Vibration of Stress-Free Hollow Cylinders of Arbitrary Cross Section

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

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)718-724
Journal / PublicationJournal of Applied Mechanics
Volume62
Issue number3
Publication statusPublished - Sep 1995
Externally publishedYes

Abstract

A three-dimensional elasticity solution to the vibrations of stress-free hollow cylinders of arbitrary cross section is presented. The natural frequencies and deformed mode shapes of these cylinders are obtained via a three-dimensional displacement-based energy formulation. The technique is applied specifically to the parametric investigation of hollow cylinders of different cross sections and sizes. It is found that the cross-sectional property of the cylinder has significant effects on the normal mode responses, particularly, on the transverse bending modes. By varying the length-to-width ratio of these elastic cylinders, interesting results demonstrating the dependence of frequencies on the length of the cylinder have been concluded.

Research Area(s)

  • Vibration, Cylinders, Cross section (Physics), Elasticity, Displacement, Shapes

Citation Format(s)

Vibration of Stress-Free Hollow Cylinders of Arbitrary Cross Section. / Liew, K. M.; Hung, K. C.; Lim, M. K.

In: Journal of Applied Mechanics, Vol. 62, No. 3, 09.1995, p. 718-724.

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