A comparative study of dragonfly inspired flapping wings actuated by single crystal piezoceramic

A dragonfly inspired flapping wing is investigated in this paper. The flapping wing is actuated from the root by a PZT-5H and PZN-7%PT single crystal unimorph in the piezofan configuration. The nonlinear governing equations of motion of the smart flapping wing are obtained using the Hamilton's principle. These equations are then discretized using the Galerkin method and solved using the method of multiple scales. Dynamic characteristics of smart flapping wings having the same size as the actual wings of three different dragonfly species Aeshna Multicolor, Anax Parthenope Julius and Sympetrum Frequens are analyzed using numerical simulations. An unsteady aerodynamic model is used to obtain the aerodynamic forces. Finally, a comparative study of performances of three piezoelectrically actuated flapping wings is performed. The numerical results in this paper show that use of PZN-7%PT single crystal piezoceramic can lead to considerable amount of wing weight reduction and increase of lift and thrust force compared to PZT-5H material. It is also shown that dragonfly inspired smart flapping wings actuated by single crystal piezoceramic are a viable contender for insect scale flapping wing micro air vehicles.

[1]  Sujoy Mukherjee,et al.  Non-linear Dynamic Analysis of a Piezoelectrically Actuated Flapping Wing , 2010 .

[2]  R. Archer,et al.  A Study of the Mechanics of Flapping Wings , 1974 .

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

[4]  R. A. East,et al.  An unsteady lifting line theory of flapping wings with application to the forward flight of birds , 1981, Journal of Fluid Mechanics.

[5]  H. Irschik,et al.  On the static and dynamic stability of beams with an axial piezoelectric actuation , 2008 .

[6]  J. D. Delaurier,et al.  An aerodynamic model for flapping-wing flight , 1993, The Aeronautical Journal (1968).

[7]  David L. Raney,et al.  Mechanization and Control Concepts for Biologically Inspired Micro Aerial Vehicles Micro Aerial Vehicles , 2003 .

[8]  Shijun Guo,et al.  Development of piezoelectric fans for flapping wing application , 2009 .

[9]  J. Rayner.  A vortex theory of animal flight. Part 2. The forward flight of birds , 1979, Journal of Fluid Mechanics.

[10]  Nicholas J. Lawson,et al.  Coupled piezoelectric fans with two degree of freedom motion for the application of flapping wing micro aerial vehicles , 2008 .

[11]  Christophe Pierre,et al.  Normal modes for large amplitude vibration of a cantilever beam , 1994 .

[12]  Sunil K. Agrawal,et al.  An Investigation Into the Use of Springs and Wing Motions to Minimize the Power Expended by a Pigeon-Sized Mechanical Bird for Steady Flight , 2007 .

[13]  S.K. Agrawal,et al.  Design of a Mechanism for Biaxial Rotation of a Wing for a Hovering Vehicle , 2006, The First IEEE/RAS-EMBS International Conference on Biomedical Robotics and Biomechatronics, 2006. BioRob 2006..

[14]  M. Yamamoto.  Measurement of unsteady fluid dynamic force for a mechanical dragonfly model , 2005 .

[15]  Sunil K. Agrawal,et al.  Biologically Inspired Design Of Small Flapping Wing Air Vehicles Using Four-Bar Mechanisms And Quasi-steady Aerodynamics , 2005 .

[16]  Norman M. Wereley,et al.  Time-Periodic Stability of a Flapping Insect Wing Structure in Hover , 2009 .

[17]  Wu Zhigang,et al.  Analysis and Flexible Structural Modeling for Oscillating Wing Utilizing Aeroelasticity , 2008 .

[18]  L. Lim,et al.  Elastic modulus, hardness and fracture behavior of Pb(Zn1/3Nb2/3)O3–PbTiO3 single crystal , 2008 .

[19]  Inderjit Chopra,et al.  Insect-Based Hover-Capable Flapping Wings for Micro Air Vehicles: Experiments and Analysis , 2008 .

[20]  Nam Seo Goo,et al.  Design and evaluation of a LIPCA-actuated flapping device , 2006 .

[21]  Hoon Cheol Park,et al.  Characteristics of a beetle’s free flight and a flapping-wing system that mimics beetle flight , 2010 .

[22]  Hu Jin-song,et al.  VISCOELASTIC CONSTITUTIVE MODEL RELATED TO DEFORMATION OF INSECT WING UNDER LOADING IN FLAPPING MOTION , 2006 .

[23]  Manabu Yamamoto,et al.  Direct Measurement of Unsteady Fluid Dynamic Forces for a Hovering Dragonfly , 2005 .

[24]  Kui Yao,et al.  Analysis on a composite cantilever beam coupling a piezoelectric bimorph to an elastic blade , 2001 .

[25]  David L. Raney,et al.  Mechanization and Control Concepts for Biologically Inspired Micro Air Vehicles , 2004 .

[26]  Ranjan Ganguli,et al.  Use of single crystal and soft piezoceramics for alleviation of flow separation induced vibration in a smart helicopter rotor , 2006 .

[27]  M. Dickinson,et al.  Wing rotation and the aerodynamic basis of insect flight. , 1999, Science.

[28]  Jae-Hung Han,et al.  Improved Aerodynamic Model for Efficient Analysis of Flapping-Wing Flight , 2011 .

[29]  C. Ellington,et al.  The vortex wake of a ‘hovering’ model hawkmoth , 1997 .

[30]  Ranjan Ganguli,et al.  An Experimental and Numerical Study of Calliphora Wing Structure , 2010 .

[31]  Nader Jalili,et al.  Non-linear vibrations and frequency response analysis of piezoelectrically driven microcantilevers , 2007 .

[32]  Inderjit Chopra,et al.  Review of State of Art of Smart Structures and Integrated Systems , 2002 .

[33]  T. Daniel,et al.  The Journal of Experimental Biology 206, 2989-2997 © 2003 The Company of Biologists Ltd , 2003 .

[34]  Jie Zhang,et al.  Aerodynamic performance due to forewing and hindwing interaction in gliding dragonfly flight. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[35]  Prashant M. Pawar,et al.  Single-crystal-material-based induced-shear actuation for vibration reduction of helicopters with composite rotor system , 2008 .

[36]  Rui Zhang,et al.  Complete set of material constants of 0.93Pb(Zn1/3Nb2/3)O3-0.07PbTiO3 domain engineered single crystal , 2002 .

[37]  M. Goldfarb,et al.  The Development of Elastodynamic Components for Piezoelectrically Actuated Flapping Micro-Air Vehicles , 2002 .

[38]  Shigeru Sunada,et al.  The Relationship Between Dragonfly Wing Structure and Torsional Deformation , 1998 .

[39]  M. Damodaran,et al.  Computation of Unsteady Low Reynolds Number Free-Flight Aerodynamics of Flapping Wings , 2010 .

[40]  H. Park,et al.  Characteristics of an Insect-mimicking Flapping System Actuated by a Unimorph Piezoceramic Actuator , 2008 .

[41]  Junseong Lee,et al.  Longitudinal Flight Dynamics of Bio-inspired Ornithopter Considering Fluid-Structure Interaction , 2010 .

[42]  Metin Sitti,et al.  Piezoelectrically actuated four-bar mechanism with two flexible links for micromechanical flying insect thorax , 2003 .

[43]  Jae-Hung Han,et al.  Experimental Investigation on the Aerodynamic Characteristics of a Bio-mimetic Flapping Wing with Macro-fiber Composites , 2008 .

[44]  Jae-Hung Han,et al.  Wind tunnel tests for a flapping wing model with a changeable camber using macro-fiber composite actuators , 2009 .

[45]  J. Ko,et al.  Effects of corrugation of the dragonfly wing on gliding performance. , 2009, Journal of theoretical biology.

[46]  Lung-Jieh Yang,et al.  Light Flapping Micro Aerial Vehicle Using Electrical-Discharge Wire-Cutting Technique , 2009 .

[47]  James E. Hubbard,et al.  Computational Study of Flexible Wing Ornithopter Flight , 2008 .

[48]  Ranjan Ganguli,et al.  Single-crystal piezoceramic actuation for dynamic stall suppression , 2006 .

[49]  S. Osaka,et al.  Vibrational fan using the piezoelectric polymer PVF2 , 1979, Proceedings of the IEEE.

[50]  Ulla M. Norberg,et al.  Evolution of Vertebrate Flight: An Aerodynamic Model for the Transition from Gliding to Active Flight , 1985, The American Naturalist.

[51]  S.V. Garimella,et al.  Piezoelectric Fans Using Higher Flexural Modes for Electronics Cooling Applications , 2007, IEEE Transactions on Components and Packaging Technologies.