文章基本信息

标题：Dynamics of Sandwich Curved Beams with Viscoelastic Core Described by Fractional Derivative Operators
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作者：Marcelo T. Piovan ; Rubens Sampaio ; Jean-Franςois Deü 等
期刊名称：Mecánica Computacional
印刷版ISSN：2591-3522
出版年度：2009
卷号：XXVIII
期号：9
页码：691-710
出版社：CIMEC-INTEC-CONICET-UNL
摘要：This paper presents a ﬁnite element formulation for transient dynamic analysis of sandwich curved beams with embedded viscoelastic material whose constitutive behavior is modeled by means of fractional derivative operators. The sandwich conﬁguration is composed of a band as a viscoelastic core bonded to elastic metallic strips. The viscoelastic model used to describe the behavior of the core is a four-parameter fractional derivative model. The Grünwald deﬁnition of the fractional operator is used to implement the viscoelastic model into a ﬁnite element formulation. Then, discretized motion equations are solved with a direct time integration scheme based on the Newmark method. A useful aspect of the procedure is that only the anelastic displacements history is kept. This allows an important save of computational resources associated with the non-locality of the operators for fractional derivatives. Numerical studies are presented in order to validate the curved beam model with other approaches (frames of straight beams) as well as to analyze the inﬂuence of different parameters in the transient dynamics of naturally curved sandwich beams.