Preprint Article Version 1 NOT YET PEER-REVIEWED

Continuation Methods for Nonlinear Flutter

  1. Boreal Racing Shells, Seattle, WA 98119, USA
Version 1 : Received: 27 October 2016 / Approved: 27 October 2016 / Online: 27 October 2016 (11:58:27 CEST)

How to cite: Meyer, E. Continuation Methods for Nonlinear Flutter. Preprints 2016, 2016100120 (doi: 10.20944/preprints201610.0120.v1). Meyer, E. Continuation Methods for Nonlinear Flutter. Preprints 2016, 2016100120 (doi: 10.20944/preprints201610.0120.v1).

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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