Non-linear dynamic analysis of a piezoelectrically actuated flapping wing

Journal of Intelligent Material Systems and Structures

Volumn 21, Issue 12, 2010, Pages 1157-1167

  Mukherjee, Sujoy ^a   Ganguli, Ranjan ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

aerodynamics; flapping; MAV; non linear vibrations; piezofan

Indexed keywords

AERODYNAMIC FORCES; DYNAMIC CHARACTERISTICS; ENERGY METHOD; FLAPPING; FLAPPING ANGLE; FLAPPING WING; MAV; NON-LINEAR DYNAMIC ANALYSIS; NON-LINEAR VIBRATIONS; NUMERICAL SIMULATION; PIEZOFAN; PZT; SMART WING; STRIP THEORY; UNIMORPH; UNSTEADY AERODYNAMICS;

DYNAMIC ANALYSIS; EQUATIONS OF MOTION; MICRO AIR VEHICLE (MAV);

AERODYNAMICS;

EID: 78650139614     PISSN: 1045389X     EISSN: 15308138     Source Type: Journal    
DOI: 10.1177/1045389X10378776     Document Type: Article

References (37)

1. Ansari, S.A., Zbikowski, R. and Knowles, K. 2006. "Aerodynamic Modelling of Insect-like Flapping Flight for Micro Air Vehicles, " Progress in Aerospace Sciences, 42: 129-172. (Pubitemid 44332001)
2. Basak, S., Raman, A. and Garimella, S.V. 2005. "Dynamic Response Optimization of Piezoelectrically Excited Thin Resonant Beams, " Journal of Vibration and Acoustics-Transactions of the ASME, 127: 18-27.
3. Betteridge, D.S. and Archer, R.D. 1974. "A Study of the Mechanics of Flapping Wings, " Aeronautical Quarterly, 25: 129-142.
4. Chopra, I. 2002. "Review of State of Art of Smart Structures and Integrated Systems, " AIAA Journal, 40: 2145-2187.
5. Chung, H.C., Kummari, K.L., Croucher, S.J., Lawson, N., Guo, S. and Huang, Z. 2008. "Coupled Piezoelectric Fans with Two Degree of Freedom Motion for the Application of Flapping Wing Micro Aerial Vehicles, " Sensors and Actuators APhysical, 147: 607-612.
6. Chung, H.C., Kummari, K.L., Croucher, S.J., Lawson, N., Guo, S., Whatmore, R.W. and Huang, Z. 2009. "Development of Piezoelectric Fans for Flapping Wing Application," Sensors and Actuators A - Physical, 149: 136-142.
7. Combes, S.A. and Daniel, T.L. 2003. "Flexural Stiffness in Insect Wings II. Spatial Distribution and Dynamic Wing Bending, " Journal of Experimental Biology, 206: 2989-2997.
8. Cox, A., Monopoli, D., Cveticanin, D., Goldfarb, M. and Garcia, E. 2002. "The Development of Elastodynamic Components for Piezoelectrically Actuated Flapping Micro-air Vehicles, " Journal of Intelligent Material Systems and Structures, 13: 611-615.
9. DeLaurier, J.D. 1993. "An Aerodynamic Model for Flapping-wing Flight, " Aeronautical Journal, 97: 125-130.
10. Deng, X., Schenato, L., Wu, W.C. and Sastry, S.S. 2006. "Flapping Flight for Biomimetic Robotic Insects: Part I - System Modeling, " IEEE Transactions on Robotics, 22: 776-788. (Pubitemid 44263864)
11. Dickinson, M.H., Lehmann, F.O. and Sane, S.P. 1999. "Wing Rotation and the Aerodynamic Basis of Insect Flight, " Science, 284: 1954-1960.
12. Hsieh, S.R., Shaw, S.W. and Pierre, C. 1994. "Normal Modes for Large Amplitude Vibration of a Cantilever Beam, " International Journal of Solids and Structures, 31: 1981-2014.
13. Ke, S., Zhigang, W. and Chao, Y. 2008. "Analysis and Flexible Structural Modeling for Oscillating Wing Utilizing Aeroelasticity, " Chinese Journal of Aeronautics, 21: 402-410.
14. Kim, D.K., Kim, H.I., Han, J.H. and Kwon, K.J. 2008. "Experimental Investigation on the Aerodynamic Characteristics of a Bio-mimetic Flapping Wing with Macro-fiber Composites, " Journal of Intelligent Material Systems and Structures, 19: 423-431.
15. Lobontiu, N., Goldfarb, M. and Garcia, E. 1999. "Achieving Maximum Tip Deflection during Resonant Excitation of Piezoelectrically Actuated Beams, " Journal of Intelligent Material Systems and Structures, 10: 900-913.
16. Mahmoodi, S.N. and Jalili, N. 2007. "Non-linear Vibrations and Frequency Response Analysis of Piezoelectrically Driven Microcantilevers, " International Journal of Non-Linear Mechanics, 42: 577-587.
17. McIntosh, S.H., Agrawal, S.K. and Khan, Z. 2006. "Design of a Mechanism for Biaxial Rotation of a Wing for a Hovering Vehicle, " IEEE/ASME Transaction on Mechatronics, 11: 145-153.
18. Nayfeh, A.H. 1973. Perturbation Methods, Wiley, New York.
19. Nayfeh, A.H. and Mook, D.T. 1979. Nonlinear Oscillations, Wiley, NewYork.
20. Nguyen, V.Q., Syaifuddin, M., Park, H.C., Byun, D.Y., Goo, N.S. and Yoon, K.J. 2008. "Characteristics of an Insect-mimicking Flapping System Actuated by a Unimorph Piezoceramic Actuator, " Journal of Intelligent Material Systems and Structures, 19: 1185-1193.
21. Pines, D.J. and Bohorquez, F. 2006. "Challenges Facing Future Micro-air-vehicle Development, " Journal of Aircraft, 43: 290-305.
22. Raney, D.L. and Slominski, E.C. 2004. "Mechanization and Control Concepts for Biologically Inspired Micro Aerial Vehicles, " Journal of Aircraft, 41: 1257-1265.
23. Rosenfeld, N.C. and Wereley, N.M. 2009. "Time-periodic Stability of a Flapping Insect Wing Structure in Hover," Journal of Aircraft, 46: 450-464.
24. Singh, B. and Chopra, I. 2008. "Insect-based Hover-capable Flapping Wings for Micro Air Vehicles: Experiments and Analysis, " AIAA Journal, 46: 2115-2135.
25. Sitti, M. 2003. "Piezoelectrically Actuated Four-bar Mechanism with Two Flexible Links for Micromechanical Flying Insect Thorax, " IEEE-ASME Transactions on Mechatronics, 8: 26-36.
26. Tanaka, K., Oonuki, M., Moritake, N. and Uchiki, H. 2009. "Cu2ZnSnS4 Thin Film Solar Cells Prepared by Non-vacuum Processing," Solar Energy Materials and Solar Cells, 93: 583-587.
27. Tarascio, M.J., Ramasamy, M., Chopra, I. and Leishman, J.G. 2005. "Flow Visualization of Micro Air Vehicle Scaled Insect-based Flapping Wings, " Journal of Aircraft, 42: 385-390. (Pubitemid 40611735)
28. Toda, M. and Osaka, S. 1979. "Vibrational Fan Using the Piezoelectric Polymer PVF2," Proceedings of the IEEE, 67: 1171-1173.
29. Tsuyuki, K., Sudo, S. and Tani, J. 2006. "Morphology of Insect Wings and Airflow Produced by Flapping Insects, " Journal of Intelligent Material Systems and Structures, 17: 743-751.
30. VandenBerg, C. and Ellington, C.P. 1997. "The Vortex Wake of a 'Hovering' Model Hawkmoth," Philosophical Transactions of the Royal Society of London Series B-Biological Sciences, 352: 317-328.
31. Wait, S.M., Basak, S., Garimella, S.V. and Raman, A. 2007. "Piezoelectric Fans Using Higher Flexural Modes for Electronics Cooling Applications, " IEEE Transactions on Components and Packaging Technologies, 30: 119-128.
32. Wang, Z.J. 2000. "Vortex Shedding and Frequency Selection in Flapping Flight, " Journal of Fluid Mechanics, 410: 323-341.
33. Wu, J.H. and Sun, M. 2004. "Unsteady Aerodynamic Forces of a Flapping Wing, " Journal of Experimental Biology, 207: 1137-1150.
34. Yamamoto, M. and Isogai, K. 2005. "Measurement of Unsteady Fluid Dynamics Forces for a Mechanical Dragonfly Model, " AIAA Journal, 43: 2475-2480.
35. Yao, K. and Uchino, K.J. 2001. "Analysis on a Composite Cantilever Beam Coupling a Piezoelectric Bimorph to an Elastic Blade, " Sensors and Actuators A - Physical, 89: 215-221.
36. Yoo, J.H., Hong, J.I. and Cao, W. 2000. "Piezoelectric Ceramic Bimorph Coupled to Thin Metal Plate as Cooling Fan for Electronic Devices, " Sensors and Actuators A - Physical, 79: 8-12.
37. Zeng, L., Matsumoto, H. and Kawachi, K. 1996. "A Fringe Shadow Method for Measuring Flapping Angle and Torsional Angle of a Dragonfly Wing, " Measurement Science and Technology, 7: 776-781.