The non-linear dynamics of FGM truncated conical shells surrounded by an elastic medium
The non-linear dynamics of FGM truncated conical shells surrounded by an elastic medium
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DOI：
10.1016/j.ijmecsci.2012.10.006
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发表时间：
2013-01-01
影响因子：
7.3
通讯作者：
Sofiyev, A. H.
中科院分区：
文献类型：
--
作者：
Najafov, A. M.;Sofiyev, A. H.
本文采用von Karman-Donnell类运动非线性的大变形理论，研究了弹性介质包围的功能梯度(FG)截断圆锥壳的非线性动力分析。假定FG截断锥壳的材料性能沿厚度方向连续变化。采用Pasternak模型描述弹性地基对FG锥壳的反作用。推导了弹性介质中FG截断圆锥壳的基本关系式、非线性运动方程和协调方程。利用叠加法、Galerkin法和调和平衡法，求解了FG截断圆锥壳在弹性介质中的非线性振动问题。最后，研究了弹性介质、成分分布和锥壳特性的变化对频率-幅值关系的影响。将本文的结果与一种特殊情况下的现有数据进行了比较。(C)2012爱思唯尔有限公司。保留所有权利。
In this study, the non-linear dynamic analysis of functionally graded (FG) truncated conical shells surrounded by an elastic medium has been investigated using the large deformation theory with von Karman-Donnell-type of kinematic non-linearity. The material properties of FG truncated conical shell are assumed to vary continuously through the thickness direction. The Pasternak model is used to describe the reaction of the elastic foundation on the FG conical shell. The fundamental relations, the non-linear motion and compatibility equations of FG truncated conical shells surrounded by an elastic medium are derived. By using the Superposition method, Galerkin method and Harmonic balance method, the problem of non-linear vibration of the FG truncated conical shell surrounded by an elastic medium is solved. Finally, the influences of variations of the elastic medium, compositional profiles and conical shell characteristics on the frequency-amplitude relations are investigated. The present results are compared with the available data for a special case. (c) 2012 Elsevier Ltd. All rights reserved.