Free vibration of elastic helicoidal shells

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

10 Scopus Citations
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Author(s)

  • X. X. Hu
  • C. W. Lim
  • T. Sakiyama
  • Z. R. Li
  • W. K. Wang

Detail(s)

Original languageEnglish
Pages (from-to)941-960
Journal / PublicationInternational Journal of Mechanical Sciences
Volume47
Issue number6
Publication statusPublished - Jun 2005

Abstract

An elastic helicoidal structure modelled as a plate twisted around its axis is studied in this paper. Accurate strain-displacement relationships for the shell are derived by the Green strain tensor in general shell theory and first-order shear deformation theory. An energy equilibrium equation of free vibration is introduced by the principle of virtual work. Applying the Rayleigh-Ritz method, an analytical eigenvalue equation is formulated and solved via an efficient computational approach for vibration characteristics of the helicoidal structure. A set of normalized orthogonal polynomials generated by the Gram-Schmidt procedure is presented to approximate the admissible functions. The first polynomial is taken as a kinematically compliant geometric equation of boundary conditions of the shell. The convergence and the accuracy of the present method, and the effects of geometric parameters and boundary conditions on vibration of the helicoidal structure are investigated. © 2005 Elsevier Ltd. All rights reserved.

Research Area(s)

  • Elastic helicoidal structure, First-order shear deformation theory, Orthonormal polynomials, Principle of virtual work, Rayleigh-Ritz method

Citation Format(s)

Free vibration of elastic helicoidal shells. / Hu, X. X.; Lim, C. W.; Sakiyama, T. et al.

In: International Journal of Mechanical Sciences, Vol. 47, No. 6, 06.2005, p. 941-960.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review