Passive Dynamic Stability of a Hovering Fruit Fly: a Comparison between Linear and Nonlinear Methods
Insects exhibit exquisite control of their flapping flight, capable of performing precise stability and steering maneuverability. To tackle this highly nonlinear problem we have developed two simulation-based methods to investigate the dynamic passive stability of insect flight: linear and nonlinear...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
The Japan Society of Mechanical Engineers
2010-12-01
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| Series: | Journal of Biomechanical Science and Engineering |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/jbse/5/5/5_5_591/_pdf/-char/en |
| _version_ | 1818521871004467200 |
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| author | Na GAO Hao LIU |
| author_facet | Na GAO Hao LIU |
| author_sort | Na GAO |
| collection | DOAJ |
| description | Insects exhibit exquisite control of their flapping flight, capable of performing precise stability and steering maneuverability. To tackle this highly nonlinear problem we have developed two simulation-based methods to investigate the dynamic passive stability of insect flight: linear and nonlinear methods. In the linear theory, the equations of body motion are linearized and the techniques of eigenvalue and eigenvector analysis are employed to obtain the natural modes. Three natural modes are identified including an unstable oscillatory mode, a stable fast subsidence mode and a stable slow subsidence mode, which indicate that the fruit fly hovering flight is dynamic unstable. While in the nonlinear theory, the equations of 6 DoF motion are solved directly by coupling with the N-S equations. The time-varying time histories of the state variables are calculated, indicating that the state of fruit fly under disturbance conditions shows a very nonlinear transient interval initially but turns to unstable eventually. However, our results also illustrate that a fruit fly does have sufficient time to apply some active mediation to sustain a steady hovering before losing body attitudes. |
| first_indexed | 2024-12-11T01:57:07Z |
| format | Article |
| id | doaj.art-f37b5cbf751e413d8b9b0dbb0deaf4d8 |
| institution | Directory Open Access Journal |
| issn | 1880-9863 |
| language | English |
| last_indexed | 2024-12-11T01:57:07Z |
| publishDate | 2010-12-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Journal of Biomechanical Science and Engineering |
| spelling | doaj.art-f37b5cbf751e413d8b9b0dbb0deaf4d82022-12-22T01:24:36ZengThe Japan Society of Mechanical EngineersJournal of Biomechanical Science and Engineering1880-98632010-12-015559160210.1299/jbse.5.591jbsePassive Dynamic Stability of a Hovering Fruit Fly: a Comparison between Linear and Nonlinear MethodsNa GAO0Hao LIU1Graduate School of Engineering, Chiba UniversityGraduate School of Engineering, Chiba UniversityInsects exhibit exquisite control of their flapping flight, capable of performing precise stability and steering maneuverability. To tackle this highly nonlinear problem we have developed two simulation-based methods to investigate the dynamic passive stability of insect flight: linear and nonlinear methods. In the linear theory, the equations of body motion are linearized and the techniques of eigenvalue and eigenvector analysis are employed to obtain the natural modes. Three natural modes are identified including an unstable oscillatory mode, a stable fast subsidence mode and a stable slow subsidence mode, which indicate that the fruit fly hovering flight is dynamic unstable. While in the nonlinear theory, the equations of 6 DoF motion are solved directly by coupling with the N-S equations. The time-varying time histories of the state variables are calculated, indicating that the state of fruit fly under disturbance conditions shows a very nonlinear transient interval initially but turns to unstable eventually. However, our results also illustrate that a fruit fly does have sufficient time to apply some active mediation to sustain a steady hovering before losing body attitudes.https://www.jstage.jst.go.jp/article/jbse/5/5/5_5_591/_pdf/-char/eninsect flightfruit flypassive dynamic stabilityflight dynamicsns equation |
| spellingShingle | Na GAO Hao LIU Passive Dynamic Stability of a Hovering Fruit Fly: a Comparison between Linear and Nonlinear Methods Journal of Biomechanical Science and Engineering insect flight fruit fly passive dynamic stability flight dynamics ns equation |
| title | Passive Dynamic Stability of a Hovering Fruit Fly: a Comparison between Linear and Nonlinear Methods |
| title_full | Passive Dynamic Stability of a Hovering Fruit Fly: a Comparison between Linear and Nonlinear Methods |
| title_fullStr | Passive Dynamic Stability of a Hovering Fruit Fly: a Comparison between Linear and Nonlinear Methods |
| title_full_unstemmed | Passive Dynamic Stability of a Hovering Fruit Fly: a Comparison between Linear and Nonlinear Methods |
| title_short | Passive Dynamic Stability of a Hovering Fruit Fly: a Comparison between Linear and Nonlinear Methods |
| title_sort | passive dynamic stability of a hovering fruit fly a comparison between linear and nonlinear methods |
| topic | insect flight fruit fly passive dynamic stability flight dynamics ns equation |
| url | https://www.jstage.jst.go.jp/article/jbse/5/5/5_5_591/_pdf/-char/en |
| work_keys_str_mv | AT nagao passivedynamicstabilityofahoveringfruitflyacomparisonbetweenlinearandnonlinearmethods AT haoliu passivedynamicstabilityofahoveringfruitflyacomparisonbetweenlinearandnonlinearmethods |