A semi-analytical method for the dynamic analysis of cylindrical shells with arbitrary boundaries
A semi-analytical method for the dynamic analysis of cylindrical shells with arbitrary boundaries
复制标题
任意边界圆柱壳动力分析的半解析方法
DOI：
10.1016/j.oceaneng.2019.02.074
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发表时间：
2019-04
影响因子：
5
通讯作者：
Leng Jianxing
中科院分区：
文献类型：
--
作者：
Liang Xu;Zha Xing;Jiang Xue;Cao Zeng;Wang Yuhong;Leng Jianxing
本文研究了任意边界圆柱壳的动力特性。应用Love壳理论和汉密尔顿原理推导了圆柱壳的运动方程。本文提出了一种半解析方法来研究这一现象，该方法结合了Durbin的逆拉普拉斯变换、微分求积法和傅里叶级数展开技术。微分求积法的使用提供了一个解决方案的轴向方向，而使用杜宾的数值反演方法产生的解决方案在时域。计算的频率参数的比较，从文献中得出的说明了该方法的有效性。收敛性检验表明，该方法收敛速度快，时程响应与Navier解吻合较好。对比两种壳理论的时程响应，发现当厚径比足够小时，两种壳理论的结果吻合较好。分析了边界对圆柱壳时程响应的影响，指出峰值位移与边界自由度密切相关。进一步研究了长径比和厚径比对峰值位移的影响。
The dynamic behavior of cylindrical shells with arbitrary boundaries is studied in this paper. Love's shell theory and Hamilton's principle are employed to derive the motion equations for cylindrical shells. A semi-analytical methodology, which incorporates Durbin's inverse Laplace transform, differential quadrature method and Fourier series expansion technique, is proposed to investigate this phenomenon. The use of the differential quadrature method provides a solution in terms of the axial direction whereas the use of Durbin's numerical inversion method generates a solution in the time domain. Comparison of calculated frequency parameters to that derived from the literature illustrates the effectiveness of the method. Specifically, convergence tests indicate that the present approach has a rapid convergence, the time-history response and the Navier's solution are in great agreement. Comparisons between time-history responses derived by two shell theories show that the results fit well with each other when the thickness-radius ratios are small enough. An analysis of the influences of boundaries on the time-history response of cylindrical shells indicates that the peak displacement is closely related to the degrees of freedom of boundaries. The influences of the length-radius ratios and the thickness-radius ratios on the peak displacement are further investigated.
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影响因子：
1.6
作者：
C. Loy;K. Lam;C. Shu
通讯作者：
C. Loy;K. Lam;C. Shu
DOI：
10.1016/b978-0-08-044271-6.x5000-5
发表时间：
2004-02
期刊：
--
影响因子：
--
作者：
M. Qatu
通讯作者：
M. Qatu
DOI：
10.1002/zamm.201000236
发表时间：
2012-02
期刊：
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
影响因子：
--
作者：
S. Maleki;M. Tahani-;A. Andakhshideh
通讯作者：
S. Maleki;M. Tahani-;A. Andakhshideh
影响因子：
5.6
作者：
Frikha, A.;Zghal, S.;Dammak, F.
通讯作者：
Dammak, F.
影响因子：
0.9
作者：
Ö. Civalek
通讯作者：
Ö. Civalek