Continuation Methods for Nonlinear Flutter
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 regi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-12-01
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| Series: | Aerospace |
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| Online Access: | http://www.mdpi.com/2226-4310/3/4/44 |
| _version_ | 1818229285775736832 |
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| author | Edward E. Meyer |
| author_facet | Edward E. Meyer |
| author_sort | Edward E. Meyer |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T10:16:11Z |
| format | Article |
| id | doaj.art-d4eeea57a85e4b419b7cb14308479b6c |
| institution | Directory Open Access Journal |
| issn | 2226-4310 |
| language | English |
| last_indexed | 2024-12-12T10:16:11Z |
| publishDate | 2016-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Aerospace |
| spelling | doaj.art-d4eeea57a85e4b419b7cb14308479b6c2022-12-22T00:27:39ZengMDPI AGAerospace2226-43102016-12-01344410.3390/aerospace3040044aerospace3040044Continuation Methods for Nonlinear FlutterEdward E. Meyer0Boreal Racing Shells, Seattle Rowing Center, 1116 West Ewing Street, Seattle, WA 98119, USAContinuation 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.http://www.mdpi.com/2226-4310/3/4/44aeroelasticitymultiple nonlinearity fluttercontinuation methodsdescribing functionsbifurcationcontinuation optimizationcontrolling LCO amplitudes |
| spellingShingle | Edward E. Meyer Continuation Methods for Nonlinear Flutter Aerospace aeroelasticity multiple nonlinearity flutter continuation methods describing functions bifurcation continuation optimization controlling LCO amplitudes |
| title | Continuation Methods for Nonlinear Flutter |
| title_full | Continuation Methods for Nonlinear Flutter |
| title_fullStr | Continuation Methods for Nonlinear Flutter |
| title_full_unstemmed | Continuation Methods for Nonlinear Flutter |
| title_short | Continuation Methods for Nonlinear Flutter |
| title_sort | continuation methods for nonlinear flutter |
| topic | aeroelasticity multiple nonlinearity flutter continuation methods describing functions bifurcation continuation optimization controlling LCO amplitudes |
| url | http://www.mdpi.com/2226-4310/3/4/44 |
| work_keys_str_mv | AT edwardemeyer continuationmethodsfornonlinearflutter |