Modal parameter identification of Xi′an bell tower based on the wavelet and singular value theory
HU Weibing1, HOU Yanfang1,2, CHEN Zhuo1
1.School of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, China;
2.School of Civil Engineering Shaan’xi Polytechnic Institute, Xianyang 712000, China
Abstract:On the basis of the vibration monitoring under the strong noise environment excitation of the national key cultural relics protection site Xi'an Bell Tower, the paper used the natural excitation technique to replace the impulse response function with the inter-correlation function of the acceleration signal , which was recorded by sensors at different measuring points. The Cross-correlation function was analyzed then by means of selecting Wavelet function, wavelet scale, center frequency and bandwidth frequency. Phase angle of modules of wavelet transform coefficient and logarithmic derivative recognition frequency as well as damping ratio were also required to achieve the modal parameters of the building based on wavelet and singular value theory. The comparative analysis of the recognition results verified the feasibility of identifying the modal parameters of the ancient building wood structure based on wavelet and singular value theory, and provided reference for the protection and research of ancient buildings.
胡卫兵1,侯艳芳1,2,陈卓1. 基于小波和奇异值理论的西安钟楼模态参数识别[J]. 振动与冲击, 2020, 39(12): 242-248.
HU Weibing1, HOU Yanfang1,2, CHEN Zhuo1. Modal parameter identification of Xi′an bell tower based on the wavelet and singular value theory. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(12): 242-248.
[1] 张 岩, 杨 娜. 环境激励下古建筑木结构模态参数识别与分析[J]. 武汉理工大学学报, 2010(9):291-295.
ZHANG Yan, YANG Na. The structure modal parameter identification and analysis of environmental stimulus on the ancient timber structure [J]. Journal of Wuhan University of T echnology, 2010(9):291-295.
[2] 曾 建. 交通激励作用下西安钟楼动力特性分析[D]. 西安:西安建筑科技大学, 2013.
ZENG Jian. The dynamic characteristics analysis of Xi'an Bell Tower under traffic incentives [D]. Xi’an: Xi’an University of Architecture and Technology, 2013.
[3] 孟昭博, 袁 俊, 吴敏哲. 行驶车辆对西安钟楼木结构微振动影响的试验研究[J]. 西安建筑科技大学学报(自然科学版), 2009, 41(4):512-517.
MENG Zhao-bo, YUAN Jun, WU Min-zhe. Experiment investigation of micro-vibration in wooden structure of Xi'an Bell Tower caused by traffic vehicle [J]. Journal of Xi'an University of Architecture and Technology (Natural Science Edition),2009, 41(4):512-517.
[4] Park S A, Choi J S, Min K W. Dynamic Characteristics for Traditional Wooden Structure in Korea by Using Impact Hammer Test[J]. Procedia Engineering, 2011, 14(2259):477-484
[5] 纪晓东, 钱稼茹, 徐龙河. 模拟环境激励下结构模态参数识别试验研究[J]. 清华大学学报(自然科学版), 2006, 46(6):769-772.
JI Xiao-dong, QIAN Jia-ru, XU Long-he. Experimental study of modal parameter identification in simulated ambient-excited structure [J].Tsinghua University, Journal of Tsinghua University (Science and Technology), 2006, 46(6):769-772.
[6] 沈忆雨. 基于小波与SVD理论的木结构模态参数识别与环境影响研究[D]. 扬州大学, 2016.
SHEN Yi-yu. The modal parameter identification of timber structure based on the theory of wavelet and SVD under the nfluence of environment [D]. Yangzhou: Yangzhou University, 2016.
[7] 孙 鹏, 丁幼亮, 张劲泉,等. 基于Morlet小波变换的结构密集模态参数识别[J]. 东南大学学报(自然科学版), 2012, 42(2):339-345.
SUN Peng, DING You-liang, ZHANG Jinquan, et al. Modal identification of closely spaced modes based 0n M0rlet wavelet transform[J]. Journal of Southeast University (Natural Science Edition).
[8] 黄天立, 楼梦麟. 小波变换在密集模态结构参数识别中的应用[J]. 振动与冲击, 2006, 25(5):140-143.
HUANG Tian-li, LOU Meng-lin. Application of Wavelet Transform in Parameter Identification of Dense Modal Structures[J]. Journal of vibration and shock, 2006, 25(5):140-143.
[9] Vanlanduit S, Cauberghe B, Guillaume P, et al. Reduction of large frequency response function data sets using a robust singular value decomposition[J]. Computers & Structures, 2006, 84(12):808-822.
[10] 熊红霞, 刘沐宇, 刘可文. 基于奇异值分解和小波分析的结构模态参数识别[J]. 土木工程与管理学报, 2008, 25(2):64-68.
XIONG Hong-xia, LIU Mu-yu, LIU Ke-wen. Extraction of the structural modal parameters based on the singular value decomposition and wavelet transform[J]. Journal of Civil Engineering and Management, 2008, 25(2):64-68.
[11] 闵志华, 孙利民, 孙 智,等. 环境激励下基于小波变换和奇异值分解的结构模态参数识别[J]. 振动工程学报, 2009, 22(2):142-149.
MIN Zhi-hua, SUN Li-min, SUN Zhi, et al. Structural modal parameter identification using wavelet transform and singular value decomposition under ambient excitation [J]. Journal of Vibration Engineering, 2009, 22(2):142-149.
[12] 黄应来, 董大伟, 闫 兵. 密集模态分离及其参数识别方法研究[J]. 机械强度, 2009, 31(1):8-13.
HUANG Ying-lai DONG Da-wei YAN Bing. Study on closely spaced modes decomposition and modal parameter identification[J]. Journal of Mechanical Strength, 2009, 31(1):8-13.
[13] 滕 军, 朱焰煌, 周 峰, 顾 磊. 基于复Morlet小波变换的大跨空间结构模态参数识别研究[J]. 振动与冲击, 2009, 28(8):25-29.
TENG Jun, ZHU Yan-huang, ZHOU Feng, et al .Modal Parameter Identification of Large Span Spatial Structure Based on Complex Morlet Wavelet Transform[J]. Journal of vibration and shock, 2009, 28(8):25-29.
[14] Yan B, Miyamoto A. A Comparative Study of Modal Parameter Identification Based on Wavelet and Hilbert–Huang Transforms [J]. Computer-Aided Civil and Infrastructure Engineering, 2010, 21(1):9-23.