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Hierarchic finite elements based on a unified formulation for the static analysis of shear actuated multilayered piezoelectric plates

机译:基于统一公式的分层有限元用于剪切激励多层压电板的静力分析

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Purpose - The purpose of this paper is to present several two-dimensional plate elements for the analysis of shear actuated laminate. Design/methodology/approach - The limitations of the classical formulations based on the principle of virtual displacements in depicting the peculiar behavior of the transverse and normal stresses of multilayered structures have been easily overcome by using the mixed variational theorem proposed by Reissner (Reissner mixed variational theorem). In the framework of a unified formulation (UF), the assumptions of the unknowns is made through a common expansion leading both to global and layerwise description of the assumed unknowns. In addition, the possibility to choose the order of the expansion between one and four allows to be derived and compared 22 different plate models. The performances of the proposed elements have tested on application for whom an exact solution is available in open literature. Findings - The obtained results complain quite well with the exact ones even if the need of advanced plate models come to evidence. Originality/value - This paper describes how the capabilities of the UF to accurately analyze multilayered structures exploiting the shear mode actuation have been tested and states that in order to extend the capabilities of the UF, further efforts should be made toward the assumptions of discontinuous electric fields (potential and normal displacement). The paper confirms the need for advanced higher order plate models in modeling of adaptive laminate.
机译:目的-本文的目的是介绍几种二维板元件,用于分析剪切致动层压板。设计/方法/方法-通过使用Reissner提出的混合变分定理(Reissner混合变分定理),可以轻松克服基于虚拟位移原理的经典公式在描述多层结构的横向和法向应力的特殊行为方面的局限性定理)。在统一表述(UF)的框架中,未知数的假设是通过共同的扩展进行的,从而导致对假设的未知数进行全局和分层描述。此外,可以选择一到四个膨胀阶数的可能性,可以得出并比较22种不同的板块模型。所提议元素的性能已在公开文献中针对确切解决方案的应用进行了测试。结果-即使需要先进的平板模型,所获得的结果也与确切的结果相吻合。原创性/价值-本文描述了超滤利用剪切模式驱动来准确分析多层结构的能力如何经过测试,并指出为了扩展超滤的能力,应进一步努力应对不连续电的假设场(潜在和法向位移)。本文确认了在自适应层压板建模中需要高级的高阶板模型。

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