研究了由梁上动态响应识别其上作用的多个动载荷问题。首先,对于梁上的动态响应,采用相空间重构及奇异值分解方法,将不同能量的分量进行分离,识别出动载荷数量。然后,基于各分量的时频相关性,重构出对应各个载荷的响应。在此基础上,提出了基于模态空间和优化的集中动载荷位置和大小的识别方法,并进行了理论证明。对梁上作用多个简谐载荷与时变载荷的情况分别进行了仿真,结果证明上述方法具有很高的识别精度。最后,分析了噪声对于识别精度的影响。
The identification of multiple loads on the beam from the dynamical responses was investigated. Firstly,the measured responses of the beam on different positions were mapped into phase space and decomposed by Singular Value Decomposition( SVD). Then the obtained signal vector’s elements were rearranged by the energy levels corresponding to different eigenvalues. Based on the present results,the load’ s number was determined.Furthermore,according to the natural correlations of the signals’ time-frequency relation corresponding to the same load,the responses’ amplitudes were determined. Finally,based on the mode space and optimization,the identification method for the concentrated loads on beam was presented and proved theoretically. The calculation was carried in the case of harmonic and time-varied load,and the results showed that the presented method was correct and had high accuracy.