Mechanical Attributes of Fractal Dragons

Fractals are ubiquitous natural emergences that have gained increased attention in engineering applications, thanks to recent technological advancements enabling the fabrication of structures spanning across many spatial scales. We show how the geometries of fractals can be exploited to determine th...

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Bibliographic Details
Published inarXiv.org
Main Authors Phan, Huy T Q, Bui, Duc M, Than, Cong T, Phan, Trung V
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 12.11.2023
Subjects
Fractal geometry
Mechanical properties
Moments of inertia
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Summary:Fractals are ubiquitous natural emergences that have gained increased attention in engineering applications, thanks to recent technological advancements enabling the fabrication of structures spanning across many spatial scales. We show how the geometries of fractals can be exploited to determine their important mechanical properties, such as the first and second moments, which physically correspond to the center of mass and the moment of inertia, using a family of complex fractals known as the dragons.
ISSN:2331-8422