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https://repository.cihe.edu.hk/jspui/handle/cihe/2431| Title: | Dynamic substructure method for elastic fractal structures | Author(s): | Leung, Andrew Yee Tak | Issue Date: | 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. |
URI: | https://repository.cihe.edu.hk/jspui/handle/cihe/2431 | DOI: | 10.1016/j.compstruc.2010.10.010 | CIHE Affiliated Publication: | No |
| Appears in Collections: | CIS Publication |
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