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We use high-speed x-ray imaging to reveal how a small (~10cm) desert dwelling lizard, the sandfish (Scincus scincus), swims within a granular medium [1]. On the surface, the lizard uses a standard diagonal gait, but once below the surface,…

Fluid Dynamics · Physics 2009-10-20 Ryan D. Maladen , Yang Ding , Adam Kamor , Daniel I. Goldman

Although typically possessing four limbs and short bodies, lizards have evolved a diversity of body plans, from short-bodied and fully-limbed to elongate and nearly limbless. Such diversity in body morphology is hypothesized as adaptations…

Biological Physics · Physics 2022-08-10 Baxi Chong , Tianyu Wang , Eva Erickson , Philip J Bergmann , Daniel I. Goldman

Undulatory locomotion is ubiquitous in nature and observed in different media, from the swimming of flagellated microorganisms in biological fluids, to the slithering of snakes on land, or the locomotion of sandfish lizards in sand. Despite…

Fluid Dynamics · Physics 2017-01-03 Zhiwei Peng , On Shun Pak , Gwynn J. Elfring

Legged locomotion on flowing ground ({\em e.g.} granular media) is unlike locomotion on hard ground because feet experience both solid- and fluid-like forces during surface penetration. Recent bio-inspired legged robots display speed…

Biological Physics · Physics 2021-05-20 Chen Li , Paul B. Umbanhowar , Haldun Komsuoglu , Daniel E. Koditschek , Daniel I. Goldman

A major challenge to understanding locomotion in complex 3-D terrain with large obstacles is to create tools for controlled, systematic lab experiments. Existing terrain arenas only allow observations at small spatiotemporal scales (~10…

Biological Physics · Physics 2021-12-16 Ratan Othayoth , Blake Strebel , Yuanfeng Han , Evains Francois , Chen Li

The gaits of undulating animals arise from a complex interaction of their central nervous system, muscle, connective tissue, bone, and environment. As a simplifying assumption, many previous studies have often assumed that sufficient…

Biological Physics · Physics 2023-05-31 Brian Van Stratum , Jonathan E. Clark , Kourosh Shoele

Compared to agile legged animals, wheeled and tracked vehicles often suffer large performance loss on granular surfaces like sand and gravel. Understanding the mechanics of legged locomotion on granular media can aid the development of…

Biological Physics · Physics 2019-11-04 Chen Li , Tingnan Zhang , Daniel I. Goldman

It is important to understand how bipedal walkers balance and walk effectively on granular materials, such as sand and loose dirt, etc. This paper first presents a computational approach to obtain the motion and energy analysis of bipedal…

Robotics · Computer Science 2023-10-02 Xunjie Chen , Jingang Yi , Hao Wang

Deformable substrates such as sand and mud present significant challenges for terrestrial robots due to complex robot-terrain interactions. Inspired by mudskippers, amphibious animals that naturally adjust their tail morphology and movement…

Robotics · Computer Science 2026-03-10 Shipeng Liu , Meghana Sagare , Shubham Patil , Feifei Qian

Mudskippers are unique amphibious fish capable of locomotion in diverse environments, including terrestrial surfaces, aquatic habitats, and highly viscous substrates such as mud. This versatile locomotion is largely enabled by their…

Robotics · Computer Science 2026-03-31 Shashwat Singh , Sheri Zhang , Spencer Matonis , Zeynep Temel

Terrestrial locomotion requires generating appropriate ground reaction forces which depend on substrate geometry and physical properties. The richness of positions and orientations of terrain features in the 3-D world gives limbless animals…

Biological Physics · Physics 2025-09-15 Qiyuan Fu , Henry C. Astely , Chen Li

Achieving effective locomotion on diverse terrestrial substrates can require subtle changes of limb kinematics. Biologically inspired legged robots (physical models of organisms) have shown impressive mobility on hard ground but suffer…

Biological Physics · Physics 2019-11-04 Chen Li , Paul B. Umbanhowar , Haldun Komsuoglu , Daniel I. Goldman

To traverse complex natural terrain, animals often transition between locomotor modes. It is well known that locomotor transitions can be induced by switching in neural control circuits or be driven by a need to minimize metabolic energetic…

Biological Physics · Physics 2025-09-29 Yaqing Wang , Ratan Othayoth , Chen Li

Humans excel at robust bipedal walking in complex natural environments. In each step, they adequately tune the interaction of biomechanical muscle dynamics and neuronal signals to be robust against uncertainties in ground conditions.…

Robotic locomotion research typically draws from biologically inspired leg designs, yet many human-engineered settings can benefit from non-anthropomorphic forms. TARS3D translates the block-shaped 'TARS' robot from Interstellar into a 0.25…

Robotics · Computer Science 2025-10-07 Aditya Sripada , Abhishek Warrier

Although recent years have seen significant progress of humanoid robots in walking and running, the frequent foot strikes with ground during these locomotion gaits inevitably generate high instantaneous impact forces, which leads to…

Robotics · Computer Science 2026-02-13 Junchi Gu , Feiyang Yuan , Weize Shi , Tianchen Huang , Haopeng Zhang , Xiaohu Zhang , Yu Wang , Wei Gao , Shiwu Zhang

Many snakes live in deserts, forests, and river valleys and traverse challenging 3-D terrain like rocks, felled trees, and rubble, with obstacles as large as themselves and variable surface properties. By contrast, apart from branch…

Biological Physics · Physics 2025-09-16 Sean W. Gart , Thomas W. Mitchel , Chen Li

Quadrupedal animals employ diverse galloping strategies to optimize speed, stability, and energy efficiency. However, the biomechanical mechanisms that enable adaptive gait transitions during high-speed locomotion under load remain poorly…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Jiayu Ding , Benjamin Seleb , Heather J. Huson , Saad Bhamla , Zhenyu Gan

Snakes can move through almost any terrain. Similarly, snake robots hold the promise as a versatile platform to traverse complex environments like earthquake rubble. Unlike snake locomotion on flat surfaces which is inherently stable, when…

Biological Physics · Physics 2025-09-22 Qiyuan Fu , Sean W. Gart , Thomas W. Mitchel , Jin Seob Kim , Gregory S. Chirikjian , Chen Li

The physical and bio-mechanical principles that govern undulatory movement on wet surfaces have important applications in physiology, physics, and engineering. The nematode {\it C. elegans}, with its highly stereotypical and functionally…

Fluid Dynamics · Physics 2015-06-03 Xiao N. Shen , J. Sznitman , P. Krajacic , T. Lamitina , P. E. Arratia
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