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首页> 外文期刊>Latin American Journal of Solids and Structures >Research on Free Vibration Frequency Characteristics of Rotating Functionally Graded Material Truncated Conical Shells with Eccentric Functionally Graded Material Stringer and Ring Stiffeners
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Research on Free Vibration Frequency Characteristics of Rotating Functionally Graded Material Truncated Conical Shells with Eccentric Functionally Graded Material Stringer and Ring Stiffeners

机译：偏心功能梯度材料纵梁和环形加劲肋的旋转功能梯度材料截顶圆锥壳的自由振动频率特性研究

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摘要

In this research work, an exact analytical solution for frequency characteristics of the free vibration of rotating functionally graded material (FGM) truncated conical shells reinforced by eccentric FGM stringers and rings has been investigated by the displacement function method. Material properties of shell and stiffeners are assumed to be graded in the thickness direction according to a simple power law distribution. The change of spacing between stringers is considered. Using the Donnell shell theory, Leckhnisky smeared stiffeners technique and taking into account the influences of centrifugal force and Coriolis acceleration the governing equations are derived. For stiffened FGM conical shells, it is difficult that free vibration equations are a couple set of three variable coefficient partial differential equations. By suitable transformations and applying Galerkin method, this difficulty is overcome in the paper. The sixth order polynomial equation for w is obtained and it is used to analyze the frequency characteristics of rotating ES-FGM conical shells. Effects of stiffener, geometrics parameters, cone angle, vibration modes and rotating speed on frequency characteristics of the shell forward and backward wave are discussed in detail. The present approach proves to be reliable and accurate by comparing with published results available in the literature.
机译：在这项研究工作中，通过位移函数法研究了由偏心FGM桁条和环增强的旋转功能梯度材料（FGM）截顶圆锥壳的自由振动频率特性的精确解析解。假定壳和加劲肋的材料性能根据简单的幂律分布在厚度方向上分级。考虑纵梁之间的间距的变化。利用Donnell壳理论，Leckhnisky涂抹了加强筋技术，并考虑到离心力和科里奥利加速度的影响，得出了控制方程。对于加劲的FGM圆锥壳，很难将自由振动方程式设为三个可变系数偏微分方程式的对。通过适当的转换并应用Galerkin方法，本文克服了这一困难。得到了w的六阶多项式方程，并将其用于分析旋转ES-FGM圆锥壳的频率特性。详细讨论了加劲肋，几何参数，锥角，振动模式和转速对壳体正向和反向波频率特性的影响。通过与文献中可获得的公开结果进行比较，本方法被证明是可靠和准确的。

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