Transient Vibrations of a Simply Supported Viscoelastic Beam of a Fractional Derivative Type Under the Transient Motion of the Supports

DOI10.1007/978-3-319-42408-8_10zbMath1397.74087OpenAlexW2520742350MaRDI QIDQ4687445

Jan Freundlich

Publication date: 11 October 2018

Published in: Dynamical Systems: Theoretical and Experimental Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-42408-8_10

zbMATH Keywords

fractional derivativemode superpositioninteger ordervibration amplitudederivative order

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Cites Work

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• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Damping described by fading memory -- analysis and application to fractional derivative models
• Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems
• Fractional calculus via functional calculus: Theory and applications
• A new dissipation model based on memory mechanism
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• On the Fractional Calculus Model of Viscoelastic Behavior
• Definition of Physically Consistent Damping Laws with Fractional Derivatives