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Formulating a consistent theory for rigid-body dynamics with impacts is an intricate problem. Twenty years ago Stewart published the first consistent theory with purely inelastic impacts and an impulsive friction model analogous to Coulomb…

Computational Engineering, Finance, and Science · Computer Science 2017-10-16 Tobias Preclik , Sebastian Eibl , Ulrich Rüde

Verifying the correct behavior of robots in contact tasks is challenging due to model uncertainties associated with contacts. Standard methods for testing often fall short since all (uncountable many) solutions cannot be obtained. Instead,…

Robotics · Computer Science 2023-11-28 Chencheng Tang , Matthias Althoff

We present a differentiable formulation of rigid-body contact dynamics for objects and robots represented as compositions of convex primitives. Existing optimization-based approaches simulating contact between convex primitives rely on a…

Rigid-formation navigation of multiple robots is essential for applications such as cooperative transportation. This process involves a team of collaborative robots maintaining a predefined geometric configuration, such as a square, while…

Robotics · Computer Science 2025-10-13 Qun Yang , Soung Chang Liew

Previous humanoid robot research works treat the robot as a bipedal mobile manipulation platform, where only the feet and hands contact the environment. However, we humans use all body parts to interact with the world, e.g., we sit in…

Robotics · Computer Science 2025-02-04 Ziwen Zhuang , Hang Zhao

This study introduces a novel approach for deriving the governing equations of the musculoskeletal system in the human body. The proposed formalism offers a framework to effectively incorporate the kinematic characteristics of biological…

Applied Physics · Physics 2023-07-26 Hossein Ehsani

Reduced-order template models are widely used to control high degree-of-freedom legged robots, but existing methods for template-based whole-body control rely heavily on heuristics and often suffer from robustness issues. In this letter, we…

Robotics · Computer Science 2020-12-23 Vince Kurtz , Patrick M. Wensing , Hai Lin

Simulating stiff materials in applications where deformations are either not significant or can safely be ignored is a pivotal task across fields. Rigid body modeling has thus long remained a fundamental tool and is, by far, the most…

Graphics · Computer Science 2022-02-02 Lei Lan , Danny M. Kaufman , Minchen Li , Chenfanfu Jiang , Yin Yang

Reasoning about rolling and sliding contact, or roll-slide contact for short, is critical for dexterous manipulation tasks that involve intricate geometries. But existing works on roll-slide contact mostly focus on continuous shapes with…

Robotics · Computer Science 2025-08-19 Sunyu Wang , Arjun S. Lakshmipathy , Jean Oh , Nancy S. Pollard

Contact dynamics (CD) is a powerful method to solve the dynamics of large systems of colliding rigid bodies. CD can be computationally more efficient than classical penalty-based discrete element methods (DEM) for simulating contact between…

Classical Physics · Physics 2018-05-22 Tyler Olsen , Ken Kamrin

This paper presents a multi-contact motion adaptation framework that enables teleoperation of high degree-of-freedom (DoF) robots, such as quadrupeds and humanoids, for loco-manipulation tasks in multi-contact settings. Our proposed…

Robotics · Computer Science 2022-06-02 Quentin Rouxel , Kai Yuan , Ruoshi Wen , Zhibin Li

Robust closed-loop locomotion remains challenging for soft quadruped robots due to high-dimensional dynamics, actuator hysteresis, and difficult-to-model contact interactions, while conventional proprioception provides limited information…

Robotics · Computer Science 2026-02-16 Storm de Kam , Ebrahim Shahabi , Cosimo Della Santina

We introduce Midas, a robotics simulation framework based on the Incremental Potential Contact (IPC) model. Our simulator guarantees intersection-free, stable, and accurate resolution of frictional contact. We demonstrate the efficacy of…

Robotics · Computer Science 2022-10-04 Yunuo Chen , Minchen Li , Wenlong Lu , Chuyuan Fu , Chenfanfu Jiang

We investigate the dynamics of finite degree-of-freedom, planar mechanical systems with multiple sliding, unilateral frictional point contacts. A complete classification of systems with 2 sliding contacts is given. The contact-mode based…

Classical Physics · Physics 2017-05-24 Péter L. Várkonyi

Tactile feedback is critical for understanding the dynamics of both rigid and deformable objects in many manipulation tasks, such as non-prehensile manipulation and dense packing. We introduce an approach that combines visual and tactile…

Robotics · Computer Science 2024-07-02 Bo Ai , Stephen Tian , Haochen Shi , Yixuan Wang , Cheston Tan , Yunzhu Li , Jiajun Wu

This paper proposes a unified approach for dynamic modeling and simulations of general tensegrity structures with rigid bars and rigid bodies of arbitrary shapes. The natural coordinates are adopted as a non-minimal description in terms of…

Computational Engineering, Finance, and Science · Computer Science 2024-08-30 Jiahui Luo , Xiaoming Xu , Zhigang Wu , Shunan Wu

Contact-rich manipulation tasks in unstructured environments often require both haptic and visual feedback. It is non-trivial to manually design a robot controller that combines these modalities which have very different characteristics.…

Real-time tracking of previously unseen, highly dynamic objects in contact-rich scenes, such as during dexterous in-hand manipulation, remains a major challenge. Pure vision-based approaches often fail under heavy occlusions due to frequent…

Robotics · Computer Science 2026-03-19 Wen Yang , Zhixian Xie , Yiting Wang , Abhijit Tadepalli , Heni Ben Amor , Shan Lin , Wanxin Jin

We propose an efficient way of solving optimal control problems for rigid-body systems on the basis of inverse dynamics and the multiple-shooting method. We treat all variables, including the state, acceleration, and control input torques,…

Optimization and Control · Mathematics 2022-10-25 Sotaro Katayama , Toshiyuki Ohtsuka

A new approach for integration of motion in many-body systems of interacting polyatomic molecules is proposed. It is based on splitting time propagation of pseudo-variables in a modified phase space, while the real translational and…

Statistical Mechanics · Physics 2009-11-13 Igor P. Omelyan