On the flexural vibration of cylinders under axial loads:Numerical and experimental study

Bayón Rojo, Ana Isabel and Medina Ferro, Rafael and Salazar Bloise, Félix José (2012). On the flexural vibration of cylinders under axial loads:Numerical and experimental study. "Journal of sound and vibration", v. 331 (n. 10); pp. 2315-2333. ISSN 0022-460X. https://doi.org/10.1016/j.jsv.2011.12.017.

Description

Title: On the flexural vibration of cylinders under axial loads:Numerical and experimental study
Author/s:
  • Bayón Rojo, Ana Isabel
  • Medina Ferro, Rafael
  • Salazar Bloise, Félix José
Item Type: Article
Título de Revista/Publicación: Journal of sound and vibration
Date: May 2012
ISSN: 0022-460X
Volume: 331
Subjects:
Faculty: E.T.S.I. Minas (UPM)
Department: Física Aplicada a los Recursos Naturales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The flexural vibration of a homogeneous isotropic linearly elastic cylinder of any aspect ratio is analysed in this paper. Natural frequencies of a cylinder under uniformly distributed axial loads acting on its bases are calculated numerically by the Ritz method with terms of power series in the coordinate directions as approximating functions. The effect of axial loads on the flexural vibration cannot be described by applying infinitesimal strain theory, therefore, geometrically nonlinear strain–displacement relations with second-order terms are considered here. The natural frequencies of free–free, clamped–clamped, and sliding–sliding cylinders subjected to axial loads are calculated using the proposed three-dimensional Ritz approach and are compared with those obtained with the finite element method and the Bernoulli–Euler theory. Different experiments with cylinders axially compressed by a hydraulic press are carried out and the experimental results for the lowest flexural frequency are compared with the numerical results. An approach based on the Ritz formulation is proposed for the flexural vibration of a cylinder between the platens of the press with constraints varying with the intensity of the compression. The results show that for low compressions the cylinder behaves similarly to a sliding–sliding cylinder, whereas for high compressions the cylinder vibrates as a clamped–clamped one.

More information

Item ID: 19096
DC Identifier: http://oa.upm.es/19096/
OAI Identifier: oai:oa.upm.es:19096
DOI: 10.1016/j.jsv.2011.12.017
Official URL: http://www.sciencedirect.com/science/article/pii/S0022460X11009643
Deposited by: Memoria Investigacion
Deposited on: 30 Aug 2013 06:34
Last Modified: 21 Apr 2016 17:20
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