Dynamics of a rod made of generalized Kelvin-Voigt viscoelastic material

DOI10.1006/jmaa.2001.7816zbMath1067.74037OpenAlexW2061534444MaRDI QIDQ1604264

Teodor M. Atanacković, Bogoljub Stanković

Publication date: 4 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7816

zbMATH Keywords

existencelateral vibrationfractional derivative differential equation

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) Existence of solutions of dynamical problems in solid mechanics (74H20) Regularity of solutions of dynamical problems in solid mechanics (74H30)

Related Items (3)

Unnamed Item ⋮ Post-buckling analysis of viscoelastic plates with fractional derivative models ⋮ On a Viscoelastic Rod with Constitutive Equation Containing Fractional Derivatives of Two Different Orders

Cites Work

• ANALYSIS OF FOUR-PARAMETER FRACTIONAL DERIVATIVE MODEL OF REAL SOLID MATERIALS
• On the Fractional Calculus Model of Viscoelastic Behavior
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Definition of Physically Consistent Damping Laws with Fractional Derivatives
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