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A double-superposition global-local theory for vibration and dynamic buckling analyses of viscoelastic composite/ sandwich plates: a complex modulus approach

机译:粘弹性复合材料/夹层板振动和动力屈曲分析的双叠加全局局部理论:复模量法

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摘要

A higher-order global-local theory is proposed based on the double-superposition concept for free vibration and dynamic buckling analyses of viscoelastic composite/sandwich plates subjected to thermome-chanical loads. In contrast to all theories proposed so far for analysis of the viscoelastic plates, the continuity conditions of the transverse shear and normal stresses at the layer interfaces and the nonzero traction conditions at the top and bottom surfaces of the sandwich plates are satisfied. Another novelty is that these conditions may be satisfied for viscoelastic plates with temperature-dependent material properties and nonlinear behaviors subjected to thermomechanical loads. Furthermore, transverse flexibility is also taken into account. Some dynamic buckling/wrinkling analyses of the viscoelastic plates are performed in the present paper, for the first time. Comparisons made between results of the paper and results reported by well-known references confirm the accuracy and the efficiency of the proposed theory and the relevant solution algorithm.
机译:提出了一种基于双重叠加概念的高阶全局局部理论,对粘弹性复合材料/夹层板在热机械作用下的自由振动和动态屈曲进行了分析。与迄今为止提出的用于分析粘弹性板的所有理论相反,满足了层界面处的横向剪力和法向应力的连续性条件,以及夹层板的上下表面的非零牵引条件。另一个新颖之处在于,对于具有随温度变化的材料特性和承受热机械载荷的非线性行为的粘弹性板,可以满足这些条件。此外,还考虑了横向挠性。本文首次对粘弹性板进行了一些动态屈曲/起皱分析。本文结果与知名参考文献报告的结果进行了比较,证实了所提出理论和相关求解算法的准确性和有效性。

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