General higher-order shear deformation theories for the free vibration analysis of completely doubly-curved laminated shells and panels
General higher-order shear deformation theories for the free vibration analysis of completely doubly-curved laminated shells and panels
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DOI：
10.1016/j.compstruct.2012.08.005
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发表时间：
2013
影响因子：
6.3
通讯作者：
E. Viola;Francesco Tornabene;N. Fantuzzi
中科院分区：
文献类型：
--
作者：
E. Viola;Francesco Tornabene;N. Fantuzzi
本文的主要目的是为中厚双弯曲层合壳板的计算和动力分析提供一个通用框架。提出了一种二维高阶剪切变形理论，并利用微分几何定义了具有不同曲率的壳和板中间表面的任意形状。本文介绍了一种广义的九参数位移场，它适用于用统一的形式表示文献中提出的大多数运动学假设。为了说明著名的一阶剪切变形理论（FSDT）和几种高阶剪切变形理论（hsdt）之间的差异，对各种理论进行了形式化比较。利用广义微分正交（GDQ）技术对二维自由振动壳问题进行了数值求解。本文还利用GDQ规则对微分几何所涉及的量的导数进行了数值计算，以完整地描述双弯曲壳结构的参考曲面。对四种类型的壳结构进行了数值研究。将GDQ结果与文献中给出的结果和使用Abaqus等商业程序得到的结果进行了比较。观察到非常好的一致性。
The main aim of this paper is to provide a general framework for the formulation and the dynamic analysis computations of moderately thick laminated doubly-curved shells and panels. A 2D higher-order shear deformation theory is also proposed and the differential geometry is used to define the arbitrary shape of the middle surface of shells and panels with different curvatures. A generalized nine-parameter displacement field suitable to represent in a unified form most of the kinematical hypothesis presented in literature has been introduced. Formal comparison among various theories have been performed in order to show the differences between the well-known First-order Shear Deformation Theory (FSDT) and several Higher-order Shear Deformation Theories (HSDTs). The 2D free vibration shell problems have been solved numerically using the Generalized Differential Quadrature (GDQ) technique. The GDQ rule has been also used to perform the numerical evaluation of the derivatives of the quantities involved by the differential geometry to completely describe the reference surfaces of doubly-curved shell structures. Numerical investigations concerning four types of shell structures have been carried out. GDQ results are compared with those presented in literature and the ones obtained using commercial programs such as Abaqus. Very good agreement is observed.