Semi-analytical vibration analysis of FGM cylindrical shells surrounded by elastic foundations in a thermal environment
Semi-analytical vibration analysis of FGM cylindrical shells surrounded by elastic foundations in a thermal environment
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热环境下弹性基础包围的 FGM 圆柱壳的半解析振动分析
DOI：
10.1016/j.compstruct.2019.110997
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发表时间：
2019-09
影响因子：
6.3
通讯作者：
Leng Jianxing
中科院分区：
文献类型：
--
作者：
Liang Xu;Zha Xing;Yu Yang;Cao Zeng;Jiang Xue;Leng Jianxing
本文计算了任意边界条件下功能梯度材料圆柱壳的固有频率和瞬时响应。将Durbin拉普拉斯逆变换和微分求积法相结合，提出了一种新的分析圆柱壳动力行为的半解析方法。采用Durbin的数值反演法进行时间域解的求解。在圆周方向采用三角级数展开，而在轴向采用微分求积法。比较表明，计算的固有频率与文献结果吻合较好。收敛研究表明，该方法随着采样点的增加而快速收敛，并与Navier解进行了比较，验证了所计算的圆柱壳的瞬态响应。分析了边界条件、材料级配指标、温度变化、弹性地基系数和几何参数对动力响应的影响。数值结果表明，圆柱壳的峰值位移随温度变化和长径比的增大而增大，随弹性地基系数和厚径比的减小而增大。
The natural frequency and transient response of FGM cylindrical shells under arbitrary boundary conditions are performed in present work. A novel semi-analytical method, which integrates Durbin’s inverse Laplace transform and the differential quadrature method, is developed to analyze the dynamical behavior of cylindrical shells. Durbin’s numerical inversion method is selected to gain time domain solutions. The trigonometric series expansion is used in the circumferential direction whereas the use of differential quadrature method provides numerical solutions in terms of axial direction. Comparisons show that the calculated natural frequencies are in good agreement with results in the literature. Convergence study illustrates that the developed method is rapidly convergent with the increase of sampling points, and the calculated transient response of the cylindrical shell is validated by comparing with Navier’s solution. The influences of boundary conditions, material graded indexes, temperature changes, elastic foundation coefficients and geometric parameters on transient response are analyzed. Numerical results indicate that the peak displacement of cylindrical shells increases with the increase of temperature changes and length-radius ratios or the decrease of elastic foundation coefficients and thickness-radius ratios.
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影响因子：
1.6
作者：
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通讯作者：
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影响因子：
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作者：
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