A User-Friendly Formulation of the Newtonian Dynamics for the Coupled Wing-Body System in Insect Flight

  • Sheng XuEmail author
Conference paper
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 155)


We establish a user-friendly matrix formulation of the Newtonian dynamics for the free flight of an insect. In our formulation, we can easily change the number of insect wings, prescribe either the kinematics of each wing relative to the body or the torque on each wing exerted by the body, and allow for the dependence of fluid force and torque on acceleration. The implementation of the formulation is straightforward.

Primary 70E55, 76Z99

Key words

Matrix formulation Newtonian dynamics insect flight 


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    Sun M, Wang J, Xiong Y (2007) Dynamic flight stability of hovering insects. Acta Mech Sin 23:231–246MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.Department of MathematicsSouthern Methodist UniversityDallasUSA

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