Development of an Aeroelastic Formulation for Deformable Airfoils Using Orthogonal Polynomials
In this paper, an aeroelastic formulation is developed to analyze aeroelastic behavior of flexible airfoils with arbitrary camber deformations. The camberwise bending deformation of flexible airfoils, described by using the orthogonal Legendre polynomials, is considered in addition to traditional ri...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Su, Weihua [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Rechteinformationen: |
Nutzungsrecht: Copyright © 2017 by Weihua Su. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at ; employ the ISSN (print) or (online) to initiate your request. See also AIAA Rights and Permissions . |
|---|
| Übergeordnetes Werk: |
Enthalten in: AIAA journal / American Institute of Aeronautics and Astronautics - Reston, Va. [u.a.] : AIAA, 1963, (2017), Seite 2793-2807 |
|---|---|
| Übergeordnetes Werk: |
year:2017 ; pages:2793-2807 |
| Links: |
|---|
| DOI / URN: |
10.2514/1.J055665 |
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OLC1995790583 |
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| 520 | |a In this paper, an aeroelastic formulation is developed to analyze aeroelastic behavior of flexible airfoils with arbitrary camber deformations. The camberwise bending deformation of flexible airfoils, described by using the orthogonal Legendre polynomials, is considered in addition to traditional rigid-body plunging and pitching motions. The complete set of aeroelastic equations of motion is derived by following Hamilton’s principle, where a two-dimensional finite-state unsteady aerodynamic theory is applied to calculate the aerodynamic loads of flexible airfoils with both rigid-body motions and arbitrary camber deformations. The finite-state aerodynamic theory is also modified to involve magnitudes of the Legendre polynomials in the aerodynamic load equations. The aeroelastic equations, featuring rigid-body motions and camber deformation magnitudes as independent degrees of freedom, may facilitate the analysis of camber effects on aeroelastic characteristics of flexible airfoils. Numerical studies of this paper validate the developed aerodynamic and aeroelastic formulations by comparison with other published research and computational results. Finally, the impacts of camber flexibility on static and dynamic aeroelastic characteristics of flexible airfoils are explored. | ||
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10.2514/1.J055665 doi PQ20170901 (DE-627)OLC1995790583 (DE-599)GBVOLC1995790583 (PRQ)aiaa_journals_10_2514_1_J0556650 (KEY)0015866620170000000000002793developmentofanaeroelasticformulationfordeformable DE-627 ger DE-627 rakwb eng 380 DE-600 55.50 bkl 55.60 bkl 50.93 bkl Su, Weihua verfasserin aut Development of an Aeroelastic Formulation for Deformable Airfoils Using Orthogonal Polynomials 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, an aeroelastic formulation is developed to analyze aeroelastic behavior of flexible airfoils with arbitrary camber deformations. The camberwise bending deformation of flexible airfoils, described by using the orthogonal Legendre polynomials, is considered in addition to traditional rigid-body plunging and pitching motions. The complete set of aeroelastic equations of motion is derived by following Hamilton’s principle, where a two-dimensional finite-state unsteady aerodynamic theory is applied to calculate the aerodynamic loads of flexible airfoils with both rigid-body motions and arbitrary camber deformations. The finite-state aerodynamic theory is also modified to involve magnitudes of the Legendre polynomials in the aerodynamic load equations. The aeroelastic equations, featuring rigid-body motions and camber deformation magnitudes as independent degrees of freedom, may facilitate the analysis of camber effects on aeroelastic characteristics of flexible airfoils. Numerical studies of this paper validate the developed aerodynamic and aeroelastic formulations by comparison with other published research and computational results. Finally, the impacts of camber flexibility on static and dynamic aeroelastic characteristics of flexible airfoils are explored. Nutzungsrecht: Copyright © 2017 by Weihua Su. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at ; employ the ISSN (print) or (online) to initiate your request. See also AIAA Rights and Permissions . Enthalten in AIAA journal / American Institute of Aeronautics and Astronautics Reston, Va. [u.a.] : AIAA, 1963 (2017), Seite 2793-2807 (DE-627)12959203X (DE-600)240221-X (DE-576)015084736 0001-1452 nnns year:2017 pages:2793-2807 http://dx.doi.org/10.2514/1.J055665 Volltext http://arc.aiaa.org/doi/full/10.2514/1.J055665 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST 55.50 AVZ 55.60 AVZ 50.93 AVZ AR 2017 2793-2807 |
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10.2514/1.J055665 doi PQ20170901 (DE-627)OLC1995790583 (DE-599)GBVOLC1995790583 (PRQ)aiaa_journals_10_2514_1_J0556650 (KEY)0015866620170000000000002793developmentofanaeroelasticformulationfordeformable DE-627 ger DE-627 rakwb eng 380 DE-600 55.50 bkl 55.60 bkl 50.93 bkl Su, Weihua verfasserin aut Development of an Aeroelastic Formulation for Deformable Airfoils Using Orthogonal Polynomials 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, an aeroelastic formulation is developed to analyze aeroelastic behavior of flexible airfoils with arbitrary camber deformations. The camberwise bending deformation of flexible airfoils, described by using the orthogonal Legendre polynomials, is considered in addition to traditional rigid-body plunging and pitching motions. The complete set of aeroelastic equations of motion is derived by following Hamilton’s principle, where a two-dimensional finite-state unsteady aerodynamic theory is applied to calculate the aerodynamic loads of flexible airfoils with both rigid-body motions and arbitrary camber deformations. The finite-state aerodynamic theory is also modified to involve magnitudes of the Legendre polynomials in the aerodynamic load equations. The aeroelastic equations, featuring rigid-body motions and camber deformation magnitudes as independent degrees of freedom, may facilitate the analysis of camber effects on aeroelastic characteristics of flexible airfoils. Numerical studies of this paper validate the developed aerodynamic and aeroelastic formulations by comparison with other published research and computational results. Finally, the impacts of camber flexibility on static and dynamic aeroelastic characteristics of flexible airfoils are explored. Nutzungsrecht: Copyright © 2017 by Weihua Su. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at ; employ the ISSN (print) or (online) to initiate your request. See also AIAA Rights and Permissions . Enthalten in AIAA journal / American Institute of Aeronautics and Astronautics Reston, Va. [u.a.] : AIAA, 1963 (2017), Seite 2793-2807 (DE-627)12959203X (DE-600)240221-X (DE-576)015084736 0001-1452 nnns year:2017 pages:2793-2807 http://dx.doi.org/10.2514/1.J055665 Volltext http://arc.aiaa.org/doi/full/10.2514/1.J055665 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST 55.50 AVZ 55.60 AVZ 50.93 AVZ AR 2017 2793-2807 |
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10.2514/1.J055665 doi PQ20170901 (DE-627)OLC1995790583 (DE-599)GBVOLC1995790583 (PRQ)aiaa_journals_10_2514_1_J0556650 (KEY)0015866620170000000000002793developmentofanaeroelasticformulationfordeformable DE-627 ger DE-627 rakwb eng 380 DE-600 55.50 bkl 55.60 bkl 50.93 bkl Su, Weihua verfasserin aut Development of an Aeroelastic Formulation for Deformable Airfoils Using Orthogonal Polynomials 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, an aeroelastic formulation is developed to analyze aeroelastic behavior of flexible airfoils with arbitrary camber deformations. The camberwise bending deformation of flexible airfoils, described by using the orthogonal Legendre polynomials, is considered in addition to traditional rigid-body plunging and pitching motions. The complete set of aeroelastic equations of motion is derived by following Hamilton’s principle, where a two-dimensional finite-state unsteady aerodynamic theory is applied to calculate the aerodynamic loads of flexible airfoils with both rigid-body motions and arbitrary camber deformations. The finite-state aerodynamic theory is also modified to involve magnitudes of the Legendre polynomials in the aerodynamic load equations. The aeroelastic equations, featuring rigid-body motions and camber deformation magnitudes as independent degrees of freedom, may facilitate the analysis of camber effects on aeroelastic characteristics of flexible airfoils. Numerical studies of this paper validate the developed aerodynamic and aeroelastic formulations by comparison with other published research and computational results. Finally, the impacts of camber flexibility on static and dynamic aeroelastic characteristics of flexible airfoils are explored. Nutzungsrecht: Copyright © 2017 by Weihua Su. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at ; employ the ISSN (print) or (online) to initiate your request. See also AIAA Rights and Permissions . Enthalten in AIAA journal / American Institute of Aeronautics and Astronautics Reston, Va. [u.a.] : AIAA, 1963 (2017), Seite 2793-2807 (DE-627)12959203X (DE-600)240221-X (DE-576)015084736 0001-1452 nnns year:2017 pages:2793-2807 http://dx.doi.org/10.2514/1.J055665 Volltext http://arc.aiaa.org/doi/full/10.2514/1.J055665 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST 55.50 AVZ 55.60 AVZ 50.93 AVZ AR 2017 2793-2807 |
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Development of an Aeroelastic Formulation for Deformable Airfoils Using Orthogonal Polynomials |
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(DE-627)OLC1995790583 (DE-599)GBVOLC1995790583 (PRQ)aiaa_journals_10_2514_1_J0556650 (KEY)0015866620170000000000002793developmentofanaeroelasticformulationfordeformable |
| title_full |
Development of an Aeroelastic Formulation for Deformable Airfoils Using Orthogonal Polynomials |
| author_sort |
Su, Weihua |
| journal |
AIAA journal / American Institute of Aeronautics and Astronautics |
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AIAA journal / American Institute of Aeronautics and Astronautics |
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eng |
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2017 |
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Su, Weihua |
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Su, Weihua |
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10.2514/1.J055665 |
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380 |
| title_sort |
development of an aeroelastic formulation for deformable airfoils using orthogonal polynomials |
| title_auth |
Development of an Aeroelastic Formulation for Deformable Airfoils Using Orthogonal Polynomials |
| abstract |
In this paper, an aeroelastic formulation is developed to analyze aeroelastic behavior of flexible airfoils with arbitrary camber deformations. The camberwise bending deformation of flexible airfoils, described by using the orthogonal Legendre polynomials, is considered in addition to traditional rigid-body plunging and pitching motions. The complete set of aeroelastic equations of motion is derived by following Hamilton’s principle, where a two-dimensional finite-state unsteady aerodynamic theory is applied to calculate the aerodynamic loads of flexible airfoils with both rigid-body motions and arbitrary camber deformations. The finite-state aerodynamic theory is also modified to involve magnitudes of the Legendre polynomials in the aerodynamic load equations. The aeroelastic equations, featuring rigid-body motions and camber deformation magnitudes as independent degrees of freedom, may facilitate the analysis of camber effects on aeroelastic characteristics of flexible airfoils. Numerical studies of this paper validate the developed aerodynamic and aeroelastic formulations by comparison with other published research and computational results. Finally, the impacts of camber flexibility on static and dynamic aeroelastic characteristics of flexible airfoils are explored. |
| abstractGer |
In this paper, an aeroelastic formulation is developed to analyze aeroelastic behavior of flexible airfoils with arbitrary camber deformations. The camberwise bending deformation of flexible airfoils, described by using the orthogonal Legendre polynomials, is considered in addition to traditional rigid-body plunging and pitching motions. The complete set of aeroelastic equations of motion is derived by following Hamilton’s principle, where a two-dimensional finite-state unsteady aerodynamic theory is applied to calculate the aerodynamic loads of flexible airfoils with both rigid-body motions and arbitrary camber deformations. The finite-state aerodynamic theory is also modified to involve magnitudes of the Legendre polynomials in the aerodynamic load equations. The aeroelastic equations, featuring rigid-body motions and camber deformation magnitudes as independent degrees of freedom, may facilitate the analysis of camber effects on aeroelastic characteristics of flexible airfoils. Numerical studies of this paper validate the developed aerodynamic and aeroelastic formulations by comparison with other published research and computational results. Finally, the impacts of camber flexibility on static and dynamic aeroelastic characteristics of flexible airfoils are explored. |
| abstract_unstemmed |
In this paper, an aeroelastic formulation is developed to analyze aeroelastic behavior of flexible airfoils with arbitrary camber deformations. The camberwise bending deformation of flexible airfoils, described by using the orthogonal Legendre polynomials, is considered in addition to traditional rigid-body plunging and pitching motions. The complete set of aeroelastic equations of motion is derived by following Hamilton’s principle, where a two-dimensional finite-state unsteady aerodynamic theory is applied to calculate the aerodynamic loads of flexible airfoils with both rigid-body motions and arbitrary camber deformations. The finite-state aerodynamic theory is also modified to involve magnitudes of the Legendre polynomials in the aerodynamic load equations. The aeroelastic equations, featuring rigid-body motions and camber deformation magnitudes as independent degrees of freedom, may facilitate the analysis of camber effects on aeroelastic characteristics of flexible airfoils. Numerical studies of this paper validate the developed aerodynamic and aeroelastic formulations by comparison with other published research and computational results. Finally, the impacts of camber flexibility on static and dynamic aeroelastic characteristics of flexible airfoils are explored. |
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GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST |
| title_short |
Development of an Aeroelastic Formulation for Deformable Airfoils Using Orthogonal Polynomials |
| url |
http://dx.doi.org/10.2514/1.J055665 http://arc.aiaa.org/doi/full/10.2514/1.J055665 |
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false |
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| doi_str |
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| up_date |
2024-07-03T22:46:00.081Z |
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