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.

针对非自由面非Lévy型圆柱壳面板的弯曲分析问题，本文开发了一种双有限积分变换方法，而传统的半反方法无法获得这种弯曲解。在控制的高阶偏微分方程上施加了三个双重有限积分变换，在某些边界条件下，得出了变换量和特定未知数之间的关系。将反演纳入剩余的边界条件会导致线性代数方程组，这些方程组决定了最终的解析解。提出了具有代表性的圆柱形外壳面板的综合基准测试结果，这些面板具有夹紧的边缘和简单支撑的边缘，并通过与其他解决方案的令人满意的协议得到了很好的验证。