On Extremum Properties of the Generalized Rayleigh Quotient Associated with Flutter Instability,

Abstract

The extremum properties of the generalized Rayleigh quotient related to flutter instability are investigated. It is shown that, in addition to the well-known stationary property, under centain circumstances the quotient exhibits maximum-minimum properties which are in contrast to those of the classical Rayleigh quotient. One consequence is that a Rayleigh-Ritz type of stability analysis using these results leads to a lower bound as opposed to an upper bound in the classical case. The results are applied to multiple-parameter systems and a physical interpretation is given for the generalized Rayleigh quotient, leading to the proof of a convexity theorem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD0748034

Entities

People

  • K. Huseyin
  • R. H. Plaut

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Contrast
  • Cooperation
  • Group Dynamics
  • Instability
  • Psychological Phenomena And Processes
  • Psychology
  • Stationary

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra