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Inextensible beam and plate theory: Computational analysis and comparison with experiment

Publication ,  Journal Article
Tang, D; Zhao, M; Dowell, EH
Published in: Journal of Applied Mechanics, Transactions ASME
June 1, 2014

A new inextensible theory of beam and plate deformation has been developed. For validation of this inextensible beam and plate theory, computational codes for the static and dynamic nonlinear beam and plate modal equations have been developed. The computations and experiments for static loading and deformation of a beam show that the inextensible theory produces results in excellent agreement with experiment. Also, a comparison of the inextensible theory for a plate with a static experiment is encouraging. Finally, a numerical study of dynamic deflection for an inextensible beam and plate has also been made. The results show a hysteresis dynamic response that depends on whether the excitation frequency is increasing or decreasing for the stiffness nonlinearity only or for the inertia nonlinearity only. The inertia nonlinear force has a significant effect on the dynamic response in the resonant frequency range. Copyright ©2014 by ASME.

Duke Scholars

Published In

Journal of Applied Mechanics, Transactions ASME

DOI

EISSN

1528-9036

ISSN

0021-8936

Publication Date

June 1, 2014

Volume

81

Issue

6

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering
 

Citation

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Tang, D., Zhao, M., & Dowell, E. H. (2014). Inextensible beam and plate theory: Computational analysis and comparison with experiment. Journal of Applied Mechanics, Transactions ASME, 81(6). https://doi.org/10.1115/1.4026800
Tang, D., M. Zhao, and E. H. Dowell. “Inextensible beam and plate theory: Computational analysis and comparison with experiment.” Journal of Applied Mechanics, Transactions ASME 81, no. 6 (June 1, 2014). https://doi.org/10.1115/1.4026800.
Tang D, Zhao M, Dowell EH. Inextensible beam and plate theory: Computational analysis and comparison with experiment. Journal of Applied Mechanics, Transactions ASME. 2014 Jun 1;81(6).
Tang, D., et al. “Inextensible beam and plate theory: Computational analysis and comparison with experiment.” Journal of Applied Mechanics, Transactions ASME, vol. 81, no. 6, June 2014. Scopus, doi:10.1115/1.4026800.
Tang D, Zhao M, Dowell EH. Inextensible beam and plate theory: Computational analysis and comparison with experiment. Journal of Applied Mechanics, Transactions ASME. 2014 Jun 1;81(6).

Published In

Journal of Applied Mechanics, Transactions ASME

DOI

EISSN

1528-9036

ISSN

0021-8936

Publication Date

June 1, 2014

Volume

81

Issue

6

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering