Abstract
The present paper presents several new applications of the theory of fractals in structural mechanics. Until now most of the existing applications of the theory of fractals concern the calculation of fractal dimensions in physical phenomena, especially with respect to dynamical systems. The present paper deals with several other aspects of the theory of fractals which, from the standpoint of mechanics, seem to be of greater importance. Indeed the methods of fractal analysis permit the formulation and solution of difficult or yet unsolved mechanical problems or their treatment from an entirely new point of view. This paper is a first attempt towards this direction.
Sommario
Nel presente lavoro vengono considerate nuove applicazioni della teoria dei frattali al campo della meccanica strutturale. Molte delle applicazioni della teoria dei frattali esistenti fino ad oggi, si riferiscono al calcolo della dimensione frattale per fenomeni fisici, con speciale riferimento a sistemi dinamici. Il presente lavoro si riferisce a molti altri aspetti della teoria dei frattali che, dal punto di vista della Meccanica, sembrano essere di maggior importanza. In effetti, il metodo dell'analisi frattale permette una formulazione ed una luzione di difficili problemi meccanici non ancora risolti che vengono trattati da un punto di vista completamente nuovo. Il presente lavoro costituiscc un primo tentativo in questa direzione.
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Panagiotopoulos, P.D. Fractals and fractal approximation in structural mechanics. Meccanica 27, 25–33 (1992). https://doi.org/10.1007/BF00453000
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DOI: https://doi.org/10.1007/BF00453000