Preprint Article Version 1 NOT YET PEER-REVIEWED

Continuation Methods for Nonlinear Flutter

Version 1 : Received: 27 October 2016 / Approved: 27 October 2016 / Online: 27 October 2016 (11:58:27 CEST)

A peer-reviewed article of this Preprint also exists.

Meyer, E.E. Continuation Methods for Nonlinear Flutter. Aerospace 2016, 3, 44. Meyer, E.E. Continuation Methods for Nonlinear Flutter. Aerospace 2016, 3, 44.

Journal reference: Aerospace 2016, 3, 44
DOI: 10.3390/aerospace3040044

Abstract

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.

Subject Areas

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

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