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Chebyshev collocation technique for vibration analysis of sandwich cylindrical shells with metal foam core
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-04-07 , DOI: 10.1002/zamm.201900199 Yan Qing Wang 1, 2 , Chao Ye 1 , Junguang Zhu 1
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-04-07 , DOI: 10.1002/zamm.201900199 Yan Qing Wang 1, 2 , Chao Ye 1 , Junguang Zhu 1
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In this paper, we present vibration analysis of a metal foam core sandwich cylindrical thin shell via the Chebyshev collocation method. Three types of metal foam core are taken into account. The governing equations are derived using Hamilton's principle and the Kirchhoff‐Love shell theory. Then, the Chebyshev collocation method is developed to evaluate natural frequencies of the metal foam core sandwich cylindrical shell under various boundary conditions. Results show that the Chebyshev collocation method possesses high accuracy. Moreover, the Sym‐1 metal foam core leads to the largest stiffness of the shell while the Sym‐2 metal foam core leads to the smallest stiffness. The effects of porosity coefficient and core thickness are also highlighted on the vibration characteristics of the metal foam core sandwich cylindrical shell.
中文翻译：
Chebyshev配置技术用于金属泡沫夹心圆柱壳的振动分析。
在本文中，我们通过Chebyshev配置方法对金属泡沫芯夹心圆柱薄壳进行了振动分析。考虑了三种类型的金属泡沫芯。使用汉密尔顿原理和基尔霍夫-洛夫壳理论推导了控制方程。然后，发展了切比雪夫（Chebyshev）搭配方法，以评估在各种边界条件下金属泡沫芯夹层圆柱壳的固有频率。结果表明，切比雪夫搭配方法具有较高的准确性。此外，Sym-1金属泡沫芯导致壳体的最大刚度，而Sym-2金属泡沫芯导致壳体的最小刚度。多孔系数和芯厚度对金属泡沫芯夹层圆柱壳的振动特性也有影响。
更新日期：2020-04-07
中文翻译：
Chebyshev配置技术用于金属泡沫夹心圆柱壳的振动分析。
在本文中，我们通过Chebyshev配置方法对金属泡沫芯夹心圆柱薄壳进行了振动分析。考虑了三种类型的金属泡沫芯。使用汉密尔顿原理和基尔霍夫-洛夫壳理论推导了控制方程。然后，发展了切比雪夫（Chebyshev）搭配方法，以评估在各种边界条件下金属泡沫芯夹层圆柱壳的固有频率。结果表明，切比雪夫搭配方法具有较高的准确性。此外，Sym-1金属泡沫芯导致壳体的最大刚度，而Sym-2金属泡沫芯导致壳体的最小刚度。多孔系数和芯厚度对金属泡沫芯夹层圆柱壳的振动特性也有影响。
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