Numerical analysis of fractional partial differential equations applied to polymeric visco-elastic Euler-Bernoulli beam under quasi-static loads

DOI10.1016/j.chaos.2020.110255zbMath1495.74042OpenAlexW3083772062WikidataQ115359203 ScholiaQ115359203MaRDI QIDQ2123692

Yanyan Li

Publication date: 14 April 2022

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110255

zbMATH Keywords

fractional calculusEuler-Bernoulli beamshifted Chebyshev polynomialsfractional partial differential equationfractional rheological modelsvisco-elastic properties

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Related Items (4)

Shifted Bernstein-Legendre polynomial collocation algorithm for numerical analysis of viscoelastic Euler-Bernoulli beam with variable order fractional model ⋮ A finite element approximation to a viscoelastic Euler-Bernoulli beam with internal damping ⋮ Beam deflection coupled systems of fractional differential equations: existence of solutions, Ulam-Hyers stability and travelling waves ⋮ Dynamic analysis of variable fractional order cantilever beam based on shifted Legendre polynomials algorithm

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