Relationship between vibration frequencies of Reddy and Kirchhoff polygonal plates with simply supported edges Academic Article

abstract

• 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 theory from the known Kirchhoff plate theory for the same problem. As examples, some vibration frequencies for rectangular and regular polygonal plates are determined using this relationship. [S0739-3717(00)01601-9]

authors

• Reddy, Junuthula

published proceedings

• JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME

author list (cited authors)

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

citation count

• 13

publication date

• January 2000

publisher

• ASME International  Publisher

published in

• Journal of Vibration and Acoustics: Transactions of the ASME  Journal

keywords

• 40 Engineering
• 4017 Mechanical Engineering

Digital Object Identifier (DOI)

• 10.1115/1.568438

start page

• 77

end page

• 81

volume

• 122

issue

• 1

URL

• http://dx.doi.org/10.1115/1.568438