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首页> 外文期刊>International journal of non-linear mechanics >Nonlinear large deformation analysis of shells using the variational differential quadrature method based on the six-parameter shell theory
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Nonlinear large deformation analysis of shells using the variational differential quadrature method based on the six-parameter shell theory

机译：基于六参数壳理论的变分求积法非线性壳体大变形分析

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摘要

The present work is concerned with the application of the variational differential quadrature (VDQ) method (Faghih Shojaei and Ansari, 2017), in the area of computational mechanics, to the nonlinear large deformation analysis of shell-type structures. To this end, based on the six-parameter shell model, the functional of energy in quadratic form is derived based on Hamilton's principle which is then directly discretized by the VDQ technique. The formulation of article is presented in a general form so that it can be readily used for different structures such as beams, annular plates, cylindrical shells and hemispherical shells under various loading conditions. In order to reveal the accuracy of developed solution strategy, it is tested in several popular benchmark problems for the geometric nonlinear analysis of shells. The results show that the present numerical method is capable of yielding highly accurate solution in the nonlinear large deformation analysis of shells. It is also easy to implement due to its compact and explicit matrix formulation.
机译：目前的工作涉及在计算力学领域中将变分求积（VDQ）方法（Faghih Shojaei和Ansari，2017）应用于壳型结构的非线性大变形分析。为此，基于六参数壳模型，基于汉密尔顿原理导出了二次形式的能量函数，然后通过VDQ技术将其直接离散化。制品的配方以一般形式提供，因此可以在各种负载条件下轻松用于不同的结构，例如梁，环形板，圆柱壳和半球形壳。为了揭示开发的解决方案策略的准确性，在几个流行的基准问题中对壳的几何非线性分析进行了测试。结果表明，该数值方法能够在壳体的非线性大变形分析中提供高精度的求解方法。由于其紧凑而明确的矩阵公式，它也易于实现。

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