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Stable flapping flight in morphological space: Model, simulation, and explicit stability criteria.

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Title: Stable flapping flight in morphological space: Model, simulation, and explicit stability criteria.
Authors: Wetherbee, Owen C.1, Wang, Z. Jane1,2 jane.wang@cornell.edu
Source: Proceedings of the National Academy of Sciences of the United States of America. 5/5/2026, Vol. 123 Issue 18, p1-9. 9p.
Subjects: Stability criterion, Insect flight, Computer simulation, Ornithopters, Morphology, Aerodynamic stability
Abstract: Understanding flight evolution requires quantifiable metrics. The complex flight dynamics and the vast morphological space insects have explored make it extremely challenging to define and understand what combinations of traits lead to these successful flyers. In this work, we constructed a mathematically tractable free-flight model, including the nonlinear wing-body coupling, to elucidate the effect of morphology on flight stability. Using this model to simulate almost a million different forms, we identified a region of passively stable upward flight, in addition to generic unstable flight. Analyzing the stability boundary in the 5D morphological and kinematic space, we found a set of explicit criteria that approximate the stability transitions, and expressed them in terms of two physically interpretable constraints. These two stability criteria provide a succinct metric for stability, quantifying the distance of an insect from the stable region directly from morphology, thus organizing a complex flight trait in a reduced and physically interpretable space. As such, they provide a framework for designing stable flapping-wing robots and for quantification of a critical phenotypic flight trait on top of the established phylogenetic relationships among insects. [ABSTRACT FROM AUTHOR]
Copyright of Proceedings of the National Academy of Sciences of the United States of America is the property of National Academy of Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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PubType: Academic Journal
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  Data: Stable flapping flight in morphological space: Model, simulation, and explicit stability criteria.
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  Data: <searchLink fieldCode="DE" term="%22Stability+criterion%22">Stability criterion</searchLink><br /><searchLink fieldCode="DE" term="%22Insect+flight%22">Insect flight</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Ornithopters%22">Ornithopters</searchLink><br /><searchLink fieldCode="DE" term="%22Morphology%22">Morphology</searchLink><br /><searchLink fieldCode="DE" term="%22Aerodynamic+stability%22">Aerodynamic stability</searchLink>
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  Data: Understanding flight evolution requires quantifiable metrics. The complex flight dynamics and the vast morphological space insects have explored make it extremely challenging to define and understand what combinations of traits lead to these successful flyers. In this work, we constructed a mathematically tractable free-flight model, including the nonlinear wing-body coupling, to elucidate the effect of morphology on flight stability. Using this model to simulate almost a million different forms, we identified a region of passively stable upward flight, in addition to generic unstable flight. Analyzing the stability boundary in the 5D morphological and kinematic space, we found a set of explicit criteria that approximate the stability transitions, and expressed them in terms of two physically interpretable constraints. These two stability criteria provide a succinct metric for stability, quantifying the distance of an insect from the stable region directly from morphology, thus organizing a complex flight trait in a reduced and physically interpretable space. As such, they provide a framework for designing stable flapping-wing robots and for quantification of a critical phenotypic flight trait on top of the established phylogenetic relationships among insects. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Proceedings of the National Academy of Sciences of the United States of America is the property of National Academy of Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=193687876
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        Value: 10.1073/pnas.2533138123
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        Text: English
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        PageCount: 9
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      – SubjectFull: Stability criterion
        Type: general
      – SubjectFull: Insect flight
        Type: general
      – SubjectFull: Computer simulation
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      – SubjectFull: Ornithopters
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      – SubjectFull: Morphology
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      – SubjectFull: Aerodynamic stability
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              Text: 5/5/2026
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