Fractal equilibrium configuration of a mechanically loaded binary tree

DOI10.1016/J.CHAOS.2021.111415zbMath1502.70015OpenAlexW3200099869MaRDI QIDQ2169725

Javier Rodríguez-Cuadrado, Jesús San Martín

Publication date: 29 August 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111415

zbMATH Keywords

equilibrium configurationprinciple of virtual workTakagi curve\(\beta\)-Cantor functionfractal binary tree

Mathematics Subject Classification ID

Statics (70C20)

Related Items (2)

Modal properties of fractal sympodial trees: insights and analytical solutions using a group tree modeling approach ⋮ Bifurcation and resonance of fractional cubic nonlinear system

Cites Work

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• Analytical solutions for vibrating fractal composite rods and beams
• The stiffness of self-similar fractals
• Free vibration analysis of a von Koch beam
• Fractal-based computational modeling and shape transition of a hyperbolic paraboloid shell structure
• Fractal mechanics
• From fractal media to continuum mechanics
• On Takagi Fractal Surfaces
• Understanding deterministic diffusion by correlated random walks
• An analytical construction of the SRB measures for Baker-type maps
• The canopy and shortest path in a self-contacting fractal tree.
• Static-kinematic duality and the principle of virtual work in the mechanics of fractal media

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