Analytical solutions for vibrating fractal composite rods and beams

DOI10.1016/J.APM.2010.08.007zbMath1211.74115OpenAlexW2087887439MaRDI QIDQ534887

Yong-Cai Geng, Sumit K. Garg

Publication date: 10 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.apm.2010.08.007

zbMATH Keywords

analytical solutionsvibrationmodal analysisCantor dust

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Composite and mixture properties (74E30) Dynamical systems in solid mechanics (37N15)

Related Items (4)

A tessellated continuum approach to thermal analysis: discontinuity networks ⋮ Analytical solutions for heat transfer on fractal and pre-fractal domains ⋮ Fractal equilibrium configuration of a mechanically loaded binary tree ⋮ Sierpinski-Takagi combination for a uniform and optimal point-surface load transmission

Cites Work

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• Formulation of Euler-Lagrange equations for fractional variational problems
• Fractal mechanics
• A fractional calculus approach to the description of stress and strain localization in fractal media
• Static-kinematic duality and the principle of virtual work in the mechanics of fractal media

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