Exploring the limits of a deflection-based method for the estimation of dynamic stress in beams
Exploring the limits of a deflection-based method for the estimation of dynamic stress in beams
Estimation of the dynamic stress in structures, such as beams and plates, has previously been made using the relationship between stress and velocity spatial maxima based on farfield assumptions. This paper presents a method for the estimation of dynamic stress in a beam using Euler-Bernoulli beam theory, where deflection data from a grid of measurement points on the surface of the beam is used to estimate the dynamic bending stress in the structure. The limitations of the method are investigated via response data provided by a numerical model of a free-free beam. A non-dimensional wavenumber analysis is used to determine the number of points required for an accurate estimate of stress. Beams with a range of material and geometric parameters are modelled in order to explore the limits of the estimation method, and parameters representative of several real-world materials are used to assess the suitability of the method for practical applications.
Beams, dynamic stress, structural dynamics, vibration
40-48
Keys, Archie
be052521-bf0f-40c7-8e30-50deba927618
Cheer, Jordan
8e452f50-4c7d-4d4e-913a-34015e99b9dc
6 March 2024
Keys, Archie
be052521-bf0f-40c7-8e30-50deba927618
Cheer, Jordan
8e452f50-4c7d-4d4e-913a-34015e99b9dc
Keys, Archie and Cheer, Jordan
(2024)
Exploring the limits of a deflection-based method for the estimation of dynamic stress in beams.
Journal of Dynamics, Monitoring and Diagnostics, 3 (1), .
(doi:10.37965/jdmd.2024.501).
Abstract
Estimation of the dynamic stress in structures, such as beams and plates, has previously been made using the relationship between stress and velocity spatial maxima based on farfield assumptions. This paper presents a method for the estimation of dynamic stress in a beam using Euler-Bernoulli beam theory, where deflection data from a grid of measurement points on the surface of the beam is used to estimate the dynamic bending stress in the structure. The limitations of the method are investigated via response data provided by a numerical model of a free-free beam. A non-dimensional wavenumber analysis is used to determine the number of points required for an accurate estimate of stress. Beams with a range of material and geometric parameters are modelled in order to explore the limits of the estimation method, and parameters representative of several real-world materials are used to assess the suitability of the method for practical applications.
Text
Exploring+the+limits+of+a+deflection-basedmethod+for+the+estimation+of+dynamic+stress+in+beams
- Accepted Manuscript
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e-pub ahead of print date: 6 March 2024
Published date: 6 March 2024
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Publisher Copyright:
© The Author(s) 2024.
Keywords:
Beams, dynamic stress, structural dynamics, vibration
Identifiers
Local EPrints ID: 488053
URI: http://eprints.soton.ac.uk/id/eprint/488053
ISSN: 2831-5308
PURE UUID: 8c6e7e02-24e9-450b-9045-cef57f8dfcb6
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Date deposited: 14 Mar 2024 17:31
Last modified: 31 Oct 2024 02:43
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Author:
Archie Keys
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