Dynamic substructure method for elastic fractal structures
Author(s)
Date Issued
2011
Publisher
Elsevier
Journal
Computers & Structures
Volume
89
Issue
3-4
Start page
302
End page
315
Abstract
We investigate the fractal properties on the distribution of natural frequencies of elastic structures. We use the multi-level-multi-scale dynamic substructure method so that we need only to eliminate a few nodes in advancing a fractal level. We shall give four numerical examples including the von Koch curves and the L-system. The natural frequencies and the dynamic power laws are presented. Example 4 has a fractal dimension that is a function of fractal level and has intermittence power laws discovered here for the first time.
SFU Affiliated Publication
No
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