Accession Number : AD0496236

Title :   An Electronic Analogue for Certain Difference-Differential Equations.

Corporate Author : STANFORD UNIV CA

Personal Author(s) : Blumberg, M. ; Minorsky, N.

Report Date : 15 FEB 1949

Pagination or Media Count : 41

Abstract : This report describes an electronic analogue of difference-differential equations with a variable parameter. The investigation is limited to the comparison of the observed self-excited frequencies with the calculated values given by the harmonic roots of transcendental characteristic equation. The agreement between the observed and the calculated values is within 5 per cent. This discrepancy is partially due to the experimental errors and partially to the fact that the non-linear frequency correction has not been taken into account in the calculation of the harmonic root. (Author)

Descriptors :   *ANALOG COMPUTERS), (*DIFFERENTIAL EQUATIONS, (*CONTROL SYSTEMS, THEORY), DIFFERENCE EQUATIONS, DIFFERENTIATING CIRCUITS, AUTOMATIC, TIME LAG THEORY, SHIPS, STABILIZATION SYSTEMS, MATHEMATICAL MODELS, ROLL, VELOCITY, NONLINEAR SYSTEMS, EXCITATION, FREQUENCY, OSCILLATION.

Subject Categories : Numerical Mathematics
      Computer Hardware

Distribution Statement : APPROVED FOR PUBLIC RELEASE