A HIGH-ORDER RIGID-FLEXIBLE COUPLING MODEL OF A ROTATING FLEXIBLE BEAM UNDER LARGE DEFORMATION |
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Authors: | Chen Sijia Zhang Dingguo Hong Jiazhen |
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Institution: | 1. Ningbo institute of Technology, Zhejiang University, Ningbo 315100, China;2. School of Sciences, Nanjing University of Science and Technology, Nanjing 210094, China;3. Dept. of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200240, China |
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Abstract: | The dynamic modeling theory of a flexible beam which is rotating in a plane is further studied, and the highorder coupling dynamic model is investigated here. Both the transversal deformation and the longitudinal deformation of the flexible beam are considered. And the non-linear coupling deformation term, also known as the longitudinal shortening term caused by transversal deformation, is considered here. The high-order terms related to the non-linear coupling term are retained, which are ignored in the first-order approximation coupling modeling. Thus, we can get the rigid-flexible coupling dynamic equations of the system. The high-order coupling model can not only be used in small deformation case, but also in large deformation case. Then simulations, compared to the absolute nodal coordinate formulation and the first-order coupling model, are given to prove the validity of the high-order coupling model. And the results show that the high-order coupling model can make up for the deficiency of the first-order approximation coupling model in the large deformation situation. |
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Keywords: | flexible beam|high-order coupling|dynamics|large deformation |
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