FREQUENCIES OF BEAMS ON PARTIAL ELASTIC FOUNDATIONS.

Abstract

Numerical procedures in obtaining upper and lower bounds to eigenvalues of various beam problems are presented. Various numerical problems and their cure when applying the bounding procedures are discussed. Upper bounds are obtained using the well-known Rayleigh-Ritz procedure and lower bounds are obtained using methods developed by Bazley and Fox (AD-608 356; 'Lower bounds to eigenvalues using operator decompositions of the form B*B'. Archive for Rational Mechanics and Analysis, 10:352-60 (1962)). Computational examples are given and tables of upper and lower bounds are displayed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1966
Accession Number
AD0631363

Entities

People

  • N. Rubinstein

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

DTIC Thesaurus Topics

  • Chemical Reactions
  • Decomposition
  • Differential Equations
  • Dissociation
  • Eigenvalues
  • Equations
  • Frequency
  • Mathematical Analysis
  • Mechanics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computer Science.
  • Linear Algebra