Locomotion of an Elastic Snake Robot via Natural Dynamics
Tristan Ehlert, Arne Sachtler, Annika Schmidt, Davide Calzolari, Alin Albu-Sch\"affer

TL;DR
This paper explores how leveraging the nonlinear natural dynamics of elastic snake robots can lead to more efficient locomotion gaits, with simulations showing promising results especially when friction is considered.
Contribution
It introduces gait designs based on nonlinear normal modes and non-brake orbits, demonstrating their potential for improved energy efficiency over traditional methods.
Findings
Gaits based on switching between nonlinear normal modes do not improve efficiency.
Non-brake orbit gaits are energy-efficient in conservative systems.
Non-brake orbit gaits outperform baseline in simulations with friction.
Abstract
Nature suggests that exploiting the elasticities and natural dynamics of robotic systems could increase their locomotion efficiency. Prior work on elastic snake robots supports this hypothesis, but has not fully exploited the nonlinear dynamic behavior of the systems. Recent advances in eigenmanifold theory enable a better characterization of the natural dynamics in complex nonlinear systems. This letter investigates if and how the nonlinear natural dynamics of a kinematic elastic snake robot can be used to design efficient gaits. Two types of gaits based on natural dynamics are presented and compared to a state-of-the-art approach using dynamics simulations. The results reveal that a gait generated by switching between two nonlinear normal modes does not improve the locomotion efficiency of the robot. In contrast, gaits based on non-brake periodic trajectories (non-brake orbits) are…
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