A Hybrid Interpolation Method for Geometric Nonlinear Spatial Beam Elements with Explicit Nodal Force
A Hybrid Interpolation Method for Geometric Nonlinear Spatial Beam Elements with Explicit Nodal Force
复制标题
具有显式节点力的几何非线性空间梁单元的混合插值方法
DOI：
10.1155/2016/8980676
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发表时间：
2016-02
影响因子：
--
通讯作者：
Qi Zhaohui
中科院分区：
文献类型：
--
作者：
Fang Huiqing;Qi Zhaohui
Based on geometrically exact beam theory, a hybrid interpolation is proposed for geometric nonlinear spatial Euler-Bernoulli beam elements. First, the Hermitian interpolation of the beam centerline was used for calculating nodal curvatures for two ends. Then, internal curvatures of the beam were interpolated with a second interpolation. At this point, C1 continuity was satisfied and nodal strain measures could be consistently derived from nodal displacement and rotation parameters. The explicit expression of nodal force without integration, as a function of global parameters, was founded by using the hybrid interpolation. Furthermore, the proposed beam element can be degenerated into linear beam element under the condition of small deformation. Objectivity of strain measures and patch tests are also discussed. Finally, four numerical examples are discussed to prove the validity and effectivity of the proposed beam element.
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影响因子：
3.3
作者：
A. Shabana;R. Y. Yakoub
通讯作者：
A. Shabana;R. Y. Yakoub
DOI：
10.1016/j.ijnonlinmec.2013.01.012
发表时间：
2013-07
影响因子：
3.2
作者：
J. B. Jonker;J. Meijaard
通讯作者：
J. B. Jonker;J. Meijaard
影响因子：
4.7
作者：
J. Ryu;Sang-Sup Kim;Sung-Soo Kim
通讯作者：
J. Ryu;Sang-Sup Kim;Sung-Soo Kim
影响因子：
5.6
作者：
Shabana, AA
通讯作者：
Shabana, AA
影响因子：
3.3
作者：
R. Y. Yakoub;A. Shabana
通讯作者：
R. Y. Yakoub;A. Shabana