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A Method for Order Determination in Mode Recognition Based on Sparse Component Analysis

A technology for determining methods and analyzing patterns, applied in character and pattern recognition, measuring devices, elastic testing, etc., to improve accuracy and resolve errors

Inactive Publication Date: 2020-10-20
DALIAN UNIV OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0005] The purpose of the present invention is to provide a method for determining the modal order, which can solve the inconvenience caused by the unknown modal order in the process of sparse component analysis, and improve the accuracy of modal identification based on sparse component analysis.

Method used

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Examples

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Comparison scheme
Effect test

Embodiment

[0021] Take a 6-story frame structure, the mass of the first floor is 3kg, the mass of the second to sixth floors is 1kg, the stiffness of the first floor is 2kN / m, the stiffness of the second to sixth floors is 1kN / m, and the damping ratio adopts Rayleigh damping C = αM + βK (among them, α = 0.05, β = 0.004), the excitation adopts the hammer excitation at the position of the sixth floor, the sampling frequency is 100Hz, and the acceleration is collected at the node position of each layer of the six-story frame.

[0022] (1) The acceleration response of the acquisition structure Acc(t)=[acc 1 (t), acc 2 (t),..., acc 6 (t)] T . The short-time Fourier transform is used to transform the acceleration response Acc(t) in the time domain to the time-frequency domain, and the expression of the response in the time-frequency domain is Acc(t,f), where f represents the frequency.

[0023] (2) Single-source point detection technology is used to pick out single-source points with only ...

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Abstract

The invention belongs to the technical field of structural health monitoring data analysis and provides a method for determining the order in modal recognition based on sparse component analysis. First, the short-time Fourier transform of the structural acceleration response data is transformed into the time-frequency domain, and the single-source point detection technology is used to select the time-frequency points in the time-frequency plane that only have one mode participating in the contribution; secondly, two The single source point of the sensor position is normalized to the upper half of the unit circle, and three distance statistics are given to perform statistical analysis on the normalized single source point, and the recommended value of the number of statistical intervals required for statistics is given Range, the approximate probability of each interval is obtained by statistics, the probability sequence is averaged, and the peak point of the averaged probability sequence is picked; finally, the number of peak points is used as the estimation of the modal order. The invention can accurately estimate the mode order, provide the number of clusters in the mode identification process for the sparse component analysis, and improve the accuracy of the sparse component analysis and identification mode.

Description

technical field [0001] The invention belongs to the technical field of structural health monitoring data analysis, and relates to a method for identifying modal parameters of engineering structures. Background technique [0002] Structural modal parameter identification includes identification of natural frequency, mode shape and damping ratio. Accurately identifying the modal parameters of a structure is of great engineering significance for finite element model correction and structural damage identification. In recent years, the modal parameter identification method based on blind source separation theory has been widely used. The problem of blind source separation is to extract the information of the source signal and the mixed channel from the observed signal of the linear mixed system. In the identification of structural modal parameters, the mode shape matrix after modal decoupling corresponds to the mixing matrix in blind source separation, and the modal coordinate...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/18
CPCG06F17/18G01M5/0066G06F17/14G06F17/156G06F17/16G06F18/2134G06F2218/08
Inventor 姚小俊伊廷华李宏男
Owner DALIAN UNIV OF TECH