REMARKS ON THE USE OF APPROXIMATION METHODS OF SOLVING DIFFERENTIAL EQUATIONS,

Abstract

The report discusses means for practical application of approximation methods in finding a particular solution for differential equations for forced oscillations. A nonlinear differential equation of the second order is analyzed. The advantages and shortcomings of finding a particular solution of an equation by means of the Fourier trigonometric series, the Ritz and Galerkin variation methods, and of the iteration method are considered. A centrifugal torsional vibration absorber was studied as an example.

Document Details

Document Type
Technical Report
Publication Date
Apr 15, 1968
Accession Number
AD0679669

Entities

People

  • E. G. Kronberg

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Iterations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Oscillation
  • Real Variables

Fields of Study

  • Mathematics

Readers

  • Structural Dynamics.
  • Systems Analysis and Design