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Dynamic and static behaviors of multilayered angle-ply magnetoelectroelastic laminates with viscoelastic interfaces

机译：具有粘弹性界面的多层角层磁电弹性层压板的动态和静态行为

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In this paper, the state space method is used to analyze the static and dynamic behaviors of laminated magnetoelectroelastic rectangular plates with simply supported boundary conditions. Multilayers are considered as well as viscoelastic interfaces. The Kelvin-Voigt model is used to take into accounted the viscoelastic interface effects. The mathematical formulation is elaborated in a general form and an arbitrary number of layers as well as the orthotropic behavior can be considered. The coupling time and thickness variables formalism is presented in an elegant matrix way allowing a versatility and capability of the formalism to handle more general multilayered plates. The solution procedure is based on the transfer relationships coupled with the Lagrange polynomials in discretised time intervals. The static behavior of multilayered magneto-electro-elastic rectangular plates is analyzed and the main results are the viscoelastic interface effect on the dynamic behavior of multifunctional structures. New results have been obtained by this coupling state space-Lagrange polynomial methodology. The mathematical procedure, elaborated in this paper, is original and allows the numerical study of the effects of the viscoelastic interfaces. The effectiveness of the proposed methods has been demonstrated by performing variant numerical tests.
机译：本文采用状态空间法对边界条件简单支持的叠层电磁弹性矩形板的静动力特性进行了分析。考虑了多层以及粘弹性界面。 Kelvin-Voigt模型用于考虑粘弹性界面效应。以一般形式详细阐述数学公式，可以考虑任意数量的层以及正交各向异性行为。耦合时间和厚度变量形式主义以一种优雅的矩阵方式呈现，允许形式主义的多功能性和能力来处理更普通的多层板。求解过程基于离散时间间隔内与拉格朗日多项式耦合的传递关系。分析了多层磁电弹性矩形板的静态行为，主要结果是粘弹性界面效应对多功能结构的动态行为。通过这种耦合状态空间-拉格朗日多项式方法已经获得了新的结​​果。本文详细阐述的数学过程是原始的，可以对粘弹性界面的影响进行数值研究。通过执行变体数值测试证明了所提出方法的有效性。

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