Structural modal parameter identification method based on variational mode decomposition and singular value decomposition

SHEN Jian; ZHAO Wen-tao; DING Jian-ming

doi:10.19818/j.cnki.1671-1637.2019.06.008

Volume 19 Issue 6

Turn off MathJax

Article Contents

Article Navigation > Journal of Traffic and Transportation Engineering > 2019 > 19(6): 77-90

SHEN Jian, ZHAO Wen-tao, DING Jian-ming. Structural modal parameter identification method based on variational mode decomposition and singular value decomposition[J]. Journal of Traffic and Transportation Engineering, 2019, 19(6): 77-90. doi: 10.19818/j.cnki.1671-1637.2019.06.008

Citation:

SHEN Jian, ZHAO Wen-tao, DING Jian-ming. Structural modal parameter identification method based on variational mode decomposition and singular value decomposition[J]. Journal of Traffic and Transportation Engineering, 2019, 19(6): 77-90. doi: 10.19818/j.cnki.1671-1637.2019.06.008

Citation:

PDF( 3892 KB)

Structural modal parameter identification method based on variational mode decomposition and singular value decomposition

doi: 10.19818/j.cnki.1671-1637.2019.06.008

1.
Research Institute of Science and Technology, China Railway Eryuan Engineering Group Co., Ltd., Chengdu 610031, Sichuan, China
2.
State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

More Information

Author Bio:
SHEN Jian (1981-), male, associate professor, 5435918@qq.com
Received Date: 2019-05-30
Publish Date: 2019-12-25

Abstract

Abstract

To obtain the structural natural frequency, damping ratio and vibration mode, a new modal parameter identification method was proposed by combining the variational mode decomposition with the singular value decomposition. Based on the existing time-frequency parameter identification method, the system frequency response function was estimated according to the measured impulse excitations and accelerations. The inverse Fourier transform was applied to the system frequency response function to obtain the impulse response function. The intrinsic mode components corresponding to the structural natural frequencies were obtained by executing the variational mode decomposition on the impulse response function for each measuring point. The natural frequencies of intrinsic mode components were extracted, and the intrinsic mode components close to the natural frequency were used as the row vectors to construct the singular value decomposition matrix, and the singular value decomposition was performed on the constructed matrix. The left and right singular value vectors reconstructed by the maximum singular values were used to identify the vibration mode, natural frequency and damping ratio of the structure. The effectiveness of the proposed modal parameter identification method was verified through a four-degree-of-freedom mass-spring-damping theoretical model and a hammering modal test on the vehicle body crossbeam. Research result indicates that in the parameter identification of four-degree-of-freedom theoretical model, the maximum relative errors of system natural frequencies and damping ratios between the identified and theoretical values are no more than 0.025% and 1.490%, respectively. The modal assurance criterions of 1 to 4-order vibration modes between the theoretical and identified values are 0.999, 1.000, 0.999 and 0.999, respectively. In the hammering modal test on the vehicle body crossbeam, the maximum relative errors of natural frequency and damping ratio between the results identified by the proposed method and the theoretical results are not more than 1.57% and 1.47%, respectively, and the theoretical and identified vibration modes have the same trend. Therefore, the proposed method can effectively identify the structural modal parameters.
- vehicle engineering,
- structure,
- modal parameter,
- impulse response function,
- variational mode decomposition,
- singular value decomposition,
- parameter identification

FullText(HTML)

References(30)

References

[1]	卢兆刚, 郝志勇, 杨陈, 等. 基于模态分析及优化设计技术的低噪声齿轮室罩的设计[J]. 振动与冲击, 2010, 29(10): 239-243. doi: 10.3969/j.issn.1000-3835.2010.10.051 LU Zhao-gang, HAO Zhi-yong, YANG Chen, et al. Design on low noise gear-cover based on modal analysis and optimization design technology[J]. Journal of Vibration and Shock, 2010, 29(10): 239-243. (in Chinese). doi: 10.3969/j.issn.1000-3835.2010.10.051
[2]	ZANG C, SCHWINGSHACKL C, EWIBS D J. Model validation for structural dynamic analysis: an approach to the Sandia structural dynamics challenge[J]. Computer Methods in Applied Mechanics and Engineering, 2008, 197(29-32): 2645-2659. doi: 10.1016/j.cma.2007.07.034
[3]	韩伟, 贾启芬, 邱家俊. 异步电机定子的振动与模态分析[J]. 振动与冲击, 2012, 31(17): 91-94. doi: 10.3969/j.issn.1000-3835.2012.17.015 HAN Wei, JIA Qi-fen, QIU Jia-jun. Vibration and modal analysis for stator of an induction motor[J]. Journal of Vibration and Shock, 2012, 31(17): 91-94. (in Chinese). doi: 10.3969/j.issn.1000-3835.2012.17.015
[4]	KOUREHLI S S, BAGHERI A, AMIRI G G, et al. Structural damage detection using incomplete modal data and incomplete static response[J]. KSCE Journal of Civil Engineering, 2013, 17(1): 216-223. doi: 10.1007/s12205-012-1864-2
[5]	AU F T K, CHENG Y S, THAM L G, et al. Structural damage detection based on a micro-genetic algorithm using incomplete and noisy modal test data[J]. Journal of Sound and Vibration, 2003, 259(5): 1081-1094. doi: 10.1006/jsvi.2002.5116
[6]	BAYRAKTAR A, ALTUNISIK A C, TÜRKER T. Structural condition assessment of Birecik Highway Bridge using operational modal analysis[J]. International Journal of Civil Engineering, 2016, 14(1): 35-46. doi: 10.1007/s40999-016-0010-9
[7]	DOEBLING S W, FARRAR C R, PRIME M B, et al. Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review[R]. Los Alamos: Los Alamos National Laboratory, 1996.
[8]	董冠华, 殷勤, 刘蕴, 等. 基于模态分析理论的结合部动刚度辨识[J]. 振动与冲击, 2017, 36(20): 125-131. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201720020.htm DONG Guan-hua, YIN Qin, LIU Yun, et al. A study on the identification of joints dynamic stiffness based on modal analysis[J]. Journal of Vibration and Shock, 2017, 36(20): 125-131. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201720020.htm
[9]	REYNDERS E. System identification methods for (operational) modal analysis: review and comparison[J]. Archives of Computational Methods in Engineering, 2012, 19(1): 51-124. doi: 10.1007/s11831-012-9069-x
[10]	段虎明, 秦树人, 李宁. 频率响应函数估计方法综述[J]. 振动与冲击, 2008, 27(5): 48-52. doi: 10.3969/j.issn.1000-3835.2008.05.013 DUAN Hu-ming, QIN Shu-ren, LI Ning. Measurement methods review for frequency response function[J]. Journal of Vibration and Shock, 2008, 27(5): 48-52. (in Chinese). doi: 10.3969/j.issn.1000-3835.2008.05.013
[11]	罗钧, 刘纲, 黄宗明. 基于随机减量法的非平稳激励下模态参数识别[J]. 振动与冲击, 2015, 34(21): 19-24, 64. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201521005.htm LUO Jun, LIU Gang, HUANG Zong-ming. Modal parametric identification under non-stationary excitation based on random decrement method[J]. Journal of Vibration and Shock, 2015, 34(21): 19-24, 64. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201521005.htm
[12]	杨佑发, 李帅, 李海龙. 环境激励下结构模态参数识别的改进ITD法[J]. 振动与冲击, 2014, 33(1): 194-199. doi: 10.3969/j.issn.1000-3835.2014.01.033 YANG You-fa, LI Shuai, LI Hai-long. Improved ITD method for structural modal parameter identification under ambient excitation[J]. Journal of Vibration and Shock, 2014, 33(1): 194-199. (in Chinese). doi: 10.3969/j.issn.1000-3835.2014.01.033
[13]	蒲黔辉, 洪彧, 王高新, 等. 快速特征系统实现算法用于环境激励下的结构模态参数识别[J]. 振动与冲击, 2018, 37(6): 55-60. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201806009.htm PU Qian-hui, HONG Yu, WANG Gao-xin, et al. Fast eigensystem realization algorithm based structural modal parameters identification for ambient tests[J]. Journal of Vibration and Shock, 2018, 37(6): 55-60. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201806009.htm
[14]	马维金, 熊诗波. 基于LSCE算法和FDD算法的振动筛动态特性研究[J]. 振动、测试与诊断, 2003, 23(3): 195-198. doi: 10.3969/j.issn.1004-6801.2003.03.011 MA Wei-jin, XIONG Shi-bo. Modal parameters identification of vibrant screen based on LSCE and FDD techniques[J]. Journal of Vibration, Measurement and Diagnosis, 2003, 23(3): 195-198. (in Chinese). doi: 10.3969/j.issn.1004-6801.2003.03.011
[15]	杨和振, 李华军, 黄维平. 海洋平台结构环境激励的实验模态分析[J]. 振动与冲击, 2005, 24(2): 129-133. doi: 10.3969/j.issn.1000-3835.2005.02.033 YANG He-zhen, LI Hua-jun, HUANG Wei-ping. Experimental modal analysis of offshore platform under operational conditions[J]. Journal of Vibration and Shock, 2005, 24(2): 129-133. (in Chinese). doi: 10.3969/j.issn.1000-3835.2005.02.033
[16]	应怀樵, 刘进明, 沈松. 半功率带宽法与INV阻尼计法求阻尼比的研究[J]. 噪声与振动控制, 2006(2): 4-6. doi: 10.3969/j.issn.1006-1355.2006.02.002 YING Huai-qiao, LIU Jin-ming, SHEN Song. Half-power bandwidth method and INV damping ration solver study[J]. Noise and Vibration Control, 2006(2): 4-6. (in Chinese). doi: 10.3969/j.issn.1006-1355.2006.02.002
[17]	BRINCKER R, ZHANG Ling-mi, ANDERSEN P. Modal identification of output-only systems using frequency domain decomposition[J]. Smart Materials and Structures, 2001, 10(3): 441-445. doi: 10.1088/0964-1726/10/3/303
[18]	裴强, 王丽. 结构参数识别方法研究[J]. 大连大学学报, 2013, 34(3): 36-44. doi: 10.3969/j.issn.1008-2395.2013.03.009 PEI Qiang, WANG Li. Review of parameter identification methods for vibrating system[J]. Journal of Dalian University, 2013, 34(3): 36-44. (in Chinese). doi: 10.3969/j.issn.1008-2395.2013.03.009
[19]	NIELD S A, WILLIAMS M S, MCFADDEN P D. Nonlinear vibration characteristics of damaged concrete beams[J]. Journal of Structural Engineering, 2003, 129(2): 260-280. doi: 10.1061/(ASCE)0733-9445(2003)129:2(260)
[20]	续秀忠, 张志谊, 华宏星, 等. 应用时频分析方法辨识时变系统的模态参数[J]. 振动工程学报, 2003, 16(3): 358-362. doi: 10.3969/j.issn.1004-4523.2003.03.020 XU Xiu-zhong, ZHANG Zhi-yi, HUA Hong-xing, et al. Identification of time-varying modal parameters by a linear time-frequency method[J]. Journal of Vibration Engineering, 2003, 16(3): 358-362. (in Chinese). doi: 10.3969/j.issn.1004-4523.2003.03.020
[21]	DING Jian-ming, DING Cheng-cheng. Automatic detection of a wheelset bearing fault using a multi-level empirical wavelet transform[J]. Measurement, 2019, 134: 179-192.
[22]	罗光坤, 张令弥. 基于Morlet小波变换的模态参数识别研究[J]. 振动与冲击, 2007, 26(7): 135-138. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ200707033.htm LUO Guang-kun, ZHANG Ling-mi. Study on identification of modal parameters based on Morlet wavelet transformation[J]. Journal of Vibration and Shock, 2007, 26(7): 135-138. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ200707033.htm
[23]	HUANG N E, SHEN Zheng, LONG S R, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J]. Proceedings of the Royal Society of London Series A—Mathematical Physical and Engineering Sciences, 1998, 454(1): 903-995.
[24]	边涛, 谢寿生, 刘云龙. 基于HHT的拉杆转子结构模态参数识别[J]. 噪声与振动控制, 2017, 37(5): 23-28. https://www.cnki.com.cn/Article/CJFDTOTAL-ZSZK201705007.htm BIAN Tao, XIE Shou-sheng, LIU Yun-long. Modal parameters identification of rod fastening rotors based on HHT[J]. Noise and Vibration Control, 2017, 37(5): 23-28. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZSZK201705007.htm
[25]	闵志华, 孙利民, 孙智, 等. 基于小波变换和奇异值分解的模态参数识别方法[J]. 同济大学学报(自然科学版), 2009, 37(4): 460-465. https://www.cnki.com.cn/Article/CJFDTOTAL-TJDZ200904010.htm MIN Zhi-hua, SUN Li-min, SUN Zhi, et al. Modal parameters identification method based on wavelet transform and singular value decomposition[J]. Journal of Tongji University (Natural Science), 2009, 37(4): 460-465. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TJDZ200904010.htm
[26]	DRAGOMIRETSKIY K, ZOSSO D. Variational mode decomposition[J]. IEEE Transactions on Signal Processing, 2014, 62(3): 531-544.
[27]	丁建明, 王晗, 林建辉, 等. 基于EMD-Hankel-SVD的高速列车万向轴动不平衡检测[J]. 振动与冲击, 2015, 34(9): 164-170. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201509032.htm DING Jian-ming, WANG Han, LIN Jian-hui, et al. Detection of dynamic imbalance due to cardan shaft in high-speed train based on EMD-Hankel-SVD method[J]. Journal of Vibration and Shock, 2015, 34(9): 164-170. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201509032.htm
[28]	NI Ping-he, LI Jun, HAO Hong, et al. Time-varying system identification using variational mode decomposition[J]. Structural Control and Health Monitoring, 2018, 25(6): e2175-1-20.
[29]	BAGHERI A, OZBULUT O E, HARRIS D K. Structural system identification based on variational mode decomposition[J]. Journal of Sound and Vibration, 2018, 417: 182-197.
[30]	荣双龙, 李传日, 徐飞, 等. 试验模态分析最佳测试点选取方法的优化[J]. 北京航空航天大学学报, 2014, 40(4): 536-543. https://www.cnki.com.cn/Article/CJFDTOTAL-BJHK201404019.htm RONG Shuang-long, LI Chuan-ri, XU Fei, et al. Method optimization of optimum measurement point selection in experiential modal analysis[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(4): 536-543. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-BJHK201404019.htm

Relative Articles

Supplements(0)

Cited By

Proportional views

Proportional views

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Get Citation

PDF

XML

Article Metrics

Article views (576) PDF downloads(432)

Structural modal parameter identification method based on variational mode decomposition and singular value decomposition

doi: 10.19818/j.cnki.1671-1637.2019.06.008

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Proportional views

Related

Structural modal parameter identification method based on variational mode decomposition and singular value decomposition

doi: 10.19818/j.cnki.1671-1637.2019.06.008

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Proportional views

Related

Export File

Citation

Format

Content