随着结构的大型化以及激励的复杂化,难以通过传统的实验模态分析法得到结构的模态参数。本文基于自然激励法(NExT)和特征系统实现法(ERA)建立NExT-ERA模态识别理论,提出新的模态分析方法,识别自由板的模态参数。同时对自由板进行单点激振器激振,多点响应测量的模态分析试验,并对比自由板Ansys仿真分析、实验模态分析和NExT-ERA模态分析的识别结果。结果显示,NExT-ERA模态分析方法在频率、振型识别上具有良好的识别精度,也能准确识别实验模态分析中缺失的模态。
The model parameters of the structure are identified using the response signals generated by the structure's own excitation in the operating condition. Based on the natural excitation technique (NExT) and eigensystem realization algorithm (ERA), the NExT-ERA theory is proposed to identify model parameters of the free plate. Modal analysis experiment is conducted with single-point shaker excitation and multi-point response measurement on the free plate. And the results obtained from simulation analysis, modal analysis experiment and NExT-ERA method are compared. Compared with the result of simulation analysis, experimental analysis, it shows that Next-ERA modal analysis method has a good accuracy on frequency and modal shape. And it also has an excellent recognition effect on the mode which is missing in the result of experimental modal analysis. The modal frequency and model shape can be identified effectively with Next-ERA modal analysis method.
2024,46(11): 43-49 收稿日期:2023-06-29
DOI:10.3404/j.issn.1672-7649.2024.11.008
分类号:U661.44
基金项目:国家自然科学基金资助项目(52071152,51779098);基础加强计划重点基础研究项目(2020-JCJQ-ZD-222)
作者简介:蒋斌(1999-),男,硕士研究生,研究方向为结构振动与噪声控制
参考文献:
[1] AKAIKE H. Power spectrum estimation through autoregressive model fitting[J]. Annals of the Institute of Statistical Mathematics, 1969, 21(1): 407-419.
[2] BOX G E P, JENKINS G M. Time series analysis: Forecasting and control[J]. Holden-Day Series in Time Series Analysis, 1976, 14(2): 199-201.
[3] GAUTIER P E, GONTIER C, SMAIL M. Robustness of an arma identification method for modal analysis of mechanical systems in the presence of noise[J]. Journal of Sound & Vibration, 1995, 179(2): 227-242.
[4] COLE H A. Method and apparatus for measuring the damping characteristic of structure[J]. United State patent, 1971 (3): 620 069
[5] IBRAHIM S R. Random decrement technique for modal identification of structures[J]. Journal of Spacecraft & Rockets, 1977, 14(11): 696.
[6] 张西宁, 屈梁生. 一种改进的随机减量信号提取方法[J]. 西安交通大学学报, 2000, (34): 106-107+110.
[7] 黄方林, 何旭辉, 陈政清, 等. 随机减量法在斜拉桥拉索模态参数识别中的应用[J]. 机械强度, 2002, (3): 331–334.
[8] IBRAHIM S R, MIKULCIK E C. A method for the direct identification of vibration parameters from the free response[J]. Shock and Vibration Bulletin, 1977, 47: 183–198.
[9] JAMES G H. Extraction of modal parameter from an operating hawt using the natural excitation technique (NexT)[C]// 13th ASME Wind Energy Symposium, New Orleans, L A , 1994.
[10] JAMES G H, CARNE T G, EDMUNDS R S. STARS missile-modal analysis of first- flight data using the natural excitation technique, NexT Proceeding of SPIE[J]. The International Societr of Optical Engineering, 1993, 154(4): 749–757
[11] 李华新. 环境激励下工程结构模态参数辨识研究[D]. 重庆: 重庆大学, 2013.
[12] 孙乐. 基于运行模态分析的板架结构模态识别研究[D]. 武汉: 华中科技大学, 2017.
[13] 李长玉, 余莎丽, 林子涵, 等. 自然激励下某电动汽车白车身模态参数识别[J]. 电子测量与仪器学报, 2020, 34(8): 167-173.
[14] 卞超. 飞机紊流激励下的模态分析和颤振边界预测方法研究[D]. 南京: 南京航空航天大学, 2021.