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Finite difference modeling of sinking stage curved beam based on revised Vlasov equations

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Abstract

For the static analysis of the sinking stage curved beam, a finite difference model was presented based on the proposed revised Vlasov equations. First, revised Vlasov equations for thin-walled curved beams with closed sections were deduced considering the shear strain on the mid-surface of the cross-section. Then, the finite difference formulation of revised Vlasov equations was implemented with the parabolic interpolation based on Taylor series. At last, the finite difference model was built by substituting geometry and boundary conditions of the sinking stage curved beam into the finite difference formulation. The validity of present work is confirmed by the published literature and ANSYS simulation results. It can be concluded that revised Vlasov equations are more accurate than the original one in the analysis of thin-walled beams with closed sections, and that present finite difference model is applicable in the evaluation of the sinking stage curved beam.

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Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, China University of Mining & Technology, Xuzhou, 221008, China

    Lei Zhang  (张磊), Zhen-cai Zhu  (朱真才), Gang Shen  (沈刚) & Guo-Hua Cao  (曹国华)

  2. Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment, China University of Mining & Technology, Xuzhou, 221008, China

    Zhen-cai Zhu  (朱真才), Gang Shen  (沈刚) & Guo-Hua Cao  (曹国华)

Authors
  1. Lei Zhang  (张磊)
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  2. Zhen-cai Zhu  (朱真才)
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  3. Gang Shen  (沈刚)
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  4. Guo-Hua Cao  (曹国华)
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Corresponding author

Correspondence to Zhen-cai Zhu  (朱真才).

Additional information

Foundation item: Project(IRT1292) supported by Fund for Changjiang Scholars and Innovative Research Team in University (PCSIRT), China; Project(51475456) supported by the National Natural Science Foundation of China; Project supported by the Priority Academic Program Development (PAPD) of Jiangsu Higher Education Institutions, China

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Zhang, L., Zhu, Zc., Shen, G. et al. Finite difference modeling of sinking stage curved beam based on revised Vlasov equations. J. Cent. South Univ. 22, 4219–4227 (2015). https://doi.org/10.1007/s11771-015-2970-3

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  • DOI: https://doi.org/10.1007/s11771-015-2970-3

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