Accession Number:

ADA162748

Title:

Stochastic Non-Linear Flutter of Aeroelastic Structures.

Descriptive Note:

Annual rept. no. 1, 1 Nov 84-31 Oct 85,

Corporate Author:

TEXAS TECH UNIV LUBBOCK DEPT OF MECHANICAL ENGINEERING

Personal Author(s):

Report Date:

1985-10-21

Pagination or Media Count:

104.0

Abstract:

The linear and non-linear random modal interactions of a two degree-of-freedom aeroelastic structure are examined by using the Fokker-Planck equation approach. A general differential equation describing the evolution of the response moments is derived for any moment order. For the case of linear modal interaction this differential equation is found to constitute a closed set of moment equations. The stationary response is determined for various system parameters. It is found that the linear interaction results in a suppression of one mode when the uncoupled frequencies of the structure are close to each other. For the case of nonlinear modal known as autoparametric interaction the differential equation of the response moments forms an infinite coupled set of equations which are closed via two closure schemes. These are the Gaussian and non-Gaussian closure leads to 69 differential equations in the first four orders of response moments. The two sets are solved by numerical integration. Keywords Equations of motion Coefficients.

Subject Categories:

  • Aerodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE