Abstract
This paper presents the modeling and simulation of shape memory alloy (SMA) wire actuators for morphing micro air vehicles (MAVs) when exposed to high-velocity wind during flight. The specific operating conditions include thermal insulation, varying convective heat-transfer coefficients due to wind velocity, aerodynamic loads, and operation from MAV battery. Application-oriented modeling parameters were determined from a flyable morphing MAV. The simulation could dynamically generate the morphing angle as a function of the electrical input pulse duty cycle. The model showed that compared with 10 % duty cycle, a 25 % duty cycle achieves an energy saving of 33 % and an increase in actuation speed of 3.7 times. Further, increasing the duty cycle has a negligible improvement in energy saving, but the actuation rate is increased by 15.8 times. The SIMULINK® model, which was validated through the ground test, would help in the design of SMA actuators and controllers for aerospace vehicles and automobiles.
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Abbreviations
- Dt :
-
Duty cycle of the pulse train
- θ D :
-
Droop angle or morphing angle in degree
- VS :
-
Voltage across SMA in volts (V)
- VB :
-
Battery voltage of MAV (V)
- QI :
-
Heat input to SMA (°CW−1)
- QL :
-
Heat loss from SMA (°CW−1)
- R INS :
-
Thermal resistance between SMA wire and sleeve
- R CONV :
-
Thermal resistance between sleeve and ambient
- Nu:
-
Nusselt number
- Re :
-
Reynold’s number
- TS :
-
SMA wire temperature
- TS :
-
SMA wire temperature above ambient
- TI :
-
Insulation sleeve temperature
- T∞ :
-
Free stream air temperature
- \(\bar\sigma\) :
-
Piola-Kirchoffs stress
- σ :
-
Cauchy or the true stress
- ξ :
-
Extent of phase transformation
- \(\bar\epsilon\) :
-
Green strain (strain due to Piola-Kirchoffs stress)
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Acknowledgments
The authors would like to thank Mr. Jithendra J Jadhav, Director NAL for the continuous support, and Dr. Dayananda G.N, Head CSMST for the motivation, support, discussions, and suggestions. We would also like to thank Dr. Aran. S for checking the thermodynamic equations, Mr. Thulasi Durai, Mr. Ramesha, K., Mr. Aran, P. and team-CSMST, NAL for their support. Our sincere thanks also go to the NPMASS program of the Govt. of India for funding the initial phase of this work and Dr. Bhaumik, S.K. and his team, NAL for providing the SMA wires.
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G. M. Kamalakannan has M.Tech. in Electronics Engg. from VTU and he currently pursuing Ph.D. He is a Senior Principal Scientist at CSMST, NAL. He has over twenty years of experience in the design, development and commercialization of electronics, control and instrumentation systems and application software for aerospace composites process equipment, which include aerospace grade autoclave, multi zone hot bonder and automated resin infusion system. He has also lead a project on morphing wing micro air vehicle and his research interests include application of smart materials.
Giresh Kumar Singh has B.Tech. and M.Tech. in Aerospace Engg. and Ph.D in Electrical Engg. from IIT-Kanpur. He is currently a Senior Principal Scientist in the Flight Mechanics & Control Division of CSIR-NAL. He has been involved in the design, development, and testing of flight control laws for civil & military aircraft. He has several journal publications to his credit. His research interests include flight dynamics of aerial vehicles, design of flight control algorithms and optimization.
C. M. Ananda did his Ph.D. in Embedded Avionics. He has handled projects at national and international level with a budget of over 30 crores. He is currently a Professor and the Head of Aerospace Electronics and Systems Division, Ac-SIR and a Chief Scientist. He has to his credit number of awards for excellent project execution of various projects, NAL Technology shield award and many more. He has 9 journal publications and 28 conference publications along with one book chapter.
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Kamalakannan, G.M., Singh, G.K. & Ananda, C.M. Influence of thermal insulation and wind velocity on the SMA actuator for morphing applications. J Mech Sci Technol 33, 4459–4468 (2019). https://doi.org/10.1007/s12206-019-0842-8
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DOI: https://doi.org/10.1007/s12206-019-0842-8