2010Journal of Xinyang Normal UniversityRequires access

Bending Analysis of Beam Described by Fractional Derivative Kelvin Viscoleastic Model

Yan Qi-fang

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Abstract

Based on elastic-viscoelastic correspondence principle,the stress-strain relationship of beam is described by fractional derivative Kelvin viscoelastic model,and the expression of the deflection of fractional derivative Kelvin viscoelastic beam is obtained.The influence of the order of fractional derivative on the bending of viscoelastic beam is analyzed by numerical example.

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What this paper is about

Based on elastic-viscoelastic correspondence principle,the stress-strain relationship of beam is described by fractional derivative Kelvin viscoelastic model,and the expression of the deflection of fractional derivative Kelvin viscoelastic beam is obtained.The influence of the order of fractional derivative on the bending of viscoelastic beam is analyzed by numerical example.

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Available abstract

Based on elastic-viscoelastic correspondence principle,the stress-strain relationship of beam is described by fractional derivative Kelvin viscoelastic model,and the expression of the deflection of fractional derivative Kelvin viscoelastic beam is obtained.The influence of the order of fractional derivative on the bending of viscoelastic beam is analyzed by numerical example.

Key concepts: Viscoelasticity, Fractional calculus, Deflection (physics), Beam (structure), Derivative (finance), Material derivative, Bending, Mechanics

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