Bipedal-Walking-Dynamics Model on Granular Terrains

πŸ“… 2026-04-13
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πŸ€– AI Summary
This study addresses the challenge of unstable locomotion and increased energy consumption in bipedal robots walking on granular media such as sand, where foot sinking and slipping significantly degrade performance. To overcome this, the work proposes a novel bipedal walking dynamics model that explicitly incorporates foot sinking and slipping as three additional degrees of freedom. Coupled with a dynamic foot–ground interaction module, the model enables real-time computation of ground reaction forces, thereby accurately capturing the kinematic and dynamic characteristics of locomotion on granular terrain. Experimental validation demonstrates that the model precisely predicts gait profiles, penetration depth, and ground reaction forces on sandy surfaces, offering a critical theoretical foundation for efficient motion control and energy optimization in legged locomotion over deformable substrates.

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πŸ“ Abstract
Bipeds have demonstrated high agility and mobility in unstructured environments such as sand. The yielding of such granular media brings significant sinkage and slip of the bipedal feet, leading to uncertainty and instability of walking locomotion. We present a new dynamics-modeling approach to capture and predict bipedal-walking locomotion on granular media. A dynamic foot-terrain interaction model is integrated to compute the ground reaction force (GRF). The proposed granular dynamic model has three additional degree-of-freedom (DoF) to estimate foot sinkage and slip that are critical to capturing robot-walking kinematics and kinetics such as cost of transport (CoT). Using the new model, we analyze bipedal kinetics, CoT, and foot-terrain rolling and intrusion affects. Experiments are conducted using a biped robotic walker on sand to validate the proposed dynamic model with robot-gait profiles, media-intrusion prediction, and GRF estimations. This new dynamics model can further serve as an enabling tool for locomotion control and optimization of bipedal robots to efficiently walk on granular terrains.
Problem

Research questions and friction points this paper is trying to address.

bipedal walking
granular terrains
foot sinkage
slip
locomotion instability
Innovation

Methods, ideas, or system contributions that make the work stand out.

bipedal walking
granular terrain
foot-terrain interaction
ground reaction force
sinkage and slip
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Xunjie Chen
Xunjie Chen
Mechanical and Aerospace Engineering, Rutgers University
Dynamic systems and controlRoboticsLocomotion on granular media
Xinyan Huang
Xinyan Huang
Rutgers University
P
Peter Shan
Bridgewater Raritan High School, Bridgewater, NJ 08807 USA
Jingang Yi
Jingang Yi
Professor, Department of Mechanical and Aerospace Engineering, Rutgers University
RoboticsAutomationMechatronicsDynamic systems and control
T
Tao Liu
State Key Lab of Fluid Power Transmission and Control and the School of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China