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Dynamic and Static Behaviors of Multilayered Magneto-electro-elastic Laminates With Viscoelastic Interfaces based on Winkler-Pasternak Foundation

机译:基于Winkler-Pasternak基础的粘弹性界面多层磁极电弹性层压板的动态和静态行为

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In this communication, the state space method is used to analyze the dynamic behavior in Laplace domain of laminated magneto-electro-elastic rectangular plates with viscoelastic interfaces and simply supported boundary conditions based on a Winkler-Pasternak elastic Foundation, and then it is transferred to the time domain by the Fourier inversion method. 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 methodology is based on the mixed formulation, in which basic unknowns are formed by collecting displacements, stresses, electrical displacements, electrical potential, magnetic induction and magnetic potential. As special case, multilayered rectangular plate is analyzed under the surface loading with simply supported boundary conditions based on an elastic foundation. A variant numerical tests shown the effect of the Winkler-Pasternak Foundation on a magneto-electro-elastic rectangular plates dynamic behavior and may contribute to optimize the design and the manufacturing of these materials.
机译:在该通信中,状态空间方法用于分析带粘弹性界面的层叠磁力 - 电弹性矩形板的拉普拉斯域中的动态行为,并基于Winkler-Pasternak弹性基础的简单支持的边界条件,然后转移到傅里叶反转方法的时域。 Kelvin-Voigt模型用于考虑粘弹性界面效果。以一般形式阐述数学制剂,并且可以考虑任意数量的层以及正交行为。该方法基于混合制剂,其中通过收集位移,应力,电容器,电位,磁感应和磁电位来形成基本未知。作为特殊情况,在表面负载下分析了多层矩形板,基于弹性基础。变型数值测试示出了Winkler-Pasternak基础对磁电弹性矩形板动态行为的影响,并且可以有助于优化这些材料的设计和制造。

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