Dynamic behavior of a clamped circular plate and strain energy representation (part II)

Authors

  • Ionela HAREA Doctoral School of Engineering, Babeș-Bolyai University, Cluj-Napoca, Romania, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, Romania ionela.harea@ubbcluj.ro https://orcid.org/0009-0000-0781-8874
  • Zeno-Iosif PRAISACH Department of Engineering Science, Babeș-Bolyai University. Cluj-Napoca, Romania, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, Romania zeno.praisach@ubbcluj.ro https://orcid.org/0000-0002-8613-8224
  • Gilbert-Rainer GILLICH Department of Engineering Science, Babeș-Bolyai University. Cluj-Napoca, Romania, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, Romania gilbert.gillich@ubbcluj.ro https://orcid.org/0000-0003-4962-2567
  • Cristian TUFIȘI Department of Engineering Science, Babeș-Bolyai University. Cluj-Napoca, Romania, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, Romania cristian.tufisi@ubbcluj.ro https://orcid.org/0000-0002-0567-6072

DOI:

https://doi.org/10.24193/subbeng.2023.1.7

Keywords:

circular plate, Bessel functions, strain energy

Abstract

The paper presents the strain energy of the circular plate clamped all around through a relation obtained analytically and the graphic representation of the modal shapes and the maximum normalized strain energy along the x axis. Depending on the number of nodal circles s and the nodal diameters n, the maximum strain energy can be both in the center of the circular plate clamped all around, as well as the first ventral points from the center of the circular plate towards the outside of the plate.

References

Gillich G.R., Praisach Z.I., Ntakpe J.L., Hațiegan C., An Analysis of the Dynamic Behavior of Circular Plates from a Damage Detection Perspective, Romanian Journal of Acoustic and Vibrations, 11(1), 2014, pp. 41-46.

Praisach Z.I., Micliuc. D.M., Gillich G.R., Korka Z.I., Natural Frequency Shift of Damaged Circular Plate Clamped All Around, ANNALS of Faculty Engineering Hunedoara – International Journal of Engineering, 14(4), 2016, pp.57-62.

Senjanovic I., Hadzic N., Vladimir N., Cho D.-S., Natural vibrations of thick circular plate based on the modified Mindlin theory, Arch. Mech., 66(6), 2014, pp. 389-409.

Thakare S.B., Damale A.V., Free vibration of circular plates with holes and cutouts, IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE), 8(2), 2013, pp. 46-54.

Wei G.W., Zhao Y.B., Xiang Y., The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution, International Journal of Mechanical Sciences, 43, 2001, pp. 1731-1746.

Matthews D., Sun H., Saltmarsh K., Wilkes D., Munyard A., Pan J., A de-tailed experimental modal analysis of a clamped circular plate, Inter. Noise, Melbourne, Australia, 2014.

Mindlin R.D., An introduction to the mathematical theory of vibrations of elastic plates, World Scientific Publishing, 2006.

Timoshenko S., Woinowsky-Krieger S., Theory of plates and shells, McGraw-Hill Publishing Co., N.Y., 1959.

Reddy J.N., Theory and analysis of elastic plates, Taylor and Francis, Philadelphia, 1999.

Renton J.D., Elastic Beams and Frames, Second edition, Woodhead Publishing, Philadelphia, USA, 2011.

Leissa A., Vibration of plates, NASA SP, Scientific and Technical Information Division, National Aeronautics and Space Administration, 1969.

STUDIA UBB ENGINEERING, Volume 68 (LXVIII), No. 1, November 2023

Downloads

Published

2023-11-15

How to Cite

HAREA, I., PRAISACH, Z.-I., GILLICH, G.-R., & TUFIȘI, C. (2023). Dynamic behavior of a clamped circular plate and strain energy representation (part II). Studia Universitatis Babeș-Bolyai Engineering, 68(1), 89–100. https://doi.org/10.24193/subbeng.2023.1.7

Issue

Volume 68, No. 1, November 2023

Section

Articles

License

Copyright (c) 2023 Studia Universitatis Babeș-Bolyai Engineering

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Most read articles by the same author(s)

1 2 3 > >>