期刊
JOURNAL OF VIBRATION AND CONTROL
卷 28, 期 23-24, 页码 3859-3874出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/10775463211039903
关键词
Vibration source identification; force localization; energy density; vibration energy
资金
- Hong Kong Polytechnic University
In this research, it is proven that the high-order cross-modal energy densities of a linear dynamic structure are highly correlated to the location of the external exciting force. Based on this finding, a new force localization method is proposed and tested on vibrating beam structures. The proposed force localization method works well according to numerical tests and experiments.
The localization of shaking forces acting on an operating machine is an important step to identify vibration and noise sources. The forced vibration response of a linearly vibrating structure is assumed to be linear. However, the energy distribution of a linearly vibrating structure contains coupled terms in the modal decomposition of the vibration energy density function. These coupled energy terms represent the cross-modal energy density associated with the exciting force of a dynamic structure under forced vibration. In this research, it is proved analytically that the high-order cross-modal energy densities of a linear dynamic structure are highly correlated to the location of the external exciting force. Using this finding, a new force localization index based on the high-order cross-modal energy densities of a dynamic structure is proposed and tested. Numerical tests on uniform and step beam structures under force excitation with different frequencies and locations have been carried out to test the effectiveness of the proposed force localization method. It is found that the proposed force localization method works well on vibrating beam structures. Experiments are carried out to verify the proposed force localization method.
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