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Discretization Methods of a Rotating Flexible Rectangular Thin Plate

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Abstract

The rigid-flexible coupling dynamic modeling theory and the discretization methods of a rotating flexible rectangular thin plate are investigated in this paper. Based on the continuum mechanics, the rigid-flexible coupling dynamic model is established for the flexible rectangular thin plate undergoing large overall rotation, and the coupling term of the deformation which is caused by transverse deformation is considered. Assumed mode method (AMM), spline finite point method (SFPM) and Beizer finite point method (BFPM) are used to describe the deformation of the flexible rectangular plate, and then the dynamic equations of a rotating flexible rectangular thin plate undergoing overall motion are derived by Lagrange’s equation of the second kind. The dynamics of a cantilever plate undergoing large overall rotation is simulated via using different dynamic models, and the simulation results of the first order approximation model are compared with those of the traditional zero-order approximation model. It is shown that the first order approximation model with the dynamic stiffening terms can correctly describe the dynamic behavior of the system undergoing large overall rotation, while the zero-order approximation model cannot get the correct results. And AMM, SFPM, BFPM can well describe the deformation of a rotating flexible rectangular plate.

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Authors and Affiliations

  1. School of Mechanical-Electronic and Power Engineering, Jiangsu University of Science and Technology, Zhangjiagang, 215600, Jiangsu, China

    Jihua Fan  (范纪华)

  2. Suzhou Institute of Technology, Jiangsu University of Science and Technology, Zhangjiagang, 215600, Jiangsu, China

    Jihua Fan  (范纪华) & Hong Shen  (谌 宏)

  3. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, China

    Dingguo Zhang  (章定国)

Authors
  1. Jihua Fan  (范纪华)
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  2. Dingguo Zhang  (章定国)
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  3. Hong Shen  (谌 宏)
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Corresponding author

Correspondence to Dingguo Zhang  (章定国).

Additional information

Foundation item: the National Natural Science Foundation of China (Nos. 11502098 and 11772158), the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province (No. 15KJB130003), the Doctoral Scientific Research Foundation of Jiangsu University of Science and Technology (No. 120140003), and the Fundamental Research Funds for Central Universities of China (No. 30917011103)

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Fan, J., Zhang, D. & Shen, H. Discretization Methods of a Rotating Flexible Rectangular Thin Plate. J. Shanghai Jiaotong Univ. (Sci.) 25, 118–126 (2020). https://doi.org/10.1007/s12204-019-2129-8

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  • DOI: https://doi.org/10.1007/s12204-019-2129-8

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