Method for identifying operation mode under underdetermined condition based on blind source separation technology
A blind source separation and modal recognition technology, applied in character and pattern recognition, pattern recognition in signals, complex mathematical operations, etc., can solve problems such as harm and deformation, and achieve wide application prospects and benefits.
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Embodiment 1
[0081] The five-degree-of-freedom spring-damper-mass system of the present embodiment, such as figure 2 shown. The five-degree-of-freedom spring-damper-mass system of this embodiment includes five mass blocks, five dampers, and five springs each. These spring-dampers are all constant and do not change with time.
[0082]
[0083] Convert the dynamic equation (16) into a state space equation, and use SIMULINK to construct a state space simulation model according to the state space equation, such as figure 2 . In the above formula, M, C, K are the mass, stiffness and damping matrix respectively, which is the system response, as shown in formula (17). F(t) applies a transient impact of 120N for 0.01s in this example.
[0084]
[0085] Gauss white noise excitation is applied to the five mass blocks respectively, and the responses of the five mass blocks in the system are obtained. The five-degree-of-freedom displacement is used as the response signal sample for identif...
Embodiment 2
[0108] This implementation uses the same five-DOF spring-damper-mass simulation system as Example 1, such as figure 2 shown. The system composition and parameter settings are the same as those in Example 1.
[0109] Since this example is aimed at the underdetermined situation, three groups of samples are selected in this example, and each group of samples contains the acceleration of three degrees of freedom as the response signal samples used for identification, respectively X 1-3-5 ,X 2-4-5 ,X 1-2-4 , the subscript indicates the serial number of the mass block. The solution result is re-sampled at f=100Hz, the recording time is 10s (t∈[0,10]), and the signal length N=1000.
[0110] A blind source separation technology-based operating mode recognition method under underdetermined conditions disclosed in this embodiment includes the following steps:
[0111] Step 1: Make a sparse representation of the free vibration acceleration observation data of the parameter structur...
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