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首页> 外文期刊>American journal of engineering and applied sciences >Efficient Co-Rotational 3-Node Shell Element
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Efficient Co-Rotational 3-Node Shell Element

机译：高效协变三节点壳单元

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摘要

Geometric nonlinear FE-analysis of thin-walled shell structures, using a co-rotational formulation and the Cell Smoothed Discrete Shear Gap triangular shell element (CS-DSG3) is presented in this study. The CS-DSG3 element formulation uses the Mindlin-Reissner kinematic hypothesis to include transverse shear effects. In order to avoid locking effects Discrete Shear Gap (DSG) method is applied. In addition, cell based smoothing technique is adopted in order to improve accuracy and stability of the element. For the purpose of comparison, the Discrete Kirchhoff-Constant strain-Triangle (DKT-CST) is also implemented and studied in the linear static analysis. In the framework of the co-rotational FE-analysis rotations and displacements are adopted as finite, while strains are infinitesimal. Large rotation theory has been utilized to take into account the non-vectorial characteristic of rotations. Several static linear and nonlinear benchmark examples are presented and compared with commercial FE software Abaqus and analytical results. The presented approach, using CS-DSG3 element in co-rotational nonlinear analysis, illustrates very good results compared to reference solution and Abaqus results. The numerical effort can be reduced compared to Lagrange formulation with a similar accuracy for the studied cases. The formulation (including CS-DSG3 shell element) has been implemented into a test program.
机译：在这项研究中，提出了使用同向旋转公式和单元平滑离散剪切间隙三角形壳单元（CS-DSG3）的薄壁壳结构的几何非线性有限元分析。 CS-DSG3元素公式使用Mindlin-Reissner运动学假设来包括横向剪切效应。为了避免锁定效果，应用了离散剪切间隙（DSG）方法。另外，采用基于单元的平滑技术以提高元件的精度和稳定性。为了进行比较，还对线性静态分析中的离散基尔霍夫常数应变三角形（DKT-CST）进行了研究。在同向旋转有限元分析的框架内，旋转和位移被认为是有限的，而应变是最小的。大旋转理论已被用来考虑旋转的非矢量特性。给出了几个静态线性和非线性基准示例，并将它们与商业有限元软件Abaqus进行了比较和分析结果。与参考溶液和Abaqus结果相比，该方法在共旋转非线性分析中使用CS-DSG3元素，显示了非常好的结果。与拉格朗日公式相比，可以减少数值工作量，并且在研究案例中具有相似的精度。该配方（包括CS-DSG3外壳元素）已实施到测试程序中。

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