The Vibration Analysis of Viscoelastic Beams Described by Fractional Derivativev Kelvin Model Based on Lagrange Variations
Yan Qi-fang
Abstract
Yan Qi-fang
Abstract
Obtained the differential equation of viscoelastic beams described by fractional derivative relation based on calculus of lagrange variations,got the numerical solution with the Zhang-Shimizu fractional derivative numerical integration method,gave a numerical example,Studied the properties of viscoelastic beams which described by fractional derivative relation.
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Obtained the differential equation of viscoelastic beams described by fractional derivative relation based on calculus of lagrange variations,got the numerical solution with the Zhang-Shimizu fractional derivative numerical integration method,gave a numerical example,Studied the properties of viscoelastic beams which described by fractional derivative relation.
Key concepts: Viscoelasticity, Fractional calculus, Numerical analysis, Derivative (finance), Mathematical analysis, Mathematics, Numerical integration, Relation (database)