Bending Analysis of Beam Described by Fractional Derivative Kelvin Viscoleastic Model
Yan Qi-fang
Abstract
Yan Qi-fang
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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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