Fractal two-level finite element method for free vibration of cracked beams

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

12 Scopus Citations
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Author(s)

  • A. Y T Leung
  • R. K L Su

Detail(s)

Original languageEnglish
Pages (from-to)61-68
Journal / PublicationShock and Vibration
Volume5
Issue number1
Publication statusPublished - 1998
Externally publishedYes

Abstract

The fractal two-level finite element method is extended to the free vibration behavior of cracked beams for various end boundary conditions. A cracked beam is separated into its singular and regular regions. Within the singular region, infinite number of finite elements are virturally generated by fractal geometry to model the singular behavior of the crack tip. The corresponding numerous degrees of freedom are reduced to a small set of generalized displacements by fractal transformation technique. The solution time and computer storage can be remarkably reduced without sacrifying accuracy. The resonant frequencies and mode shapes computed compared well with the results from a commercial program.

Citation Format(s)

Fractal two-level finite element method for free vibration of cracked beams. / Leung, A. Y T; Su, R. K L.

In: Shock and Vibration, Vol. 5, No. 1, 1998, p. 61-68.

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