Accession Number : AD0679669

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

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Kronberg,E. G.

Report Date : 15 APR 1968

Pagination or Media Count : 14

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.

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, *APPROXIMATION(MATHEMATICS)), PARTIAL DIFFERENTIAL EQUATIONS, ITERATIONS, HARMONIC ANALYSIS, FOURIER ANALYSIS, PERIODIC VARIATIONS, SERIES(MATHEMATICS), VIBRATION, USSR

Subject Categories : Theoretical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE