Stability and Sensitivity Analysis of Bird Flapping Flight
نویسندگان
چکیده
This paper investigates stability analysis of flapping flight. Due to time-varying aerodynamic forces, such systems do not display fixed points equilibrium. The problem is therefore approached via a limit cycle based on Floquet theory. Stability assessed from the eigenvalues Jacobian matrix associated cycle, also known as multipliers. We developed this framework analyze flight equations motion bird in longitudinal plane. Such system be only non-linear and time-dependent, but driven by state-dependent forcing forces. A model accounting for wing morphing under prescribed kinematics generating realistic geometry results envelope continuously articulated rigid bodies, modeling bones feather rachises, capturing biologically relevant degrees freedom. sensitivity carried out which allows studying several configurations trimmed state. Our numerical show that one instability mode ubiquitous, thus suggesting importance sensory feedback achieve steady-state birds. effect wingbeat amplitude, governed shoulder joint, found crucial tuning gait towards level flight, marginally affects stability. In contrast, relative position between center mass significantly affect values multipliers, distribution pitching moment plays very important role
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ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2021
ISSN: ['0938-8974', '1432-1467']
DOI: https://doi.org/10.1007/s00332-021-09698-1