Approximate Aeroelastic Modeling of Flapping Wings: Comparison with CFD and Experimental Data

Results generated from an aeroelastic model obtained by coupling a nonlinear structural dynamic model based on MARC with an approximate aerodynamic model that incorporates leading edge vortices and a wake model are presented. The aerodynamic model, used in our earlier studies, is extended to forward ∞ight. Results presented describe structural dynamic and aeroelastic studies conducted on isotropic and anisotropic wings in hover. For the cases considered, the approximate model shows reasonable agreement with the CFD based results. Comparisons with experiment indicate that the approximate model captures trends accurately, but under predicts the magnitude of thrust. Preliminary results obtained for a rigid ∞apping wing in forward ∞ight indicate that, for the cases considered, peak lift generated by the wing increases as forward ∞ight speed increases.

[1]  Thomas J. Mueller,et al.  Fixed and Flapping Wing Aerodynamics for Micro Air Vehicle Applications , 2001 .

[2]  Peretz P. Friedmann,et al.  Nonlinear Aeroelastic Effects in Flapping Wing Micro Air Vehicles , 2008 .

[3]  Kevin Knowles,et al.  Non-linear unsteady aerodynamic model for insect-like flapping wings in the hover. Part 1: Methodology and analysis , 2006 .

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

[5]  W. Shyy,et al.  Aerodynamics of Low Reynolds Number Flyers , 2007 .

[6]  Nathaniel P. Jacobson,et al.  Induced airflow in flying insects II. Measurement of induced flow , 2006, Journal of Experimental Biology.

[7]  Peter Ifju,et al.  A Multidisciplinary Experimental Study of Flapping Wing Aeroelasticity in Thrust Production , 2009 .

[8]  E. Polhamus A concept of the vortex lift of sharp-edge delta wings based on a leading-edge-suction analogy , 1966 .

[9]  Satish Kumar,et al.  A Computational and Experimental Studies of Flexible Wing Aerodynamics , 2010 .

[10]  C. A CONCEPT OF THE VORTEX LIFT OF SHARP-EDGE DELTA WINGS BASED ON A LEADING-EDGE-SUCTION ANALOGY By , 2002 .

[11]  Joseph Katz,et al.  A discrete vortex method for the non-steady separated flow over an airfoil , 1981, Journal of Fluid Mechanics.

[12]  Wei Shyy,et al.  Aerodynamics of Low Reynolds Number Flyers: Flapping-Wing Aerodynamics , 2010 .

[13]  Kevin Knowles,et al.  Aerodynamic modelling of insect-like flapping flight for micro air vehicles , 2006 .

[14]  Jeff D. Eldredge,et al.  An inviscid model for vortex shedding from a deforming body , 2007 .

[15]  K. Bathe Finite Element Procedures , 1995 .

[16]  Thomas L Daniel,et al.  Flexible Wings and Fins: Bending by Inertial or Fluid-Dynamic Forces?1 , 2002, Integrative and comparative biology.

[17]  C. Ellington,et al.  The mechanics of flight in the hawkmoth Manduca sexta. I. Kinematics of hovering and forward flight. , 1997, The Journal of experimental biology.

[18]  J. Katz,et al.  Low-Speed Aerodynamics , 1991 .

[19]  Wei Shyy,et al.  Computational aerodynamics of low Reynolds number plunging, pitching and flexible wings for MAV applications , 2008 .

[20]  Carlos E. S. Cesnik,et al.  Flapping Wing CFD/CSD Aeroelastic Formulation Based on a Co- rotational Shell Finite Element , 2009 .

[21]  Wei Shyy,et al.  Computational aeroelasticity framework for analyzing flapping wing micro air vehicles , 2008 .

[22]  J. Gordon Leishman,et al.  Principles of Helicopter Aerodynamics , 2000 .

[23]  T. Daniel,et al.  Into thin air: contributions of aerodynamic and inertial-elastic forces to wing bending in the hawkmoth Manduca sexta , 2003, Journal of Experimental Biology.

[24]  K. Bathe,et al.  FINITE ELEMENT FORMULATIONS FOR LARGE DEFORMATION DYNAMIC ANALYSIS , 1975 .

[25]  Wei Shyy,et al.  A computational and experimental study of flexible flapping wing aerodynamics , 2010 .

[26]  Sanjay P Sane,et al.  The aerodynamics of insect flight , 2003, Journal of Experimental Biology.

[27]  Inderjit Chopra,et al.  An Aeroelastic Analysis for the Design of Insect-Based Flapping Wings , 2007 .

[28]  John Young,et al.  Flapping Wing Aerodynamics: Progress and Challenges , 2008 .

[29]  Carlos E. S. Cesnik,et al.  Computational Aeroelasticity Framework for Analyzing Flapping Wing Micro Air Vehicles , 2009 .

[30]  Sanjay P Sane,et al.  Induced airflow in flying insects I. A theoretical model of the induced flow , 2006, Journal of Experimental Biology.