This paper uses optimal periodic control (OPC) theory as a framework for assessing the relative efficiency of revolving versus flapping wing trajectories in insect-sized flight problems. The literature already offers both experimental and simulation-based comparisons between these two flight modes. A collective conclusion from these studies is that the potential advantages of flapping flight depend on many factors such as Reynolds number, wing size/morphology, wing kinematic constraints, aerodynamic efficiency metrics, etc. This makes it necessary to develop a unified framework for comparing these flight modes under various conditions. We address this need by using the π test from OPC theory as a tool for analyzing the degree to which one can improve the efficiency of steady rotary hovering flight through periodic trajectory perturbations. A quasi-steady insect flight model from the literature is adopted as a case study. The paper applies the π test to this model. It then concludes by solving for the optimal lift-power Pareto fronts for both flight modes, and using these Pareto fronts to confirm the results predicted by the π test.
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ASME 2018 Dynamic Systems and Control Conference
September 30–October 3, 2018
Atlanta, Georgia, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-5189-0
PROCEEDINGS PAPER
Rotary Versus Flapping Flight: An Application Study for Optimal Periodic Control Theory
Mohammad Ghanaatpishe,
Mohammad Ghanaatpishe
Pennsylvania State University, University Park, PA
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Yağiz E. Bayiz,
Yağiz E. Bayiz
Pennsylvania State University, University Park, PA
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Bo Cheng,
Bo Cheng
Pennsylvania State University, University Park, PA
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Hosam K. Fathy
Hosam K. Fathy
Pennsylvania State University, University Park, PA
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Mohammad Ghanaatpishe
Pennsylvania State University, University Park, PA
Yağiz E. Bayiz
Pennsylvania State University, University Park, PA
Bo Cheng
Pennsylvania State University, University Park, PA
Hosam K. Fathy
Pennsylvania State University, University Park, PA
Paper No:
DSCC2018-9118, V001T11A003; 11 pages
Published Online:
November 12, 2018
Citation
Ghanaatpishe, M, Bayiz, YE, Cheng, B, & Fathy, HK. "Rotary Versus Flapping Flight: An Application Study for Optimal Periodic Control Theory." Proceedings of the ASME 2018 Dynamic Systems and Control Conference. Volume 1: Advances in Control Design Methods; Advances in Nonlinear Control; Advances in Robotics; Assistive and Rehabilitation Robotics; Automotive Dynamics and Emerging Powertrain Technologies; Automotive Systems; Bio Engineering Applications; Bio-Mechatronics and Physical Human Robot Interaction; Biomedical and Neural Systems; Biomedical and Neural Systems Modeling, Diagnostics, and Healthcare. Atlanta, Georgia, USA. September 30–October 3, 2018. V001T11A003. ASME. https://doi.org/10.1115/DSCC2018-9118
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