Vibration of plates with corner stress singularities

Arthur W. Leissa, Oliver G. McGee, Chung Shiann Huang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A method of analysis is presented to determine the free vibration frequencies of plates having corner stress singularities. Displacements are assumed in the form of polynomials, and corner functions are added which yield the desired stress singularities where needed (i.e., in sharp interior corners). Frequencies are determined by means of the Ritz method. The importance of using corner functions is demonstrated by means of convergence tables. Numerical results are presented for cantilever skew (parallelogram) plates and for circular plates with V-notches.

Original languageEnglish
Title of host publicationMechanics Computing in 1990's and Beyond
EditorsHojjat Adeli, Robert L. Sierakowski
PublisherPubl by ASCE
Pages722-726
Number of pages5
ISBN (Print)0872628043
StatePublished - 1991
EventASCE Engineering Mechanics Specialty Conference - Columbus, OH, USA
Duration: May 20 1991May 22 1991

Publication series

NameMechanics Computing in 1990's and Beyond

Conference

ConferenceASCE Engineering Mechanics Specialty Conference
CityColumbus, OH, USA
Period05/20/9105/22/91

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  • Cite this

    Leissa, A. W., McGee, O. G., & Huang, C. S. (1991). Vibration of plates with corner stress singularities. In H. Adeli, & R. L. Sierakowski (Eds.), Mechanics Computing in 1990's and Beyond (pp. 722-726). (Mechanics Computing in 1990's and Beyond). Publ by ASCE.