Dynamic behavior of a simply supported circular plate

Authors

  • Ionela HAREA Babeș-Bolyai University Cluj-Napoca, Romania, Doctoral School of Engineering, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, ionela.harea@ubbcluj.ro https://orcid.org/0009-0000-0781-8874
  • Zeno-Iosif PRAISACH Babeș-Bolyai University Cluj-Napoca, Romania, Department of Engineering Science, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, zeno.praisach@ubbcluj.ro (*corresponding author) https://orcid.org/0000-0002-8613-8224

DOI:

https://doi.org/10.24193/subbeng.2024.1.6

Keywords:

Bessel functions, circular plate, mode shape, eigenvalue

Abstract

The paper presents a study regarding the dynamics behavior of thin circular plate simply supported with a relation obtained analytically and the graphic representation of the modal shapes. The modal shapes are obtained using Bessel functions and their graphic representation are compared with Finite Element Method (FEM) by using modal analysis. For the analyzed case, the first 70 eigenvalues and natural frequencies are calculated.

References

L. Euler, De motu vibratorio tympanorum. Vol. 10, Novi Commentarii academiae scientiarum Petropolitanae, 1766, pp. 243-260.

Diarmud O. Mathuna, (1994), Jacques II Bernoulli and The Problem of the

Vibrating Plate. Dublin Institute for Advanced Studies. Ireland.

E. Ventsel, T. Krauthammer, Thin Plates and Shells Theory, Analysis, and

Applications. 1st Edition. The Pennsylvania State University Park, Pennsylvania, Copyright 2001 by Marcel Dekker, Inc. U.S.A.

S.P. Timoshenko, S. Woinowsky-Krieger, Theory of Plates and Shells, Copyright by McGraw-Hill Book Company, second edition, 1989, U.S.A.

A.W. Leissa, Vibration of Plates, NASA SP-160. Washington, DC U.S. Government Printing Office. Special Publication 2013.

J.R. Hutchinson, Analysis of plates and shells by boundary collocations. In: Boundary Element Analysis of Plates and Shells, Ed. D.E. Beskos, Springer-Verlag, Berlin, 1991, pp. 341–368.

I. Fried, Linear and Nonlinear Finite Elements, Boston University Department of Mathematics Boston, U.S.A, 1984.

T.Y. Yang, Finite Element Structural Analysis. Pearson College Div, New Jersey. U.S.A. 1985.

Bessel Functions of the First and Second Kind, https://pub.me755_web.tex (uwaterloo.ca), (downloaded at July 20rd, 2018)

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Published

2024-10-28

How to Cite

HAREA, I., & PRAISACH, Z.-I. (2024). Dynamic behavior of a simply supported circular plate. Studia Universitatis Babeș-Bolyai Engineering, 69(1), 64–75. https://doi.org/10.24193/subbeng.2024.1.6

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