Accession Number:

AD0496236

Title:

An Electronic Analogue for Certain Difference-Differential Equations.

Descriptive Note:

Corporate Author:

STANFORD UNIV CA

Personal Author(s):

• Blumberg, M.
• Minorsky, N.

Report Date:

1949-02-15

Pagination or Media Count:

41.0

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