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Free vibrations of functionally graded viscoelastic cylindrical panel under various boundary conditions

机译：功能梯度粘弹性圆柱板在各种边界条件下的自由振动

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摘要

Polymeric foams are new materials which prefer special mechanical and thermal properties for mechanical designers. The best mathematical model for polymeric and metallic foams is functionally graded viscoelastic (FGV) materials. So, this paper has concentrated on presenting a reliable and accurate method for free vibration of FGV panels. For this purpose, Levy-type circular cylindrical panel consisting of FGV material is modeled based on Sanders first order shear deformation type theory, as geometrical model, and linear Zener model with variable properties through the thickness, as the best constitutive relation for FGV materials. Validity and accuracy of present method are approved by comparing it with finite element in different tables. Also, effects of various geometrical and material parameters on natural frequencies and decay rate are studied. (C) 2015 Elsevier Ltd. All rights reserved.
机译：聚合物泡沫是新材料，对于机械设计师而言，它们更喜欢特殊的机械和热性能。聚合物泡沫和金属泡沫的最佳数学模型是功能梯度粘弹性（FGV）材料。因此，本文集中在提出一种可靠，准确的FGV面板自由振动方法。为此，基于桑德斯一阶剪切变形类型理论（作为几何模型）和具有可变厚度特性的线性齐纳模型（由FGV材料组成的最佳本构关系），对由FGV材料组成的Levy型圆柱面板进行建模。通过与不同表中的有限元进行比较，证明了本方法的有效性和准确性。此外，研究了各种几何和材料参数对固有频率和衰减率的影响。 （C）2015 Elsevier Ltd.保留所有权利。

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