BOUNDS TO FREQUENCIES OF A SIMPLY SUPPORTED ROTATING BEAM.

Abstract

The upper and lower bounds to frequencies of bending vibration of a rotating uniform beam simply supported at one end and free at the other are presented. The upper bounds were obtained by use of the Rayleigh-Ritz procedure using two different sets of trial vectors. The lower bounds were obtained using two methods: (1) The method of sums of resolvable operators and (2) The method of intermediate problems with truncation. The virtues of these methods are discussed in the text. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1968
Accession Number
AD0690474

Entities

People

  • James T. Stadter
  • Nathan Rubinstein

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

DTIC Thesaurus Topics

  • Approximation (Mathematics)
  • Doppler Effect
  • Frequency
  • Frequency Shift
  • Mathematics
  • Truncation
  • Vibration

Readers

  • Approximation Theory.
  • Structural Dynamics.