Static and free vibration analyses of plates on elastic foundation using a cell-based smoothed three-node mindlin plate element (CS-Min3)

Authors

  • Phung Van Phuc
    Division of Computational Mechanics, Ton Duc Thang University
  • Nguyen Thoi Trung
    Faculty of Mathematics & Computer Science, University of Science, VNU-HCM
  • Nguyen Xuan Hung
    Faculty of Mathematics & Computer Science, University of Science, VNU-HCM
  • Tran Trung Dung
    Faculty of Civil & Electrical Engineering, Ho Chi Minh City Open University

Keywords:

Smoothed finite element methods (S-FEM); Reissner-Mindlin plate; cell-based smoothed three-node Mindlin plate element (CS-MIN3); elastic foundation; elastic supports

Abstract

A cell-based smoothed three-node Mindlin plate element (CS-MIN3) was recently proposed to improve the performance of the existing three-node Mindlin plate element (MIN3) for static and free vibration analyses of Mindlin plates. In this paper, the CSMIN3 is incorporated with spring systems for treating more complicated static and free vibration analyses of Mindlin plates on the elastic foundation. The plate-foundation system is modeled as a discretization of triangular plate elements supported by discrete springs at the nodal points representing the elastic foundation. The accuracy and reliability of the proposed method are verified by comparing with those of others available numerical results.

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References

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Kenney D, Williams FW. Vibration and buckling of anisotropic plate assemblies with Winler foundation. Journal of Sound and Vibration, 138:501-510 (1990).

Raju KK, Venkateswara RG. Mode shape change in the stability problem and its effect on the vibration behaviour of simply-supported orthotropic rectanggular plates on elastic foundation. Journal of Sound and Vibration, 175:693-699 (1994).

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Received: 04-06-2020
Accepted: 04-06-2020
Published: 31-08-2013

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How to Cite

Phuc, P. V., Trung, N. T., Hung, N. X., & Dung, T. T. (2013). Static and free vibration analyses of plates on elastic foundation using a cell-based smoothed three-node mindlin plate element (CS-Min3). HO CHI MINH CITY OPEN UNIVERSITY JOURNAL OF SCIENCE - ENGINEERING AND TECHNOLOGY, 3(1), 30–38. Retrieved from https://journalofscience.ou.edu.vn/index.php/tech-en/article/view/398

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© The Author(s) 2025. This is an open access publication under CC BY NC license.