Simplified modelling and analysis of a rotating Euler-Bernoulli beam with a single cracked edge
Simplified modelling and analysis of a rotating Euler-Bernoulli beam with a single cracked edge
The natural frequencies and mode shapes of the flapwise and chordwise vibrations of a rotating cracked Euler-Bernoulli beam are investigated using a simplified method. This approach is based on obtaining the lateral deflection of the cracked rotating beam by subtracting the potential energy of a rotating massless spring, which represents the crack, from the total potential energy of the intact rotating beam. With this new method, it is assumed that the admissible function which satisfies the geometric boundary conditions of an intact beam is valid even in the presence of a crack. Furthermore, the centrifugal stiffness due to rotation is considered as an additional stiffness, which is obtained from the rotational speed and the geometry of the beam. Finally, the Rayleigh-Ritz method is utilised to solve the eigenvalue problem. The validity of the results is confirmed at different rotational speeds, crack depth and location by comparison with solid and beam finite element model simulations. Furthermore, the mode shapes are compared with those obtained from finite element models using a Modal Assurance Criterion (MAC).
346-356
Yashar, Ahmed
8cb804e4-b6c8-472d-afb3-0e645e98af66
Ferguson, Neil
8cb67e30-48e2-491c-9390-d444fa786ac8
Ghandchi Tehrani, Maryam
c2251e5b-a029-46e2-b585-422120a7bc44
Yashar, Ahmed
8cb804e4-b6c8-472d-afb3-0e645e98af66
Ferguson, Neil
8cb67e30-48e2-491c-9390-d444fa786ac8
Ghandchi Tehrani, Maryam
c2251e5b-a029-46e2-b585-422120a7bc44
Yashar, Ahmed, Ferguson, Neil and Ghandchi Tehrani, Maryam
(2018)
Simplified modelling and analysis of a rotating Euler-Bernoulli beam with a single cracked edge.
Journal of Sound and Vibration, 420, .
(doi:10.1016/j.jsv.2017.12.041).
Abstract
The natural frequencies and mode shapes of the flapwise and chordwise vibrations of a rotating cracked Euler-Bernoulli beam are investigated using a simplified method. This approach is based on obtaining the lateral deflection of the cracked rotating beam by subtracting the potential energy of a rotating massless spring, which represents the crack, from the total potential energy of the intact rotating beam. With this new method, it is assumed that the admissible function which satisfies the geometric boundary conditions of an intact beam is valid even in the presence of a crack. Furthermore, the centrifugal stiffness due to rotation is considered as an additional stiffness, which is obtained from the rotational speed and the geometry of the beam. Finally, the Rayleigh-Ritz method is utilised to solve the eigenvalue problem. The validity of the results is confirmed at different rotational speeds, crack depth and location by comparison with solid and beam finite element model simulations. Furthermore, the mode shapes are compared with those obtained from finite element models using a Modal Assurance Criterion (MAC).
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Accepted/In Press date: 31 December 2017
e-pub ahead of print date: 7 February 2018
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Local EPrints ID: 416994
URI: http://eprints.soton.ac.uk/id/eprint/416994
ISSN: 0022-460X
PURE UUID: 61008e95-b063-42db-a473-9259ec407535
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Date deposited: 16 Jan 2018 17:30
Last modified: 16 Mar 2024 06:06
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Author:
Ahmed Yashar
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