrated damage for a masonry pagoda built in Song dynasty [J]. journal of disaster prevention and mitigation engineering, 2019,39(01):61-66. [10] 谢伟平,刘少武,许暮迪.地铁列车荷载作用下砖石古塔振动响应研究[J].铁道科学与工程学报,2022,19(03):798-806. Xie Wei-ping, Liu Shao-wu, Xu Mu-di. Vibration response of ancient masonry pagoda under metro train load [J]. Journal of Railway Science and Engineering, 2022,19(03):798-806. [11] 杨娜,刘威,张淑慧,等.基于环境激励测试的开元寺塔动力性能分析[J].土木工程学报,2021,54(09):79-87. Yang Na, Liu Wei, Zhang Shu-hui, et al. Dynamic performance analysis of Kaiyuan pagoda based on ambient vibration test [J]. China Civil Engineering Journal, 2021,54(09):79-87. [12] 蔡辉腾,郑师春,李云珠,等.泉州镇国塔抗震能力探讨[J].建筑结构学报,2007(S1):84-89. Cai Hui-teng, Zheng shi-chun, Li Yun-zhu, et al. An exploration on a seismic capability of Quanzhou-Zhenguo pagoda [J]. Journal Of Building Structures, 2007(S1):84-89. [13] GB 50868-2013, 建筑工程容许振动标准[S]. GB 50868-2013, Allowable vibration standard for building engineering [S]. [14] GB/T 50452-2008, 古建筑防工业振动技术规范[S]. GB/T 50452-2008, Technical code for industrial vibration protection of ancient buildings [S]. [15] M.Smail, M.Thomas, A.Lakis. Assessment of Optimal ARMA Model orders for Modal Analysis[J]. Mechanical Systems and Signal Processing, 1999,13(5):803-815. [16] N. Larbi, J. Lardies. Experimental Modal Analysis of a Structure Excited by a Random Force [J]. Mechanical Systems and Signal Processing, 2000,14(2):181-192. [17] 陈太聪,邓晖,罗小虎.金鳌洲塔动力测试与特性的研究[J].振动与冲击,2010,29(04):193-196+240. Chen Tai-cong, Deng Hui, Luo Xiao-hu. Study on Dynamic Test and Characteristics of Jinaozhou Tower [J]. Journal Of Vibration And Shock, 2010,29(04):193-196+240. [18] 宣家棋. 环境振动对砖石古塔的影响[D].浙江大学,2018. Xuan Jiaqi. The influence of environmental vibration on ancient brick tower. [D]. Zhejiang University, 2018. [19] GB 50003-2011, 砌体结构设计规范[S]. GB 50003—2011 Code for design of masonry structures［S］． Beijing: China Architecture & Building Press，2011. [20] 陈平,姚谦峰,赵冬.西安大雁塔抗震能力研究[J].建筑结构学报,1999(01):46-49. Chen Ping, Yao Qian-feng, Zhao Dong. Study on Seismic Capacity of the Great Wild Goose Pagoda [J]. Journal Of Building Structures, 1999(01):46-49. [21] 封周权,王文赞,华旭刚,等.基于模态参数与改进萤火虫算法的结构模型修正[J].湖南大学学报(自然科学版),2022,49(11):252-259. Feng Zhou-quan, Wang Wen-zan, Hua Xu-gang, et al. Structural model updating based on modal parameters and modified firefly algorithm [J]. Journal of Hunan University(Natural Sciences), 2022,49(11):252-259. [22] 刘纲,陈奇,雷振博,等.基于改进萤火虫算法的有限元模型修正[J].工程力学,2022,39(07):1-9. Liu Gang, Chen Qi, Lei Zhen-bo, et al. Finite element model updating method based on improved firefly algorithm [J]. Engineering Mechanics, 2022,39(07):1-9.