The need for higher-order averaging in the stability analysis of hovering, flapping-wing flight
Because of the relatively high flapping frequency associated with hovering insects and flapping wing micro-air vehicles (FWMAVs), dynamic stability analysis typically involves direct averaging of the time-periodic dynamics over a flapping cycle. However, direct application of the averaging theorem m...
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| Veröffentlicht in: | Bioinspiration & biomimetics 2015-01, Vol.10 (1), p.016002-016002 |
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| container_title | Bioinspiration & biomimetics |
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| creator | Taha, Haithem E Tahmasian, Sevak Woolsey, Craig A Nayfeh, Ali H Hajj, Muhammad R |
| description | Because of the relatively high flapping frequency associated with hovering insects and flapping wing micro-air vehicles (FWMAVs), dynamic stability analysis typically involves direct averaging of the time-periodic dynamics over a flapping cycle. However, direct application of the averaging theorem may lead to false conclusions about the dynamics and stability of hovering insects and FWMAVs. Higher-order averaging techniques may be needed to understand the dynamics of flapping wing flight and to analyze its stability. We use second-order averaging to analyze the hovering dynamics of five insects in response to high-amplitude, high-frequency, periodic wing motion. We discuss the applicability of direct averaging versus second-order averaging for these insects. |
| doi_str_mv | 10.1088/1748-3190/10/1/016002 |
| format | Article |
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Biomim</addtitle><date>2015-01-05</date><risdate>2015</risdate><volume>10</volume><issue>1</issue><spage>016002</spage><epage>016002</epage><pages>016002-016002</pages><issn>1748-3190</issn><eissn>1748-3190</eissn><coden>BBIICI</coden><abstract>Because of the relatively high flapping frequency associated with hovering insects and flapping wing micro-air vehicles (FWMAVs), dynamic stability analysis typically involves direct averaging of the time-periodic dynamics over a flapping cycle. However, direct application of the averaging theorem may lead to false conclusions about the dynamics and stability of hovering insects and FWMAVs. Higher-order averaging techniques may be needed to understand the dynamics of flapping wing flight and to analyze its stability. We use second-order averaging to analyze the hovering dynamics of five insects in response to high-amplitude, high-frequency, periodic wing motion. 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| subjects | Animals Biological Clocks - physiology Computer Simulation flapping flight flight dynamics Flight, Animal - physiology higher order averaging insect hovering stability Insecta - physiology Linear Models Models, Biological nonlinear Orientation - physiology Oscillometry - methods Rheology - methods time-periodic systems Wings, Animal - physiology |
| title | The need for higher-order averaging in the stability analysis of hovering, flapping-wing flight |
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