Accession Number:

AD0679669

Title:

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

Descriptive Note:

Corporate Author:

FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s):

• Kronberg,E. G.

Report Date:

1968-04-15

Pagination or Media Count:

14.0

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