NUMERICAL COMPUTATION OF NONLINEAR FORCED OSCILLATIONS BY GALERKIN'S PROCEDURE,

Abstract

The present paper is the continuation of the preceding paper (AD-607 820) by Urabe. In the paper (AD-607 820), Urabe has proved that, for any periodic differential system dx/dt=X(x,t), an isolated periodic solution lying inside the region of definition of X(x,t) can be always obtained by Galerkin's procedure if X(x,t) and its derivative with respect to x are continuously differentiable with respect to x and t. In the present paper, the practical numerical method based on this result is described and some numerical examples are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1964
Accession Number
AD0607824

Entities

People

  • Allen Reiter
  • Minoru Urabe

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Computations
  • Mathematical Analysis
  • Mathematics
  • Oscillation

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Materials Science.
  • Structural Dynamics.