### 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 language | English |
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Title of host publication | Mechanics Computing in 1990's and Beyond |

Editors | Hojjat Adeli, Robert L. Sierakowski |

Publisher | Publ by ASCE |

Pages | 722-726 |

Number of pages | 5 |

ISBN (Print) | 0872628043 |

State | Published - 1991 |

Event | ASCE Engineering Mechanics Specialty Conference - Columbus, OH, USA Duration: May 20 1991 → May 22 1991 |

### Publication series

Name | Mechanics Computing in 1990's and Beyond |
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### Conference

Conference | ASCE Engineering Mechanics Specialty Conference |
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City | Columbus, OH, USA |

Period | 05/20/91 → 05/22/91 |

## Fingerprint Dive into the research topics of 'Vibration of plates with corner stress singularities'. Together they form a unique fingerprint.

## 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.