Continuation Methods for Nonlinear Flutter

Aerospace

Edward E. Meyer¹ 

[1] Boreal Racing Shells, Seattle Rowing Center, 1116 West Ewing Street, Seattle, WA 98119, USA;

关键词: aeroelasticity;    multiple nonlinearity flutter;    continuation methods;    describing functions;    bifurcation;    continuation optimization;    controlling LCO amplitudes;   

DOI  :  10.3390/aerospace3040044

来源: DOAJ

【 摘 要 】

Continuation methods are presented that are capable of treating frequency domain flutter equations, including multiple nonlinearities represented by describing functions. A small problem demonstrates how a series of continuation processes can find all limit-cycle oscillations within a specified region with a reasonable degree of confidence. Curves of the limit-cycle amplitude variation with velocity, indicating regions of stability and instability with colors, give a compact view of the nonlinear behavior throughout the flight regime. A continuation technique for reducing limit-cycle amplitudes by adjusting various system parameters is presented. These processes are economical enough to be a routine part of aircraft design and certification.

【 授权许可】

Unknown