Feifei Qian

Principles of appendage design in robots and animals determining terradynamic performance on flowable ground.

Natural substrates like sand, soil, leaf litter and snow vary widely in penetration resistance. To search for principles of appendage design in robots and animals that permit high performance on such flowable ground, we developed a ground control technique by which the penetration resistance of a dry granular substrate could be widely and rapidly varied. The approach was embodied in a device consisting of an air fluidized bed trackway in which a gentle upward flow of air through the granular material resulted in a decreased penetration resistance. As the volumetric air flow, Q, increased to the fluidization transition, the penetration resistance decreased to zero. Using a bio-inspired hexapedal robot as a physical model, we systematically studied how locomotor performance (average forward speed, v(x)) varied with ground penetration resistance and robot leg frequency. Average robot speed decreased with increasing Q, and decreased more rapidly for increasing leg frequency, ω. A universal scaling model revealed that the leg penetration ratio (foot pressure relative to penetration force per unit area per depth and leg length) determined v(x) for all ground penetration resistances and robot leg frequencies. To extend our result to include continuous variation of locomotor foot pressure, we used a resistive force theory based terradynamic approach to perform numerical simulations. The terradynamic model successfully predicted locomotor performance for low resistance granular states. Despite variation in morphology and gait, the performance of running lizards, geckos and crabs on flowable ground was also influenced by the leg penetration ratio. In summary, appendage designs which reduce foot pressure can passively maintain minimal leg penetration ratio as the ground weakens, and consequently permits maintenance of effective locomotion over a range of terradynamically challenging surfaces.

Walking and running on yielding and fluidizing ground

Presented at Robotics: Science and Systems VIII, July 09-July 13, 2012, University of Sydney, Sydney, NSW, Australia.

Ground fluidization promotes rapid running of a lightweight robot

We study the locomotor mechanics of a small, lightweight robot (DynaRoACH, 10 cm, 25 g) which can move on a granular substrate of 3 mm diameter glass particles at speeds up to 5 body length/s, approaching the performance of certain desert-dwelling animals. To reveal how the robot achieves this performance, we used high-speed imaging to capture its kinematics, and developed a numerical multi-body simulation of the robot coupled to an experimentally validated simulation of the granular medium. Average speeds measured in experiment and simulation agreed well, and increased nonlinearly with stride frequency, reflecting a change in propulsion mode. At low frequencies, the robot used a quasi-static “rotary walking” mode, in which the substrate yielded as legs penetrated and then solidified once vertical force balance was achieved. At high frequencies the robot propelled itself using the speed-dependent fluid-like inertial response of the material. The simulation allows variation of parameters which are inconvenient to modify in experiment, and thus gives insight into how substrate and robot properties change performance. Our study reveals how lightweight animals can achieve high performance on granular substrates; such insights can advance the design and control of robots in deformable terrains.

AN AUTOMATED SYSTEM FOR SYSTEMATIC TESTING OF LOCOMOTION ON HETEROGENEOUS GRANULAR MEDIA

Particulate substrates like deserts or Martian terrain are often composed of collections of particles of different sizes and shapes. While much is known about how robots can effectively locomote on hard ground and increasingly on homogeneous granular ground, the principles of locomotion over heterogeneous granular substrates are relatively unexplored. In this study we test the locomotion performance of an open-loop controlled legged robot (Xplorerbot, 15 cm, 150 g) in a trackway filled with 3 mm diameter glass “fine grains”, with two parallel lines of eight 25.4 mm diameter large glass “boulders” embedded within. We also develop an experimentally validated Discrete Element Method (DEM) simulation. In experiment and simulation, we observe three distinct modes of robot leg-ground interaction which influence locomotion performance. To systematically investigate how robot leg frequency, particle size and boulder distribution affect the interaction modes and robot speed and stability, we develop an automated system which can vary the properties of the heterogeneous granular substrate, as well as record robot locomotion performance. The system allows collection of ~200 runs/day facilitating systematic parameter exploration and comparison to simulation.

The dynamics of legged locomotion in heterogeneous terrain: universality in scattering and sensitivity to initial conditions

Natural substrates are often composed of particulates of varying size, from fine sand to pebbles and boulders. Robot locomotion on such heterogeneous substrates is complicated in part due to large force and kinematic fluctuations introduced by heterogeneities. To systematically explore how heterogeneity affects locomotion, we study the movement of a hexapedal robot (15 cm, 150 g) in a trackway filled with ∼ 1 mm “sand”, with a larger convex “boulder” of various shape and roughness embedded within. We investigate how the presence of the boulder affects the robot’s trajectory. To do so we develop a fully-automated terrain creation system, the SCATTER (Systematic Creation of Arbitrary Terrain and Testing of Exploratory Robots), to control the initial conditions of the substrate, including sand compaction, boulder distribution, and substrate inclination. Analysis of the robot’s trajectory indicates that the interaction with a boulder can be modeled as a scatterer with attractive and repulsive features. Depending on the contact position on the boulder, the robot will be scattered to different directions after the interaction. The trajectory of an individual interaction depends sensitively on the initial conditions, but remarkably this dependence of scattering angle upon initial contact location is universal over a wide range of boulder properties. For a larger heterogeneous field with multiple “scatterers”, the trajectory of the robot can be estimated using a superposition of the scattering angles from each scatterer. This scattering superposition can be applied to a variety of complex terrains, including heterogeneities of different geometry, orientation, and texture. Our results can aid in development of both deterministic and statistical descriptions of robot locomotion, control and path planning in complex terrain.