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This paper introduces a general Lie group framework for modeling continuum soft robots, employing Cosserat rod theory combined with cumulative parameterization on the Lie group SE(3). This novel approach addresses limitations present in…

Robotics · Computer Science 2026-03-10 Lingxiao Xun , Benoît Rosa , Jérôme Szewczyk , Brahim Tamadazte

Continuum robots suffer large deflections due to internal and external forces. Accurate modeling of their passive compliance is necessary for accurate environmental interaction, especially in scenarios where direct force sensing is not…

Robotics · Computer Science 2025-04-08 Andrew L. Orekhov , Garrison L. H. Johnston , Nabil Simaan

Continuum robots, known for their high flexibility and adaptability, offer immense potential for applications such as medical surgery, confined-space inspections, and wearable devices. However, their non-linear elastic nature and complex…

Robotics · Computer Science 2024-10-25 Po-Yu Hsieh , June-Hao Hou

Continuum robots are typically slender and flexible with infinite freedoms in theory, which poses a challenge for their control and application. The shape sensing of continuum robots is vital to realise accuracy control. This letter…

Robotics · Computer Science 2021-03-10 Hao Cheng , Hongji Shang , Bin Lan , Houde Liu , Xueqian Wang , Bin Liang

Accurate models of robot dynamics are critical for safe and stable control and generalization to novel operational conditions. Hand-designed models, however, may be insufficiently accurate, even after careful parameter tuning. This…

Robotics · Computer Science 2024-06-13 Thai Duong , Abdullah Altawaitan , Jason Stanley , Nikolay Atanasov

We present a novel general model that unifies the kinematics of constant curvature and constant twist continuum manipulators. Combining this kinematics with energy-based physics, we derive a linear mapping from actuator configuration to…

Robotics · Computer Science 2023-02-24 Bill Fan , Farhan Rozaidi , Capprin Bass , Gina Olson , Melinda Malley , Ross L Hatton

Three-dimensional shape sensing in soft and continuum robotics is a crucial aspect for stable actuation and control in fields such as Minimally Invasive surgery, as the estimation of complex curvatures while using continuum robotic tools is…

Signal Processing · Electrical Eng. & Systems 2024-03-26 Dalia Osman , Xinli Du , Timothy Minton , Yohan Noh

Soft continuum robots achieve complex deformation through elastic equilibrium, making their reachable motions governed jointly by structural design and actuation-induced mechanics. This work develops a general formulation that integrates…

Robotics · Computer Science 2025-12-01 Zhiwei Wu , Jiahao Luo , Siyi Wei , Jinhui Zhang

A high fidelity model is developed for an elastic string pendulum, one end of which is attached to a rigid body while the other end is attached to an inertially fixed reel mechanism which allows the unstretched length of the string to be…

Dynamical Systems · Mathematics 2009-09-14 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

This paper presents a learning-based approach for accurately estimating the 3D shape of flexible continuum robots subjected to external loads. The proposed method introduces a spatiotemporal neural network architecture that fuses…

Robotics · Computer Science 2025-10-28 Enyi Wang , Zhen Deng , Chuanchuan Pan , Bingwei He , Jianwei Zhang

Shape sensing of medical continuum robots is important both for closed-loop control as well as for enabling the clinician to visualize the robot inside the body. There is a need for inexpensive, but accurate shape sensing technologies. This…

Robotics · Computer Science 2024-10-22 Giovanni Pittiglio , Abdulhamit Donder , Pierre E. Dupont

After three decades of computational multibody system (MBS) dynamics, current research is centered at the development of compact and user friendly yet computationally efficient formulations for the analysis of complex MBS. The key to this…

Numerical Analysis · Mathematics 2023-07-03 Andreas Mueller

A Lie group is an old mathematical abstract object dating back to the XIX century, when mathematician Sophus Lie laid the foundations of the theory of continuous transformation groups. As it often happens, its usage has spread over diverse…

Robotics · Computer Science 2021-12-09 Joan Solà , Jeremie Deray , Dinesh Atchuthan

Contact detection for continuum and soft robots has been limited in past works to statics or kinematics-based methods with assumed circular bending curvature or known bending profiles. In this paper, we adapt the generalized momentum…

Robotics · Computer Science 2025-05-07 Garrison L. H. Johnston , Neel Shihora , Nabil Simaan

Reconstructing the shape of continuum manipulators from sparse, noisy sensor data is a challenging task, owing to the infinite-dimensional nature of such systems. Existing approaches broadly trade off between parametric methods that yield…

Robotics · Computer Science 2026-04-20 Lorenzo Ticozzi , Patricio A. Vela , Panagiotis Tsiotras

Tensegrity structures are becoming widely used in robotics, such as continuously bending soft manipulators and mobile robots to explore unknown and uneven environments dynamically. Estimating their shape, which is the foundation of their…

Robotics · Computer Science 2025-04-17 Tufail Ahmad Bhat , Yuhei Yoshimitsu , Kazuki Wada , Shuhei Ikemoto

Continuum and soft robots can leverage complex actuator shapes to take on useful shapes while actuating only a few of their many degrees of freedom. Continuum robots that also grow increase the range of potential shapes that can be actuated…

Continuum robots have the potential to enable new applications in medicine, inspection, and countless other areas due to their unique shape, compliance, and size. Excellent progess has been made in the mechanical design and dynamic…

Robotics · Computer Science 2025-10-23 Sven Lilge , Timothy D. Barfoot , Jessica Burgner-Kahrs

We present a rigorous framework for determining equilibrium configurations of uniformly rotating self-gravitating fluid bodies. This work addresses the longstanding challenge of modeling rotational deformation in celestial objects such as…

Classical Physics · Physics 2025-10-03 Sergei M. Kopeikin

Continuum robots with variable compliance have gained significant attention due to their adaptability in unstructured environments. Among various stiffness modulation techniques, layer jamming (LJ) provides a simple yet effective approach…

Robotics · Computer Science 2025-06-10 Yeman Fan , Bowen Yi , Dikai Liu
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