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Decoupling severity and location from cracked beams

Kennedy, David ORCID:, Rios, J. and Ilanko, S. 2016. Decoupling severity and location from cracked beams. Presented at: 23rd International Congress on Sound and Vibration, Athens, Greece, 10-14 July, 2016. 23rd International Congress on Sound and Vibration 2016 (ICSV 23): From Ancient to Modern Acoustics. Auburn, AL: International Institute of Acoustics and Vibration, pp. 3200-3207.

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The rotational spring model for determining the natural frequencies of cracked beams needs two parameters, the severity represented by the spring stiffness and its position along the beam to represent the crack. The eventual application, namely the identification of the severity of the crack and its location, is a challenging task. Previous detection methodologies suppose linear variation between frequency changes and spring stiffness in early stages of damage, making it possible to eliminate the severity factor through statistical processes and perform the numerical search for the location. In this paper, we present a property of the characteristic equation of a cracked beam using the rotational spring model devised from the determinantal equation of the dynamic stiffness matrix, allowing us to separate the severity and the location parameters in perfectly known terms, one with the characteristic equation of the undamaged beam and the other with the characteristic equation of the beam with a hinge at the location of the damage. Numerical examples to verify the agreement with previous closed-form results were performed with high accuracy and the identification of crack parameters was done successfully without any assumption regarding to the severity for a beam with a crack.

Item Type: Conference or Workshop Item (Paper)
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Publisher: International Institute of Acoustics and Vibration
ISBN: 978-1-5108-2716-5
Last Modified: 06 Jan 2024 03:46

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