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. © 2010 Elsevier Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 302-315 |
| Journal | Computers and Structures |
| Volume | 89 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - Feb 2011 |
Research Keywords
- Dynamic condensation
- Elastic fractal structures
- Frequency power laws
- Multi-level-multi-scale
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