Nonlinear dynamic analysis of viscoelastic beams using a fractional rheological model

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• 作者：Olga Martin ^{omartin_ro@yahoo.com}
• 关键词：Viscoelastic beam ; Fractional derivative ; Galerkin method ; Bessel functions ; Mittag&ndash ; Leffler functions ; Laplace transform
• 刊名：Applied Mathematical Modelling
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：43
• 期：Complete
• 页码：351-359
• 全文大小：707 K
• 卷排序：43

文摘

Quasi-static analysis, classical and fractional dynamic analysis of viscoelastic beam is presented. Plots of the relaxation modulus for different values of fractional derivative order are provided. Galerkin's method, Laplace transforms, Bessel functions and binomial series are used in paper. An example shows how existence of fractional derivative influences the structure response. Study allows researchers to choose a mathematical model to fit an experimental model.