Accession Number:

AD0620659

Title:

ON THE ACCURACY OF THE WKBJ METHOD APPLIED TO PARAMETRICALLY EXCITED SYSTEMS,

Descriptive Note:

Corporate Author:

SYSTEM DEVELOPMENT CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1965-08-13

Pagination or Media Count:

19.0

Abstract:

The Wentzel-Kramers-Brillouin-Jeffreys approximation is applied to the Mathieu equation and to a modified form of that equation. Results are then used in the Floquet criterion. It is shown that to a first approximation the resonance frequencies may be obtained. Refinement of the results shows that a conservative estimate of the unstable regions may be made with relatively little effort. The method appears to be applicable to a wide class of periodically excited systems. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE