Multi-crack location and degree identification of beam structure based on modal parameters

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (23) : 271-279.

GUO Shuaiping1, WU Qiqiang1, LI Xuejun1,2, WANG Gang1

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Abstract

Aiming at multi-crack diagnosis problems of beam structure, based on natural frequencies of beam structure, a multi-crack diagnosis method to combine the sensitivity square matrix with the element subdivision was proposed.Firstly, natural frequency orders of a selected beam structure were equal to the number of elements divided in the beam, and the sensitivity square matrix of the beam was calculated based on the beam’s various modal shapes.Secondly, measured natural frequencies of the beam were used to solve the sensitivity square matrix equation, and determine cracked elements.The element subdivision method was employed to reduce crack area.Thirdly, aiming at the multi-crack beam, based on the return to zero inverse method, the beam’s natural frequency parameters were solved in turn when each crack exists alone.The multi-crack diagnosis problem was converted into multiple uncorrelated single-crack diagnosis problems.Finally, according to the beam’s single crack location and degree recognition method, within an element, cracks were further located and their degrees were recognized to realize multi-crack diagnosis.Numerical simulation and tests were performed.Results showed that the proposed beam multi-crack diagnosis method has higher accuracy; its effectiveness is verified; it can provide a theoretical basis for practical engineering application.

Key words

beam structure / natural frequency / multi-crack diagnosis / sensitivity square matrix / return to zero inverse method

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GUO Shuaiping1, WU Qiqiang1, LI Xuejun1,2, WANG Gang1. Multi-crack location and degree identification of beam structure based on modal parameters[J]. Journal of Vibration and Shock, 2020, 39(23): 271-279

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