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A semi-analytical solution for stress analysis of moderately thick laminated cylindrical panels with various boundary conditions

机译：具有不同边界条件的中厚叠层圆柱面板应力分析的半解析解

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摘要

Stress analysis of moderately thick laminated cylindrical panels with different loading and boundary conditions is presented. Boundary conditions include clamped, simply supported and free while uniform and sinusoidal distributed loadings are considered. Assuming effects of shear deformation and initial curvature, governing equations of the problem are derived. The governing partial differential equations (PDEs) in terms of three displacement components, two rotations and ten stress resultants include a system of 15 first order PDEs. Application of the extended Kantorovich method (EKM) to the governing equations yields to a double set of algebric-differential equations in terms of x and 0. The resulted systems are then solved iteratively with very fast convergence. It is demonstrated that the method converges rapidly independent of initial guess functions. Comparisons of the EKM predictions with other analytical and FEM analyses are in close agreement. More results for panels with particular boundary conditions are presented for future studies.
机译：提出了在不同载荷和边界条件下中等厚度的叠层圆柱面板的应力分析。边界条件包括夹紧，简单支撑和自由，同时考虑均匀和正弦分布的载荷。假定剪切变形和初始曲率的影响，得出该问题的控制方程。在三个位移分量，两个旋转和十个应力合力方面的主要控制偏微分方程（PDE）包括一个由15个一阶PDE组成的系统。将扩展的Kantorovich方法（EKM）应用于控制方程，得到了x和0的一组双组代数-微分方程。然后以非常快速的收敛迭代地求解所得系统。证明了该方法快速收敛，而与初始猜测函数无关。 EKM预测与其他分析和FEM分析的比较非常吻合。提出了具有特定边界条件的面板的更多结果，以供将来研究。

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