Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin-Voigt type

DOI10.1007/s11012-015-0128-xzbMath1325.74080OpenAlexW2081005923MaRDI QIDQ890428

Sanja Konjik, Dusan Zorica, Marko Janev, Teodor M. Atanacković, Stevan Pilipović

Publication date: 10 November 2015

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-015-0128-x

zbMATH Keywords

dynamic stabilitytransversal vibrationselastic rod on viscoelastic foundationfractional order constitutive equationsreal and complex order fractional derivatives

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)

Related Items (11)

On the physical meaning of time-domain constitutive models with complex parameters ⋮ Wave equation for generalized Zener model containing complex order fractional derivatives ⋮ On the transient response of plates on fractionally damped viscoelastic foundation ⋮ On a new class of constitutive equations for linear viscoelastic body ⋮ Euler-Lagrange equations for Lagrangians containing complex-order fractional derivatives ⋮ On the dynamics of Rayleigh beams resting on fractional-order viscoelastic Pasternak foundations subjected to moving loads ⋮ Transient response of rectangular plate on viscoelastic foundation under time-variable load based on fractional-order differential model ⋮ Effective properties of fractional viscoelastic composites via two‐scale asymptotic homogenization ⋮ Moving point load on a beam with viscoelastic foundation containing fractional derivatives of complex order ⋮ Stability analysis of Beck's column over a fractional-order hereditary foundation ⋮ Damped vibration of a nonlocal nanobeam resting on viscoelastic foundation: fractional derivative model with two retardation times and fractional parameters

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