A hybrid dynamic model for bio-inspired soft robots — Application to a flapping-wing micro air vehicle

The paper deals with the dynamic modeling of bio-inspired robots with soft appendages such as flying insect-like or swimming fish-like robots. In order to model such soft systems, we propose to use the Mobile Multibody System framework introduced in [1], [2], [3]. In such a framework, the robot is considered as a tree-like structure of rigid bodies where the evolution of the position of the joints is governed by stress-strain laws or control torques. Based on the Newton-Euler formulation of these systems, we propose a new algorithm able to compute at each step of a time loop both the net and passive joint accelerations along with the control torques supplied by the motors. To illustrate, based on previous work [4], the proposed algorithm is applied to the simulation of the hovering flight of a soft flapping-wing insect-like robot (see the attached video).

[1]  C. Ellington,et al.  The mechanics of flight in the hawkmoth Manduca sexta. I. Kinematics of hovering and forward flight. , 1997, The Journal of experimental biology.

[2]  Robert J. Wood,et al.  The First Takeoff of a Biologically Inspired At-Scale Robotic Insect , 2008, IEEE Transactions on Robotics.

[3]  T L Hedrick,et al.  Flight control in the hawkmoth Manduca sexta: the inverse problem of hovering , 2006, Journal of Experimental Biology.

[4]  Frédéric Boyer,et al.  Improved Lighthill fish swimming model for bio-inspired robots: Modeling, computational aspects and experimental comparisons , 2014, Int. J. Robotics Res..

[5]  Kevin C. Galloway,et al.  First controlled vertical flight of a biologically inspired microrobot , 2011, Bioinspiration & biomimetics.

[6]  Jeffrey A. Walker,et al.  Rotational lift: something different or more of the same? , 2002, The Journal of experimental biology.

[7]  G. Lauder,et al.  Passive propulsion in vortex wakes , 2006, Journal of Fluid Mechanics.

[8]  J. Y. S. Luh,et al.  On-Line Computational Scheme for Mechanical Manipulators , 1980 .

[9]  M. Dickinson,et al.  Wing rotation and the aerodynamic basis of insect flight. , 1999, Science.

[10]  Frédéric Boyer,et al.  Recursive Inverse Dynamics of Mobile Multibody Systems With Joints and Wheels , 2011, IEEE Transactions on Robotics.

[11]  Frédéric Boyer,et al.  Dynamic Modeling and Simulation of a 3-D Serial Eel-Like Robot , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[12]  R. M. Alexander,et al.  Elastic mechanisms in animal movement , 1988 .

[13]  R. Featherstone The Calculation of Robot Dynamics Using Articulated-Body Inertias , 1983 .

[14]  T. Casey,et al.  Flight energetics of sphinx moths: power input during hovering flight. , 1976, The Journal of experimental biology.

[15]  Mathieu Porez,et al.  Note on the swimming of an elongated body in a non-uniform flow , 2013, Journal of Fluid Mechanics.

[16]  Frédéric Boyer,et al.  A hybrid dynamic model of an insect-like MAV with soft wings , 2012, 2012 IEEE International Conference on Robotics and Biomimetics (ROBIO).

[17]  Richard M. Murray,et al.  A Mathematical Introduction to Robotic Manipulation , 1994 .

[18]  H. J.,et al.  Hydrodynamics , 1924, Nature.