Computational Aeroelasticity Framework for Analyzing Flapping Wing Micro Air Vehicles

Because of their small size and flight regime, coupling of aerodynamics, structural dynamics, and flight dynamics are critical for micro aerial vehicles. This paper presents a computational framework for simulating structural models of varied fidelity and a Navier-Stokes solver, aimed at simulating flapping and flexible wings. The structural model uses either 1) the in-house developed UM/NLABS, which decomposes the equations of 3-D elasticity into cross-sectional and spanwise analyses for slender wings, or 2) MSC.Marc, which is a commercial finite-element solver capable of modeling geometrically nonlinear structures of arbitrary geometry. The flow solver employs a well-tested pressure-based algorithm implemented in STREAM. A NACA0012 cross-sectional rectangular wing of aspect ratio 3, chord Reynolds number of 3 x 10 4 , and reduced frequency varying from 0.4 to 1.82, with prescribed pure plunge motion is investigated. Both rigid and flexible wing results are presented, and good agreement between experiment and computation are shown regarding tip displacement and thrust coefficient. Issues related to coupling strategies, fluid physics associated with rigid and flexible wings, and implications of fluid density on aerodynamic loading are also explored in this paper.

[1]  Kenneth S. Breuer,et al.  The Aero-Mechanics of Low Aspect Ratio Compliant Membrane Wings, with Applications to Animal Flight , 2008 .

[2]  D. Pines,et al.  Challenges Facing Future Micro-Air-Vehicle Development , 2006 .

[3]  Michael Smith,et al.  The effects of flexibility on the aerodynamics of moth wings - Towards the development of flapping-wing technology , 1995 .

[4]  Wei Shyy,et al.  Numerical Simulations of Membrane Wing Aerodynamics for Micro Air Vehicle Applications , 2005 .

[5]  Beerinder Singh,et al.  Dynamics and Aeroelasticity of Hover-Capable Flapping Wings: Experiments and Analysis , 2006 .

[6]  Carlos E. S. Cesnik,et al.  Computational fluid-structure interaction of a deformable flapping wing for micro air vehicle applications , 2008 .

[7]  Wei Shyy,et al.  Flapping and flexible wings for biological and micro air vehicles , 1999 .

[8]  P. Thomas,et al.  Geometric Conservation Law and Its Application to Flow Computations on Moving Grids , 1979 .

[9]  Per-Olof Persson,et al.  A Computational Framework for Fluid Structure Interaction in Biologically Inspired Flapping Flight , 2007 .

[10]  Masaki Hamamoto,et al.  Application of fluid–structure interaction analysis to flapping flight of insects with deformable wings , 2007, Adv. Robotics.

[11]  Carlos E. S. Cesnik,et al.  VABS: A New Concept for Composite Rotor Blade Cross-Sectional Modeling , 1995 .

[12]  Dragos Viieru,et al.  Static Aeroelastic Model Validation of Membrane Micro Air Vehicle Wings , 2007 .

[13]  Dragos Viieru,et al.  A Study of Aerodynamics of Low Reynolds Number Flexible Airfoils , 2007 .

[14]  R. Wootton Support and deformability in insect wings , 2009 .

[15]  Carlos E. S. Cesnik,et al.  Evaluation of computational algorithms suitable for fluid-structure interactions , 2000 .

[16]  J. D. Delaurier,et al.  Experimental study of oscillating-wing propulsion , 1982 .

[17]  Carlos E. S. Cesnik,et al.  Cross-sectional analysis of nonhomogeneous anisotropic active slender structures , 2005 .

[18]  Qiang Zhu,et al.  Numerical Simulation of a Flapping Foil with Chordwise or Spanwise Flexibility , 2007 .

[19]  Dragos Viieru,et al.  Membrane Wing-Based Micro Air Vehicles , 2005 .

[20]  Carlos E. S. Cesnik,et al.  Computational modeling of spanwise flexibility effects on flapping wing aerodynamics , 2009 .

[21]  Fabio Nobile,et al.  Added-mass effect in the design of partitioned algorithms for fluid-structure problems , 2005 .

[22]  Richard G. Cobb,et al.  Computational Aeroelastic Analysis of Micro Air Vehicle With Experimentally Determined Modes , 2005 .

[23]  V. Baskar,et al.  Lift and Thrust Characteristics of Flapping Wing Micro Air Vehicle (MAV) , 2005 .

[24]  Sam Heathcote,et al.  Effect of Spanwise Flexibility on Flapping Wing Propulsion , 2006 .

[25]  Carlos E. S. Cesnik,et al.  Geometrically Nonlinear Theory of Composite Beams with Deformable Cross Sections , 2008 .