ON THE ACCURACY OF THE WKBJ METHOD APPLIED TO PARAMETRICALLY EXCITED SYSTEMS,

Abstract

The Wentzel-Kramers-Brillouin-Jeffreys approximation is applied to the Mathieu equation and to a modified form of that equation. Results are then used in the Floquet criterion. It is shown that to a first approximation the resonance frequencies may be obtained. Refinement of the results shows that a conservative estimate of the unstable regions may be made with relatively little effort. The method appears to be applicable to a wide class of periodically excited systems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 13, 1965
Accession Number
AD0620659

Entities

People

  • John Staudhammer

Organizations

  • System Development Corporation

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Cooperation
  • Equations
  • Frequency
  • Group Dynamics
  • Mathematics
  • Resonance
  • Resonant Frequency

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)