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Non-linear analysis of moderately thick sector plates

机译:中厚扇形板的非线性分析

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摘要

Non-linear static analysis of moderately thick sector plates under uniformly distributed loading is presented. Using the first-order shear deformation theory and Von Karman type non-linearity, the governing equations of equilibrium are developed and expressed in terms of displacement components. The Chebyshev polynomial is used for spatial discretization of the differential equations. An iterative incremental approach based on Newton-Raphson method is used for the solution. Convergence study is carried out. Effects of annularity, thickness ratio, sector angle and boundary conditions are investigated. Results are compared with those available from the literature.
机译:提出了均匀分布载荷下中等厚度扇形板的非线性静力分析。利用一阶剪切变形理论和Von Karman型非线性,建立了平衡控制方程,并用位移分量表示。 Chebyshev多项式用于微分方程的空间离散化。该解决方案采用了基于牛顿-拉夫森法的迭代增量法。进行收敛研究。研究了圆度,厚度比,扇形角和边界条件的影响。将结果与文献中的结果进行比较。

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