UPPER AND LOWER BOUNDS FOR THE FREQUENCIES OF RECTANGULAR CANTILEVER PLATES.

Abstract

The authors use a recently developed procedre fr lower bounds and the Rayleigh-Ritz procedure for upper bounds to estimate frequencies of free vibration of thin rectangular cantilever plates. The applicability of the lower bound procedure is demonstrated, and calculations are given for a symmetry class of normal modes. The lower bounds seem to be the first rigorously obtained for this problem. The upper bounds are improvements over previously published rigorous results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1965
Accession Number
AD0467992

Entities

People

  • David W. Fox
  • James T. Stadter
  • Norman W. Bazley

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Doppler Effect
  • Frequency
  • Frequency Shift
  • Symmetry
  • Vibration

Readers

  • Linear Algebra
  • Structural Dynamics.