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| A geometrical nonlinear space beam element with considering deformation coupling |
| Received:June 01, 2013 Revised:November 18, 2013 |
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| DOI：10.7511/jslx201405010 |
| KeyWord:spatial beam elements geometrically nonlinearity finite rotations nodal forces |
| Author | Institution |
| 张志刚 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 齐朝晖 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 吴志刚 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 ;大连理工大学 航空航天学院, 大连 |
| 方慧青 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| In the construction process of beam elements that are capable of tackling geometrical nonlinear problems,such as "the geometrically exact beam elements",the angles describing the rotation of beam sections and the displacements of centroids are interpolated independently.In such elements,the element shape functions cannot represent the coupling effects among the different kinds of deformations when a beam can be viewed as slender,resulting in some difficulties very hard to deal with,such as the redundancy in kinematic description and shear locking.In this paper,traditional beam elements are modified through the detailed study on the interrelations among different kinds of deformation of a beam.Based on the obtained results,we propose a new kind of beam element whose pattern of deformations are coincide with the pattern given by the Bernoulli beams theory,moreover,the interpolation of rotation vectors is not necessary.Three numerical examples are given to validate the proposed element. |
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