Structural Engineering and Mechanics

  • 제30권1호
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  • Pages.67-76
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  • 2008
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

On the limit cycles of aeroelastic systems with quadratic nonlinearities

  • Chen, Y.M. (Department of Mechanics, SunYat-sen University) ;
  • Liu, J.K. (Department of Mechanics, SunYat-sen University)
  • 투고 : 2007.06.08
  • 심사 : 2008.07.03
  • 발행 : 2008.09.10
⟨ 이전 논문 다음 논문 ⟩

초록

Limit cycle oscillations of a two-dimensional airfoil with quadratic and cubic pitching nonlinearities are investigated. The equivalent stiffness of the pitching stiffness is obtained by combining the linearization and harmonic balance method. With the equivalent stiffness, the equivalent linearization method for nonlinear flutter analysis is generalized to address aeroelastic system with quadratic nonlinearity. Numerical example shows that good approximation of the limit cycle can be obtained by the generalized method. Furthermore, the proposed method is capable of revealing the unsymmetry of the limit cycle; however the ordinary equivalent linearization method fails to do so.

키워드

참고문헌

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피인용 문헌

  1. Analytical and Experimental Aeroelastic Wing Flutter Analysis and Suppression vol.15, pp.06, 2015, https://doi.org/10.1142/S0219455414500849
  2. Equivalent linearization method for the flutter system of an airfoil with multiple nonlinearities vol.17, pp.12, 2012, https://doi.org/10.1016/j.cnsns.2012.06.002
  3. Bifurcation analysis of aeroelastic systems with hysteresis by incremental harmonic balance method vol.219, pp.5, 2012, https://doi.org/10.1016/j.amc.2012.08.034
  4. Incremental harmonic balance method for nonlinear flutter of an airfoil with uncertain-but-bounded parameters vol.36, pp.2, 2012, https://doi.org/10.1016/j.apm.2011.07.016
  5. Calculations of the bounds on limit cycle oscillations in nonlinear aeroelastic systems based on equivalent linearization vol.57, pp.6, 2014, https://doi.org/10.1007/s11431-014-5562-9
  6. Highly Accurate Solution of Limit Cycle Oscillation of an Airfoil in Subsonic Flow vol.2011, 2011, https://doi.org/10.1155/2011/926271
  7. Flutter analysis of an airfoil with nonlinear damping using equivalent linearization vol.27, pp.1, 2014, https://doi.org/10.1016/j.cja.2013.07.020
  8. Nonlinear Aeroelastic Responses of an Airfoil with a Control Surface by Precise Integration Method vol.790, pp.None, 2008, https://doi.org/10.1088/1757-899x/790/1/012091