|
| A new method to improve the calculation accuracy of 4-node quadrilateral flat shell element |
| Received:January 21, 2016 Revised:June 12, 2016 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201702012 |
| KeyWord:flat shell element Gauss point local Cartesian coordinate system derivatives of the shape functions with respect to the local coordinates curved shell structure |
| Author | Institution |
| 刘云飞 |
大连理工大学 工业装备结构分析国家重点实验室 航空航天学院 大连 |
| 吕军 |
大连理工大学 工业装备结构分析国家重点实验室 航空航天学院 大连 |
| 高效伟 |
大连理工大学 工业装备结构分析国家重点实验室 航空航天学院 大连 |
|
| Hits: 1617 |
| Download times: 1379 |
| Abstract: |
| The flat shell element is composed of the plane stress element and plate bending element, which have the simple theoretical expressions. But when the curvature of the element surface is large, the numerical results of the flat shell element are not very accurate. In order to improve the performance of the flat shell element, a new method to calculate the element stiffness matrix of the flat shell element is proposed in this paper. By establishing the local Cartesian coordinate systems on each Gauss point over the tangent plane to the surface, the local Cartesian coordinate systems can adapt to the curved element surface better. In order to compute the element stiffness matrix of the flat shell element in these local Cartesian coordinate systems, the corresponding techniques to calculate the derivatives of the shape functions with respect to the local coordinates, the transformation matrix from the Local to the Global Coordinate Systems and Jacobian are also provided in this paper. The 4-node flat shell element DKQ24 based on the theories of the plane stress element and DKQ plate bending element with this new method can achieve higher precision results than the traditional ways, especially for the curved shell structure. The numerical results demonstrate that the flat shell element with this new method not only has simple theoretical expressions but also can obtain satisfactory results. Furthermore, this new method presented in this paper offers a new approach for other flat shell element to improve the computing accuracy. |