Abstract
In this paper, the substructuring technique is extended for the dynamics simulation of flexible beams with large deformation. The dynamics equation of a spatial straight beam undergoing large displacement and small deformation is deduced by using the Jourdain variation principle and the model synthesis method. The longitudinal shortening effect due to the transversal deformation is taken into consideration in the dynamics equation. In this way, the geometric stiffening effect, which is also called stress stiffening effect, is accounted for in the dynamics equation. The transfer equation of the flexible beam is obtained by assembling the dynamics equation and the kinematic relationship between the two connection points of the flexible beam. Treating a flexible beam with small deformation as a substructure, one can solve the dynamics of a flexible beam with large deformation by using the substructuring technique and the transfer matrix method. The dynamics simulation of a flexible beam with large deformation is carried out by using the proposed approach and the results are verified by comparing with those obtained from Abaqus software.
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Foundation item: Ordinary University Graduate Student Research Innovation Projects of Jiangsu Province (No. CXZZ12 0177) and the National Natural Science Foundation of China (No. 61304137)
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Zhang, J., Rui, X., Liu, F. et al. Substructuring technique for dynamics analysis of flexible beams with large deformation. J. Shanghai Jiaotong Univ. (Sci.) 22, 562–569 (2017). https://doi.org/10.1007/s12204-017-1875-8
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DOI: https://doi.org/10.1007/s12204-017-1875-8