Robophysical study of jumping dynamics on granular media
arXiv:1512.05762 · doi:10.1038/nphys3568
Abstract
Characterizing forces on deformable objects intruding into sand and soil requires understanding the solid and fluid-like responses of such substrates and their effect on the state of the object. The most detailed studies of intrusion in dry granular media have revealed that interactions of fixed-shape objects during free impact (e.g. cannonballs) and forced slow penetration can be described by hydrostatic and hydrodynamic-like forces. Here we investigate a new class of granular interactions: rapid intrusions by objects that change shape (self-deform) through passive and active means. Systematic studies of a simple spring-mass robot jumping on dry granular media reveal that jumping performance is explained by an interplay of nonlinear frictional and hydrodynamic drag as well as induced added mass (unaccounted by traditional intrusion models) characterized by a rapidly solidified region of grains accelerated by the foot. A model incorporating these dynamics reveals that added mass degrades the performance of certain self-deformations due to a shift in optimal timing during push-off. Our systematic robophysical experiment reveals both new soft matter physics and principles for robotic self-deformation and control, which together provide principles of movement in deformable terrestrial environments.
arXiv comment36 pages, 6 figures, 3 extended data figures, supplementary info include, captions to supplementary movies included
References in corpus (11)
- A Terradynamics of Legged Locomotion on Granular Media
- Undulatory Swimming in Sand: Subsurface Locomotion of the Sandfish Lizard
- Unified force law for granular impact cratering
- Granular impact and the critical packing state
- Deterministic photon-photon (SWAP)^{1/2} gate using a lambda system
- Studies of local jamming via penetration of a granular medium
- Drag force scaling for penetration into granular media
- Multi-functional foot use during running in the zebra-tailed lizard (Callisaurus draconoides)
- Granular Impact Model as an Energy-Depth Relation
- Transverse Electron Focusing in Systems with Spin-Orbit Coupling
- Lift-off dynamics in a simple jumping robot
Cited by in corpus (17)
- A review on locomotion robophysics: the study of movement at the intersection of robotics, soft matter and dynamical systems
- Collisional Model of Energy Dissipation in 3D Granular Impact
- Steady Flow Dynamics during Granular Impact
- Intrusion into granular media beyond the quasi-static regime
- The Soft Landing Problem: Minimizing Energy Loss by a Legged Robot Impacting Yielding Terrain
- Power law scaling of early-stage forces during granular impact
- Effect of two parallel intruders on net work during granular penetrations
- Impact cratering in sand: Comparing solid and liquid intruders
- Stagnant Zone Formation in a 2D Bed of Circular and Elongated Grains under Penetration
- Probing hydrodynamic fluctuation-induced forces with an oscillating robot
- Design and Control of a High-Performance Hopping Robot
- Swift progress for robots over complex terrain
- Sink versus tilt penetration into shaken dry granular matter: The role of the foundation
- Environmental force sensing helps robots traverse cluttered large obstacles using physical interaction
- A bio-inspired sand-rolling robot: effect of body shape on sand rolling performance
- A Dynamics and Stability Framework for Avian Jumping Take-off
- Modeling, simulation, and optimization of a monopod hopping on yielding terrain