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首页> 外文期刊>Composite Structures >Free vibrations of anisotropic doubly-curved shells and panels of revolution with a free-form meridian resting on Winkler-Pasternak elastic foundations
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Free vibrations of anisotropic doubly-curved shells and panels of revolution with a free-form meridian resting on Winkler-Pasternak elastic foundations

机译：各向异性双曲壳和旋转面板的自由振动，自由子午线位于Winkler-Pasternak弹性地基上

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摘要

The Generalized Differential Quadrature (GDQ) method is applied to study the dynamic behavior of anisotropic doubly-curved shells and panels of revolution with a free-form meridian resting on Winkler-Pasternak elastic foundations. The First-order Shear Deformation Theory (FSDT) is used to analyze the above mentioned moderately thick structural elements. In order to include the effect of the initial curvature from the beginning of the theory formulation a generalization of the kinematical model is adopted for the Reissner-Mindlin and Toorani-Lakis theory. By so doing a generalization of the theory of anisotropic doubly-curved shells and panels of revolution is proposed. Simple Rational Bezier curves are used to define the meridian curve of the revolution structures. The Differential Quadrature (DQ) rule is introduced to determine the geometric parameters of the structures with a free-form meridian. Results are obtained taking the meridional and circumferential co-ordinates into account, without using the Fourier modal expansion methodology. Comparisons between the general formulation and the Classical Reissner-Mindlin and Classical Toorani-Lakis theory are presented. New results are presented in order to investigate the effects of the Winkler modulus, the Pasternak modulus and the inertia of the elastic foundation on the free vibrations of anisotropic shells of revolution with a free-form meridian.
机译：广义差分正交（GDQ）方法用于研究各向异性双曲线壳和旋转盘的动力学行为，其中自由形子午线位于Winkler-Pasternak弹性地基上。一阶剪切变形理论（FSDT）用于分析上述中等厚度的结构单元。为了从理论公式的开始就包括初始曲率的影响，对Reissner-Mindlin和Toorani-Lakis理论采用了运动学模型的概括。通过这样做，提出了各向异性双曲壳和旋转面板理论的推广。简单的有理贝塞尔曲线用于定义旋转结构的子午线曲线。引入了差分正交（DQ）规则来确定具有自由形式子午线的结构的几何参数。在不使用傅立叶模态展开方法的情况下，在考虑子午线和周向坐标的情况下获得了结果。提出了一般公式与古典Reissner-Mindlin和古典Toorani-Lakis理论之间的比较。为了研究Winkler模量，Pasternak模量和弹性地基的惯性对各向异性自由旋转子午线旋转壳的自由振动的影响，提出了新的结果。

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