Finite integral transform method for analytical solutions of static problems of cylindrical shell panels
Finite integral transform method for analytical solutions of static problems of cylindrical shell panels
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DOI：
10.1016/j.euromechsol.2020.104033
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发表时间：
2020-09
期刊：
影响因子：
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通讯作者：
Dongqi An;Dian Xu;Zhuofan Ni;Yewang Su;Bo Wang;Rui Li
中科院分区：
文献类型：
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作者：
Dongqi An;Dian Xu;Zhuofan Ni;Yewang Su;Bo Wang;Rui Li
本文提出了一种双重有限积分变换方法，用于求解经典半逆方法所得的无自由边非Léviy型圆柱壳的弯曲解析解。对控制高阶偏微分方程组进行三重有限积分变换，在一定的边界条件下，得到变换量与特定未知量之间的关系。将反演合到剩余的边界条件中，得到线性代数方程组，它决定了最终的解析解。文中给出了具有代表性的固支和简支组合圆柱壳板的综合基准结果，并与其他方法进行了比较，结果令人满意。由于其严格和直接的求解过程，所开发的方法为探索新的解析解提供了一种可靠的、易于实现的方法。
In this paper, a double finite integral transform method is developed for analytical bending solutions of non-Lévy-type cylindrical shell panels without a free edge that were not obtained by classical semi-inverse methods. Three double finite integral transforms are imposed on the governing high-order partial differential equations, which, with some boundary conditions, yields the relationship between the transformed quantities and specific unknowns. Incorporating the inversions into the remaining boundary conditions leads to systems of linear algebraic equations, which determine the final analytical solutions. Comprehensive benchmark results for representative cylindrical shell panels with combinations of clamped and simply supported edges are presented, which are well validated by satisfactory agreement with other solution methods. Due to its rigorous and straightforward solution procedure, the developed method provides a solid easy-to-implement approach for exploring new analytical solutions.