Relationship Between Vibration Frequencies of Reddy and Kirchhoff Polygonal Plates With Simply Supported Edges Academic Article uri icon


  • This paper presents an exact relationship between the natural frequencies of Reddy third-order plate theory and those of classical Kirchhoff plate theory for simply supported, polygonal isotropic plates, including rectangular plates. The relationship for the natural frequencies enables one to obtain the solutions of the third-order plate theoryfrom the known Kirchhoffplate theory for the same problem. As examples, some vibration frequencies for rectangular and regular polygonal plates are determined using this relationship. © 2000 by ASME.

author list (cited authors)

  • Wang, C. M., Kitipornchai, S., & Reddy, J. N.

citation count

  • 10

publication date

  • October 1997