1.Department of Naval Architecture Engineering, Naval University of Engineering, Wuhan 430033, China;
2.State Grid Bengbu Power Supply Company, Bengbu 233000, China
Any distribution of incentives lead to multiple modes of response, it is thus very difficult to stimulate single mode of vibration in experiments. The limitation of current signal processing techniques implies that traditional methods used to estimate the damping ratio cannot effectively separate the superposition modes, which leads to larger error in obtained damping ratio. Starting with modal superposition method theory in dealing with multiple-degrees-of-freedom system dynamic response, it was pointed out that mode confusion problem is one important limitation in precise damping ratio test. Modes are more crowded and the superimposed effect is more significant when system damping is larger and stiffness is lower. One program was proposed to achieve “pure mode” extraction by applying modal truncation in numeral calculation. The formula expressions of frequency-response spectrum peak line in both of resonance excitation experiment and numeral calculation were derived. The relationship between them was investigated. “Pure mode” calculation results were used to correct experimental damping ratio. Through four different board units, eight pre-order experimental modal analysis and numerical calculation parameter correction, combining frequency response function to verify data reliability of the correction damping ratio, some laws of damping ratio between different structures or materials were obtained. The results show that: the identification accuracy of composite plate’s modal damping ratio is lower than steel’s by model experiment calculation, and its damping performance is often underestimated and large amplitude correction are also often needed. The method provides a guideline for further study of modal parameter identification.
唐宇航1,陈志坚1,梅志远1,孙建连2. 数值计算结合试验测定模态阻尼法[J]. 振动与冲击, 2017, 36(4): 32-40.
TANG Yuhang1,CHEN Zhijian1,MEI Zhiyuan1,SUN Jianlian2. A method based on numeral calculation and experiment for determination of modal damping. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(4): 32-40.
[1] 郭雪莲,范雨,李琳. 航空发动机叶片高频模态阻尼的实验测试方法[J]. 航空动力学报, 2014, 29(9): 2014-2112.
GUO Xue-lian, FAN Yu, Li Lin. Experimental test method for high-frequency modal damping of turbo machinery blades [J]. Journal of Aerospace Power, 2014, 29(9): 2014-2112.
[2] Yin F. Characterization of the strain-amplitude and frequency dependent damping capacity in the M2052 alloy [J]. Trans.JIM, 2001, 42(3): 385-388.
[3] 郑成琪,程晓农. 金属阻尼性能测试方法的现状与发展[J]. 实验力学, 2004, 19(2): 248-256.
ZHENG Cheng-qi, CHENG Xiao-nong. Present Status and Future of Damping Measurement for Metals[J]. Journal of Experimental Mechanics, 2004, 19(2): 248-256.
[4] Clarence W. de Silva. 振动阻尼、控制和设计[M]. 北京:机械工业出版社.2013.03.P.8-9.
[5] 戴德沛.阻尼减振降噪技术[M].西安:西安交通大学出版社.1986.6, P.74-75.
[6] 黄方林,何旭辉,陈政清等. 识别结构模态阻尼比的一种新方法[J]. 土木工程学报, 2002, 36(6): 20-23.
HUANG Fang-lin, HE Xu-hui, CHEN Zheng-qing, etal. A new approach for identification of modal damping ratios for structure [J]. China Civil Engineering Journal, 2002, 36(6): 20-23.
[7] 陈奎孚,焦群英. 半功率点法估计阻尼比的误差分析[J]. 机械强度, 2002, 24(4): 510-514.
CHEN Kui-fu, JIAO Qun-ying. Influence of linear interpolation approximation to half power points on the damping estimation precision [J]. Journal of Mechanical Strength, 2002, 24(4): 510-514.
[8] 陈奎孚,张森文. 半功率点法估计阻尼的一种改进[J]. 振动工程学报, 2002, 15(2): 151-155.
CHEN Kui-fu, ZHANG Sen-wen. Improvement on the damping estimation by half power point method [J]. Journal of Vibration Engineering, 2002, 15(2): 151-155.
[9] 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, 26(2): 4-6.
YING Huai-qiao, LIU Jin-min, SHEN Song. Half-power bandwidth method and INV damping ration solver study [J]. Noise and Vibration Control, 2006, 26(2): 4-6.
[10] Brown D.L, Allemang R.J, Mergeay R. Parameter estimation techniques for modal analysis [R]. SAE Technical Paper series: No.820194, 1979.
[11] 孟凡通. 基于模糊聚类的密集模态参数识别方法研究及实现[D]. 秦皇岛: 燕山大学, 2012.
MENG Fan-tong. Study on identification method of modal parameter of close models based on the fuzzy clustering [D]. Qin huang dao: Yanshan University, 2012.
[12] 刘绍奎,韩增尧. 基于Gauss滤波和Hilbert变换的模态阻尼辨识方法[J]. 强度与环境, 2008, 35(1): 29-34.
LIU Shao-kui, HAN Zeng-yao. Modal damping parameters identification based on Gauss filter and Hilbert transform [J]. Structure and Environment Engineering, 2008, 35(1): 29-34.
[13] 尹帮辉,王敏庆,吴晓东. 结构振动阻尼测试的衰减法研究[J]. 振动与冲击, 2014, 33(4): 100-106.
YIN Bang-hui, WANG Min-qing, WU Xiao-dong. Decay method for measuring structural vibration damping [J]. Journal of Vibration and Shock, 2014, 33(4): 100-106.
[14] 申建红,李春祥,李锦华. 基于解析小波变换识别结构的模态阻尼参数[J]. 振动与冲击, 2009, 28(10): 89-93.
SHEN Jian-hong, LI Chun-xiang, LI Jin-hua. Identifying structural modal damping parameters based on analytic wavelet transformation [J]. Journal of Vibration and Shock, 2009, 28(10): 89-93.
[15] Wang B T Cheng D K. Modal analysis of MDOF system by using free vibration response data only [J]. Journal of Sound and Vibration, 2008, 208(3): 737-755.
[16] 陈茉莉,李舜酩. 基于分布激励突卸的转子叶片阻尼比试验[J]. 航空动力学报, 2009, 24(11): 2521-2526.
CHEN Mo-li, LI Shun-ming. Damping ratio experiment study on rotary blade based on distributing excitation unloaded instantaneously [J]. Journal of Aerospace Power, 2009, 24(11): 2521-2526.
[17] 淡丹辉,孙利民. 结构动力有限元的模态阻尼比单元阻尼建模法[J]. 振动、测试与诊断, 2008, 28(2): 100-103.
Dan Dan-hui, Sun Li-min. Damping modeling and its evaluation based on dynamical analysis of engineering structure by finite element method [J]. Journal of Vibration, Measurement and Diagnosis, 2008, 28(2): 100-103.
[18] 李德葆,陆秋海. 实验模态分析及其应用[M]. 北京: 科学出版社, 2001: 58-67.
[19] 温金鹏,杨智春,李斌,等. 材料阻尼测试方法研究[J]. 振动、测试与诊断, 2008, 28(3): 220-224.
Wen Jin-peng, Yang Zhi-chun, Li Bin et al. A method for material damping measurement [J]. Journal of Vibration, Measurement and Diagnosis, 2008, 28(3): 220-224.
[20] 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.
[21] R.克拉夫,J.彭津. 结构动力学[M]. 北京:高等教育出版社.2006.11,P.184-185.