An efficient method for nonlinear aeroelasticy of slender wings

Shams, S ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1007/s11071-011-0018-2
  3. Publisher: 2012
  4. Abstract:
  5. This paper aims the nonlinear aeroelastic analysis of slender wings using a nonlinear structural model coupled with the linear unsteady aerodynamic model. High aspect ratio and flexibility are the specific characteristic of this type of wings. Wing flexibility, coupled with long wingspan can lead to large deflections during normal flight operation of an aircraft; therefore, a wing in vertical/forward-afterward/torsional motion using a third-order form of nonlinear general flexible Euler-Bernoulli beam equations is used for structural modeling. Unsteady linear aerodynamic strip theory based on the Wagner function is used for determination of aerodynamic loading on the wing. Combining these two types of formulation yields nonlinear integro-differentials aeroelastic equations. Using the Galerkin's method and a mode summation technique, the governing equations will be solved by introducing a numerical method without the need to adding any aerodynamic state space variables and the corresponding equations related to these variables of the problem. The obtained equations are solved to predict the aeroelastic response of the problem. The obtained results for a test case are compared with those of some other works and show a good agreement between results
  6. Keywords:
  7. High aspect ratio wings ; Nonlinear beam equations ; Unsteady aerodynamic ; Aerodynamic loading ; Aeroelastic response ; Euler-Bernoulli beam equation ; Flight operation ; Galerkin's method ; Governing equations ; High aspect ratio ; High-aspect ratio wing ; Large deflection ; Linear aerodynamics ; Mode summation method ; Nonlinear aeroelastic analysis ; Nonlinear beam equation ; Slender wings ; State space ; Strip theory ; Structural modeling ; Structural models ; Test case ; Third-order ; Unsteady aerodynamics ; Wing flexibility ; Aerodynamics ; Aeroelasticity ; Aspect ratio ; Continuum mechanics ; Euler equations ; Flexible wings ; Galerkin methods ; Model structures ; Numerical methods ; Nonlinear equations
  8. Source: Nonlinear Dynamics ; Volume 67, Issue 1 , 2012 , Pages 659-681 ; 0924090X (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs11071-011-0018-2