A Spatial Euler-Bernoulli Beam Element for Rigid-Flexible Coupling Dynamic Analysis of Flexible Structures
A two-node spatial beam element with the Euler-Bernoulli assumption is developed for the nonlinear dynamic analysis of slender beams undergoing arbitrary rigid motions and large deformations. During the analysis, the global displacement and rotation vectors with six degrees of freedom are selected a...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2015/208127 |
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| author | Zhigang Zhang Zhaohui Qi Zhigang Wu Huiqing Fang |
| author_facet | Zhigang Zhang Zhaohui Qi Zhigang Wu Huiqing Fang |
| author_sort | Zhigang Zhang |
| collection | DOAJ |
| description | A two-node spatial beam element with the Euler-Bernoulli assumption is developed for the nonlinear dynamic analysis of slender beams undergoing arbitrary rigid motions and large deformations. During the analysis, the global displacement and rotation vectors with six degrees of freedom are selected as the nodal coordinates. In addition, the “shear locking” problem is avoided successfully since the beam cross-sections are always perpendicular to the current neutral axes by employing a special coupled interpolation of the centroid position and the cross-section orientation. Then a scheme is presented where the original transient strains representing the nodal forces are replaced by proposed average strains over a small time interval. Thus all the high frequencies can be filtered out and a corresponding equivalent internal damping will be produced in this new formulation, which can improve the computation performance of the proposed element for solving the stiff problem and evaluate the governing equations even by using the nonstiff ordinary differential equation solver. Finally, several numerical examples are carried out to verify the validation and efficiency of this proposed formulation by comparison with the analytical solutions and other research works. |
| format | Article |
| id | doaj-art-d507b67a55c245e486a8d0237f923135 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-d507b67a55c245e486a8d0237f9231352025-02-03T00:59:53ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/208127208127A Spatial Euler-Bernoulli Beam Element for Rigid-Flexible Coupling Dynamic Analysis of Flexible StructuresZhigang Zhang0Zhaohui Qi1Zhigang Wu2Huiqing Fang3State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian, Liaoning 116024, ChinaState Key Laboratory of Structural Analysis for Industrial Equipment, Dalian, Liaoning 116024, ChinaState Key Laboratory of Structural Analysis for Industrial Equipment, Dalian, Liaoning 116024, ChinaState Key Laboratory of Structural Analysis for Industrial Equipment, Dalian, Liaoning 116024, ChinaA two-node spatial beam element with the Euler-Bernoulli assumption is developed for the nonlinear dynamic analysis of slender beams undergoing arbitrary rigid motions and large deformations. During the analysis, the global displacement and rotation vectors with six degrees of freedom are selected as the nodal coordinates. In addition, the “shear locking” problem is avoided successfully since the beam cross-sections are always perpendicular to the current neutral axes by employing a special coupled interpolation of the centroid position and the cross-section orientation. Then a scheme is presented where the original transient strains representing the nodal forces are replaced by proposed average strains over a small time interval. Thus all the high frequencies can be filtered out and a corresponding equivalent internal damping will be produced in this new formulation, which can improve the computation performance of the proposed element for solving the stiff problem and evaluate the governing equations even by using the nonstiff ordinary differential equation solver. Finally, several numerical examples are carried out to verify the validation and efficiency of this proposed formulation by comparison with the analytical solutions and other research works.http://dx.doi.org/10.1155/2015/208127 |
| spellingShingle | Zhigang Zhang Zhaohui Qi Zhigang Wu Huiqing Fang A Spatial Euler-Bernoulli Beam Element for Rigid-Flexible Coupling Dynamic Analysis of Flexible Structures Shock and Vibration |
| title | A Spatial Euler-Bernoulli Beam Element for Rigid-Flexible Coupling Dynamic Analysis of Flexible Structures |
| title_full | A Spatial Euler-Bernoulli Beam Element for Rigid-Flexible Coupling Dynamic Analysis of Flexible Structures |
| title_fullStr | A Spatial Euler-Bernoulli Beam Element for Rigid-Flexible Coupling Dynamic Analysis of Flexible Structures |
| title_full_unstemmed | A Spatial Euler-Bernoulli Beam Element for Rigid-Flexible Coupling Dynamic Analysis of Flexible Structures |
| title_short | A Spatial Euler-Bernoulli Beam Element for Rigid-Flexible Coupling Dynamic Analysis of Flexible Structures |
| title_sort | spatial euler bernoulli beam element for rigid flexible coupling dynamic analysis of flexible structures |
| url | http://dx.doi.org/10.1155/2015/208127 |
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