Modal properties of fractal sympodial trees: insights and analytical solutions using a group tree modeling approach

DOI10.1016/J.APM.2022.10.048OpenAlexW4308499717MaRDI QIDQ2692060

Cheng Ning Loong, Elias G. Dimitrakopoulos

Publication date: 21 March 2023

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2022.10.048

zbMATH Keywords

self-similarityrenormalizationfractal structuremodal propertiestree architecturesympodial tree

Mathematics Subject Classification ID

Classical measure theory (28Axx) Linear and multilinear algebra; matrix theory (15-XX) General and miscellaneous specific topics (00Axx)

Cites Work

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• Analytical solutions for heat transfer on fractal and pre-fractal domains
• The stiffness of self-similar fractals
• The Schur complement and its applications
• Multi-stage contact model between fractal rough surfaces based on multi-scale asperity deformation
• Fractal equilibrium configuration of a mechanically loaded binary tree
• On a localization phenomenon in two types of bio-inspired hierarchically organized oscillatory systems

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