On the Non-Existence of Adjacent Equilibrium States at Bifurcation Points.

Abstract

In the 'adjacent equilibrium' method of stability theory, it is assumed that, at a critical point on an equilibrium branch, there always exists for the same load, in addition to the fundamental equilibrium configuration, also adjacent equilibrium states. In the present paper, it is shown that for a number of structures adjacent equilibrium states indeed do not exist at bifurcation points; thus proving that adjacent equilibrium states do not exist in general and hence that the physical argument of the adjacent equilibrium method is not generally valid. The proofs are based on the regular perturbation method.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1974
Accession Number
AD0783336

Entities

People

  • Arnold D. Kerr
  • Russel Brantman

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Chemical Reaction Properties
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Perturbations

Readers

  • Coastal and Marine Engineering/Sediment Transport/Hydraulic Engineering
  • Control Systems Engineering.
  • Theoretical Analysis.