基于节点恢复力特性的木结构古建筑非线性地震反应分析

Nonlinear seismic response analysis of ancient timber buildings based on node resilience characteristics

摘要

木结构古建筑在地震作用下的响应特征分析是研究结构抗震性能和揭示震害损伤规律的基础。为准确反映木结构古建筑在地震作用下的响应特点，提出了能够反映结构关键节点恢复力特性的节点组合单元，结合木结构关键节点拟静力试验，对比了有限元模型和试验在滞回曲线方面的异同点，验证了组合单元的合理性。本文选取西安钟楼为研究对象进行整体结构动力时程分析，并通过振动台试验进一步验证建模方法的有效性。结果表明，基于恢复力特性的节点组合单元模型能较好地反映木结构古建筑关键节点的滞回性能和整体结构的动力响应，主要参数基本一致。研究结果可以简化复杂木结构古建筑的动力分析，在计算精度和计算效率之间寻找到一个平衡点，为木结构的抗震性能评估和修缮加固提供一定的参考。

Abstract

The response characteristics of ancient timber buildings under earthquake are the basis for analyzing the seismic performance of the structure and revealing the laws of damage caused by earthquake. To accurately reflect the response characteristics of ancient timber buildings under earthquake, combination elements that reflect the restoring force characteristics of key joints in the structure were proposed. Combining with quasi-static tests of key joints in timber structures, the similarities and differences between the finite element model and the experiment in terms of the hysteresis curve were compared, and the rationality of the combination element was also verified. Subsequently, Xi’an Bell Tower was selected as the research object for overall structural dynamic time history analysis, and the effectiveness of the modeling method was further verified through a shaking table test. The results show that the joint combination element model based on the restoring force characteristics can better reflect the hysteresis performance of key joints in ancient timber buildings and the dynamic response of the overall structure, with the main parameters being basically the same. The research results can simplify the dynamic analysis of complex ancient timber buildings, finding a balance point between calculation accuracy and calculation efficiency. It provides a certain reference for the seismic performance evaluation and repair and reinforcement of timber structures.

关键词

恢复力特性 / 木结构古建筑 / 有限元动力分析 / 西安钟楼 / 振动台试验

Key words

resilience characteristics / ancient timber building / finite element dynamic analysis / Xi’an Bell Tower / shaking table test

参考文献

[1] YIN W D, YAMAMOTO H, YIN M F, et al. Estimating the volume of large-size wood parts in historical timber-frame buildings of China: Case study of imperial palaces of the Qing dynasty in Shenyang[J]. Journal of Asian Architecture and Building Engineering, 2012, 11(2): 321-326.

[2] 王龙, 郑建国, 钱春宇, 等 . 古建筑抗震与防振技术研究现状及展望[J]. 自然灾害学报, 2024, 33(2): 1-17.

[3] WANG Long, ZHENG Jianguo, QIAN Chunyu, et al. Present situation and prospect on seismic and anti-vibration technology of ancient buildings[J]. Journal of Natural Disasters, 2024, 33(2): 1-17. (in Chinese)

[4] 杨庆山 . 古建筑木结构的承载及抗震机理[J]. 土木与环境工程学报(中英文), 2022, 44(2): 1-9.

[5] YANG Qingshan . Load-bearing and aseismic mechanism of traditional wooden structures[J]. Journal of Civil and Environmental Engineering, 2022, 44(2): 1-9. (in Chinese)

[6] 高大峰, 张辉, 吴冬冬, 等 . 基于多地震动强度参数的中国多层木结构古建筑地震易损性研究[J]. 地震工程与工程振动, 2019, 39(3): 41-51.

[7] GAO Dafeng, ZHANG Hui, WU Dongdong, et al. Research on seismic fragility of ancient Chinese timber structures with multi-story based on multi-ground motion intensity parameter[J]. Earthquake Engineering and Engineering Dynamics, 2019, 39(3): 41-51. (in Chinese)

[8] 周中一, 徐智凌, 王涛, 等 . 单檐庑殿古建筑模拟地震振动台试验研究[J]. 地震工程与工程振动, 2021, 41(3): 64-74.

[9] ZHOU Zhongyi, XU Zhiling, WANG Tao, et al. Shaking table test of single eave ship roof ancient building[J]. Earthquake Engineering and Engineering Dynamics, 2021, 41(3): 64-74. (in Chinese)

[10] 薛建阳, 许丹, 任国旗, 等 . 传统民居穿斗式木构架抗震性能振动台试验研究[J]. 土木工程学报, 2019, 52(12): 1-10.

[11] XUE Jianyang, XU Dan, REN Guoqi, et al. Shake table test on seismic performance of column and Tie wooden structure in traditional residence[J]. China Civil Engineering Journal, 2019, 52(12): 1-10. (in Chinese)

[12] 高大峰, 刘静, 李飞, 等 . 西安城墙永宁门箭楼振动台试验研究[J]. 地震工程与工程振动, 2014, 34(5): 140-149.

[13] GAO Dafeng, LIU Jing, LI Fei, et al. The researches on shaking table test of Yongning Gate embrasure watch-tower of Xi’an City wall[J]. Earthquake Engineering and Engineering Dynamics, 2014, 34(5): 140-149. (in Chinese)

[14] 戴必辉, 陶忠, 高永林, 等 . 漾濞6.4级地震受损穿斗木结构农房振动台试验[J]. 地震工程与工程振动, 2023, 43(5): 55-68.

[15] DAI Bihui, TAO Zhong, GAO Yonglin, et al. Shaking table test of damaged Chuan-Dou timber structure rural houses in Yangbi M_S6.4 earthquake [J]. Earthquake Engineering and Engineering Dynamics, 2023, 43(5): 55-68. (in Chinese)

[16] 吴亚杰, 孟威, 王燚, 等 . 基于纤维梁柱单元的古建筑木柱空间受力分析模型[J]. 西安建筑科技大学学报(自然科学版), 2024, 56(5): 723-729.

[17] WU Yajie, MENG Wei, WANG Yi, et al. Spatial analysis model for traditional timber columns based on fiber beam-column elements[J]. Journal of Xi’an University of Architecture & Technology (Natural Science Edition), 2024, 56(5): 723-729. (in Chinese)

[18] 马林林, 薛建阳, 张锡成 . 残损古建筑木结构的地震易损性分析[J]. 振动工程学报, 2023, 36(5): 1390-1401.

[19] MA Linlin, XUE Jianyang, ZHANG Xicheng . Seismic vulnerability analysis of damaged ancient timber structures[J]. Journal of Vibration Engineering, 2023, 36(5): 1390-1401. (in Chinese)

[20] 白福玉, 朱绪港, 隋䶮, 等 . 单围柱重檐攒尖木结构动力特性试验及地震响应分析[J]. 地震工程与工程振动, 2023, 43(4): 70-80.

[21] BAI Fuyu, ZHU Xugang, SUI Yan, et al. Dynamic characteristic test and seismic response analysis of the wooden structure with single circle of pillars and double pyramidal roofs[J]. Earthquake Engineering and Engineering Dynamics, 2023, 43(4): 70-80. (in Chinese)

[22] 吴亚杰, 谢启芳, 林和寿, 等 . 多层古建筑木结构柱脚节点力学性能研究[J]. 工程力学, 2024, 41(8): 201-210.

[23] WU Yajie, XIE Qifang, LIN Heshou, et al. Mechanical properties of column foot joints in multi-storey traditional Chinese timber structures[J]. Engineering Mechanics, 2024, 41(8): 201-210. (in Chinese)

[24] 王龙, 钱春宇, 李俊连, 等 . 传统木结构柱脚节点力学模型及有限元模型研究[J]. 建筑结构, 2023, 53(8): 132-136.

[25] WANG Long, QIAN Chunyu, LI Junlian, et al. Study on mechanical model and finite element model of column base joint in traditional timber structure[J]. Building Structure, 2023, 53(8): 132-136. (in Chinese)

[26] 潘毅, 安仁兵, 陈建, 等 . 基于摇摆柱的古建筑木结构柱脚节点力学模型研究[J]. 建筑结构学报, 2022, 43(6): 196-206.

[27] PAN Yi, AN Renbing, CHEN Jian, et al. Study on mechanical model of column footing in ancient timber structure based on rocking column[J]. Journal of Building Structures, 2022, 43(6): 196-206. (in Chinese)

[28] 贺俊筱, 王娟, 杨庆山 . 古建筑木结构柱脚节点受力性能试验研究[J]. 建筑结构学报, 2017, 38(8): 141-149.

[29] HE Junxiao, WANG Juan, YANG Qingshan . Mechanical property of column footing joint in traditional wooden structure by quasi-static test[J]. Journal of Building Structures, 2017, 38(8): 141-149. (in Chinese)

[30] 贺俊筱, 王娟, 杨庆山 . 摇摆状态下古建筑木结构木柱受力性能分析及试验研究[J]. 工程力学, 2017, 34(11): 50-58.

[31] HE Junxiao, WANG Juan, YANG Qingshan . Theoretical and experimental analysis on mechanical behavior of column in traditional tlmbcr structure during rocking[J]. Engineering Mechanics, 2017, 34(11): 50-58. (in Chinese)

[32] 陈春超 . 古建筑木结构整体力学性能分析和安全性评价[D]. 南京: 东南大学, 2016.

[33] CHEN Chunchao . Integral mechanics property analysis and safety evaluation of ancient timber structures[D]. Nanjing: Southeast University, 2016. (in Chinese)

[34] 李桂荣, 郭恩栋, 朱敏 . 中国古建筑抗震性能分析[J]. 地震工程与工程振动, 2004, 24(6): 68-72.

[35] LI Guirong, GUO Endong, ZHU Min . Analysis of seismic characteristics of Chinese ancient buildings[J]. Earthquake Engineering and Engineering Dynamics, 2004, 24(6): 68-72. (in Chinese)

[36] 姚侃 . 木结构古建筑的结构特性及抗震性能研究[D]. 西安: 西安建筑科技大学, 2006.

[37] YAO Kan . Study on the structural properties and seismic performance of chinese historical timber buildings[D]. Xi’an: Xi’an University of Architecture and Technology, 2006. (in Chinese)

[38] 张锡成 . 地震作用下木结构古建筑的动力分析[D]. 西安: 西安建筑科技大学, 2013.

[39] ZHANG Xicheng . Dynamic analysis of ancient timber-frame buildings under seismic excitations[D]. Xi’an: Xi’an University of Architecture and Technology, 2013. (in Chinese)

[40] 潘毅, 安仁兵, 游文龙 . 古建筑木结构榫卯节点力学性能研究进展[J]. 建筑结构学报, 2024, 45(7): 226-241.

[41] PAN Yi, AN Renbing, YOU Wenlong . Review on mechanical performance of mortise-tenon joints in traditional timber structures[J]. Journal of Building Structures, 2024, 45(7): 226-241. (in Chinese)

[42] 袁建力, 杨韵 . 高烈度区古建筑木构架的拉结加固方法[J]. 地震工程与工程振动, 2023, 43(4): 63-69.

[43] YUAN Jianli, YANG Yun . Connection strengthening method for timber frame of ancient buildings in high seismic region[J]. Earthquake Engineering and Engineering Dynamics, 2023, 43(4): 63-69. (in Chinese)

[44] 张锡成, 韩乙楠, 吴晨伟, 等 . 殿堂式古建筑木结构的离散元模拟与倒塌易损性分析[J]. 振动工程学报, 2020, 33(6): 1150-1161.

[45] ZHANG Xicheng, HAN Yinan, WU Chenwei, et al. Discrete element simulation and collapse vulnerability analysis of Chinese ancient timber-frame structure[J]. Journal of Vibration Engineering, 2020, 33(6): 1150-1161. (in Chinese)

[46] 徐娇, 朱占元, 梁危, 等 . 武侯祠桂荷楼穿斗木构架透榫节点抗震性能研究[J]. 地震工程与工程振动, 2021, 41(1): 140-150.

[47] XU Jiao, ZHU Zhanyuan, LIANG Wei, et al. Study on seismic behavior of the mortise-tenon joint of Chuan-Dou type timber frames of Guihe building in Wuhou shrine[J]. Earthquake Engineering and Engineering Dynamics, 2021, 41(1): 140-150. (in Chinese)

[48] 王明谦, 宋晓滨, 罗烈 . 木销半榫节点转动性能试验研究与有限元分析[J]. 建筑结构学报, 2021, 42(3): 193-201.

[49] WANG Mingqian, SONG Xiaobin, LUO Lie . Experimental study and finite element analysis of rotational behavior of wood pegged semimortise and tenon connections[J]. Journal of Building Structures, 2021, 42(3): 193-201. (in Chinese)

[50] LACOURT P A, CRISAFULLI F J, MIRASSO, et al. Finite element modelling of hysteresis, degradation and failure of dowel type timber joints[J]. Engineering Structures, 2016, 123: 89-96. (in Chinese)

[51] BLASETTI A S, HOFFMAN R M, DINEHART D W . Simplified hysteretic finite-element model for wood and viscoelastic polymer connections for the dynamic analysis of shear walls[J]. Journal of Structural Engineering, 2008, 134(1): 77-86.

[52] XIE Q F, ZHANG L P, ZHOU W J, et al. Cyclic behavior of timber mortise-tenon joints strengthened with shape memory alloy: Experiments and moment-rotation model[J]. International Journal of Architectural Heritage, 2019, 13(8): 1209-1222.

[53] XIE Q F, ZHANG L P, WANG L, et al. Lateral performance of traditional Chinese timber frames: Experiments and analytical model[J]. Engineering Structures, 2019, 186: 446-455.

[54] 薛建阳, 宋德军, 吴晨伟, 等 . 角科斗栱轴压与抗震性能试验研究及数值分析[J]. 建筑结构学报, 2024, 45(3): 174-186.

[55] XUE Jianyang, SONG Dejun, WU Chenwei, et al. Experimental study and numerical analysis on axial compressive and seismic behavior of Dou-Gong bracket at corner[J]. Journal of Building Structures, 2024, 45(3): 174-186. (in Chinese)

[56] 谢启芳, 张利朋, 向伟, 等 . 竖向荷载作用下叉柱造式斗栱节点受力性能试验研究与有限元分析[J]. 建筑结构学报, 2018, 39(9): 66-74.

[57] XIE Qifang, ZHANG Lipeng, XIANG Wei, et al. Experimental study and finite element analysis of Dou Gong joints built with fork column under vertical loading[J]. Journal of Building Structures, 2018, 39(9): 66-74. (in Chinese)

[58] 薛建阳, 宋德军, 吴晨伟, 等 . 出踩与面宽方向柱头科斗栱抗震性能对比试验及数值分析[J]. 土木工程学报, 2024, 57(2): 11-24.

[59] XUE Jianyang, SONG Dejun, WU Chenwei, et al. Comparative test and numerical analysis on seismic behavior of Zhutouke Dougong bracket in overhanging and width directions[J]. China Civil Engineering Journal, 2024, 57(2): 11-24. (in Chinese)

[60] 刘杏杏, 陆伟东, 程小武, 等 . 传统木结构建筑斗栱力学性能研究进展[J]. 南京工业大学学报(自然科学版), 2021, 43(3): 284-293.

[61] LIU Xingxing, LU Weidong, CHENG Xiaowu, et al. Research progress on mechanical properties of bracket set of traditional timber structures[J]. Journal of Nanjing University of Technology (Natural Science Edition), 2021, 43(3): 284-293. (in Chinese)

[62] 隋, 赵鸿铁, 薛建阳, 等 . 古建木构枓栱侧向刚度的试验研究[J]. 世界地震工程, 2009, 25(4): 145-147.

[63] SUI Yan, ZHAO Hongtie, XUE Jianyang, et al. Experiment study on lateral stiffness of an ancient wooden Dougong[J]. World Earthquake Engineering, 2009, 25(4): 145-147. (in Chinese)

[64] 周乾, 闫维明, 关宏志, 等 . 古建嵌固墙体对木构架抗震性能的影响分析: 以太和殿为例[J]. 四川大学学报(工程科学版), 2014(1): 81-86.

[65] ZHOU Qian, YAN Weiming, GUAN Hongzhi, et al. Influence of embedded walls to seismic performances of timber structure of Chinese ancient timber buildings: Taking Taihe Palace as example[J]. Journal of Sichuan University (Engineering Science Edition), 2014(1): 81-86. (in Chinese)

[66] 袁建力 . 墙体参与工作的木构架古建筑抗震分析方法[J]. 建筑结构学报, 2018, 39(9): 45-52.

[67] YUAN Jianli . Seismic analysis method considering wall participation for ancient timber frame buildings[J]. Journal of Building Structures, 2018, 39(9): 45-52. (in Chinese)

[68] XIE Q F, WANG L, LI S Y, et al. Influence of wood infill walls on the seismic performance of Chinese traditional timber structure by shaking table tests[J]. Bulletin of Earthquake Engineering, 2020, 18(10): 5009-5029.

[69] TANAHASHI H, SUZUKI Y . Elasto-plastic pasternak model simulation of static and dynamic loading tests of traditional wooden frames[C] // The 11th World Conference on Timber Engineering. Trentino, Italy: Trees and Timber Institute, National Research Council, 2010: 3309-3318.

[70] 谢启芳, 王龙, 张利朋, 等 . 西安钟楼木结构模型振动台试验研究[J]. 建筑结构学报, 2018, 39(12): 128-138.

[71] XIE Qifang, WANG Long, ZHANG Lipeng, et al. Shaking table tests on wooden structure model of Xi’an Bell Tower[J]. Journal of Building Structures, 2018, 39(12): 128-138. (in Chinese)

[72] 潘毅, 安仁兵, 王晓玥, 等 . 古建筑木结构透榫节点力学模型研究[J]. 土木工程学报, 2020, 53(4): 61-70, 82.

[73] PAN Yi, AN Renbing, WANG Xiaoyue, et al. Study on mechanical model of through-tenon joints in ancient timber structures[J]. China Civil Engineering Journal, 2020, 53(4): 61-70, 82. (in Chinese)

[74] 陈庆军, 何永鹏, 邱凯祥, 等 . 广府古建筑木结构箍头榫节点弯矩-转角关系理论分析[J]. 湖南大学学报(自然科学版), 2019, 46(1): 65-75.

[75] CHEN Qingjun, HE Yongpeng, QIU Kaixiang, et al. Theoretical analysis on moment-rotation relationship of hoop head tenon-mortise joint for ancient timber structure in Guangfu[J]. Journal of Hunan University (Natural Sciences), 2019, 46(1): 65-75. (in Chinese)

[76] 谢启芳, 王龙, 郑培君, 等 . 传统木结构单向直榫节点转动弯矩-转角关系理论分析[J]. 湖南大学学报(自然科学版), 2017, 44(7): 111-117.

[77] XIE Qifang, WANG Long, ZHENG Peijun, et al. Theoretical analysis on moment-rotation relationship of straight mortise-tenon joints for Chinese traditional wooden buildings[J]. Journal of Hunan University (Natural Sciences), 2017, 44(7): 111-117. (in Chinese)

[78] 谢启芳, 杜彬, 张风亮, 等 . 古建筑木结构燕尾榫节点弯矩-转角关系理论分析[J]. 工程力学, 2014, 31(12): 140-146.

[79] XIE Qifang, DU Bin, ZHANG Fengliang, et al. Theoretical analysis on moment-rotation relationship of dovetail joints for Chinese ancient timber structure buildings[J]. Engineering Mechanics, 2014, 31(12): 140-146. (in Chinese)

[80] 黄思达, 喻梦哲 . 西安钟楼尺度规律探讨[J]. 华中建筑, 2018, 36(4): 111-116.

[81] HUANG Sida, YU Mengzhe . Design manners of Xi’an bell tower[J]. Huazhong Architecture, 2018, 36(4): 111-116. (in Chinese)

[82] 凌怀泉, 薛建阳, 宋德军, 等 . 平身科斗栱节点侧向荷载-位移计算模型[J]. 西安建筑科技大学学报(自然科学版), 2024, 56(5): 701-706.

[83] LING Huaiquan, XUE Jianyang, SONG Dejun, et al. Lateral load-displacement calculation model for Pingshen-ke Dou-Gong bracket[J]. Journal of Xi’an University of Architecture & Technology (Natural Science Edition), 2024, 56(5): 701-706. (in Chinese)

[84] 王龙 . 传统木结构关键部件恢复力模型与结构抗震分析研究[D]. 西安: 西安建筑科技大学, 2019.

[85] WANG Long . Research on hysteretic model of key components and structural seismic analysis in traditional timber structures[D]. Xi’an: Xi’an University of Architecture and Technology, 2019. (in Chinese)

基金资助

国家自然科学基金项目(52178303)

国家自然科学基金项目(52408347)

国机集团青年科技基金项目(QNJJ-PY-2024-19)

陕西省“高层次人才特殊支持计划”科技创新领军人才项目(TZJH001)