Method of order determination of engineering structure modal identification model
A technology for engineering structure and modal recognition, which is applied in the testing of machines/structural components, elastic testing, instruments, etc., to achieve the effect of simple access
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[0028] Taking an 8-story frame structure as an example, let the mass of each layer be 1.1×10 6 kg, the interlayer stiffness is 862.07×10 6 N / m, the damping adopts Rayleigh damping, the Rayleigh damping coefficient is determined by the damping ratio of the first two orders of 5%, the excitation form is pulse excitation, the noise level is 20% of the actual signal variance, and the response signal is the displacement of each layer of the structure . The specific implementation of the method is as follows:
[0029] (1) Let rH=150, cH=130; and let k=1, select the measured signal y from the 1st moment to the 279th moment to form Hankel matrix H(k-1) and H(k), as follows:
[0030]
[0031] In the formula: the vector y is the measured signal with noise interference; the subscript k+i represents the k+ith moment, where i=0...rH+cH+k-2; k to rH+cH+k-2 are options The number of measured time history data points of .
[0032] (2) Singular value decomposition of the Hankel matrix H...
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