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| Eight-node quadrilateral hybrid shell element with Drilling degrees of freedom |
| Received:December 20, 2023 Revised:January 31, 2024 |
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| DOI：10.7511/jslx20231220001 |
| KeyWord:unsymmetric finite element method hybrid stress element airy stress function flat shell element |
| Author | Institution |
| 马旭 |
燕山大学 理学院, 秦皇岛 |
| 杨炫峥 |
燕山大学 理学院, 秦皇岛 |
| 李坦 |
燕山大学 理学院, 秦皇岛 |
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| Abstract: |
| In this paper,an eight-node quadrilateral hybrid shell element QFUQA8 is constructed,in which the refined uncoordinated membrane part has drilling degrees of freedom.The combined mass matrix is improved by using two kinds of displacement fields,and the computational accuracy of the element is improved by selecting different parameters of the refined elements.The interpolation function is constructed based on the stress field of the element obtained from the analytical solution of the Airy stress function,and the drilling rotation is added to the displacement field of the eight-node isotropic element to determine the test function;the boundary displacement interpolation of the element is constructed in the plate part with the Timoshenko beam function of arbitrary order,and the Airy stress function is used as the assumed stress function,which is corrected for the presence of a warped structure of the element by means of the projection to the mean surface.Numerical examples show that the constructed flat plate-shell elements pass the non-zero constant shear patch test and have good accuracy and convergence in structural analysis of shells. |
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