Fractal two-level finite element method for free vibration of cracked beams
Author(s)
Author(s)
Su, R. K. L.
Date Issued
1998
Publisher
Hindawi Publishing Corporation
Journal
Shock and Vibration
Volume
5
Issue
1
Start page
61
End page
68
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.
SFU Affiliated Publication
No
Availability at SFU Library
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