Stability of a Beam on an Elastic Foundation Subjected to a Follower Force,

Abstract

The purpose of this note is to draw attention to an intuitively unexpected and seemingly unknown aspect of the behavior of a cantilevered beam on an elastic foundation subjected to a follower at its free end. It is found that the critical load for flutter is independent of the foundation modulus which characterizes the Winkler-type elastic embedding. The frequency of vibration of the beam increases with increasing foundation modulus, but the magnitude of the critical load is not affected. This result is valid for any value of 'tangency coefficient'. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1972
Accession Number
AD0746697

Entities

People

  • George Herrmann
  • Travis Smith

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Doppler Effect
  • Embedding
  • Frequency
  • Frequency Shift
  • Vibration

Fields of Study

  • Engineering

Readers

  • Theoretical Analysis.
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).