On the Stability of a Deep Beam Subjected to Nonconservative and Dissipative Forces.

Abstract

The mode of loss of stability of a hinged-hinged beam subjected to a concentrated, transverse follower force applied at the center of the beam is considered. Due to the nature of the nonconservative applied load, the flexural and torsional deformations of the beam are coupled. The effects of warping rigidity and internal and external damping have been included in the differential equations of motion. The stability problem is solved in an approximate manner by means of an adjoint variational principle. Several graphs are presented to demonstrate the effect of the various damping and rigidity parameters on the value of the flutter load. These results reveal that in the absence of external damping, the value of the flutter load becomes arbitrarily small as the internal damping parameter associated with flexure tends to zero. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1973
Accession Number
AD0762124

Entities

People

  • Gary L. Anderson

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Mathematical Analysis
  • Mathematics
  • Real Variables
  • Rigidity
  • Variational Principles

Readers

  • Structural Dynamics.