Accession Number:

AD0257943

Title:

THE USE OF WEIGHT FUNCTIONS IN THE TRANSIENT ANALYSIS OF NONLINEAR CIRCUITS

Descriptive Note:

Corporate Author:

STANFORD UNIV CALIF STANFORD ELECTRONICS LABS

Personal Author(s):

Report Date:

1961-06-08

Pagination or Media Count:

1.0

Abstract:

Light damping is described by a second-order differential equation for a nonlinear electric circuit. Using the principle of variation of parameters, a reduction is made of given equation to 2 first-order differential equations. A weight function method is applied to these 2 equations. The result of this analysis is presented by 2 transient-response curves. Three systems of equations are studied. For the first 2 systems, the results obtained are either better or comparable to those of Kryloff and Bogoliuboffs method. Some improvement of Kryloff and Bogoliuboffs method, using the results of the weight function method, is considered, and excellent results are obtained. The third system is an example of use of the undamped frequency in the assumed solution, which is a generalization of the Kryloff and Bogoliuboff method. For the single-term approximation, error increases with increasing nonlinearity due to the presence of higher harmonics. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE