Fractals everywhere
Mathematical Theory of L Systems
Mathematical Theory of L Systems
Mesh generation and numerical analysis of a Galerkin method for highly conductive prefractal layers
Applied Numerical Mathematics
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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.