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We present Jade, a differentiable physics engine for articulated rigid bodies. Jade models contacts as the Linear Complementarity Problem (LCP). Compared to existing differentiable simulations, Jade offers features including…

Robotics · Computer Science 2023-09-12 Gang Yang , Siyuan Luo , Lin Shao

Based on the convex force-motion polynomial model for quasi-static sliding, we derive the kinematic contact model to determine the contact modes and instantaneous object motion on a supporting surface given a position controlled…

Robotics · Computer Science 2017-05-31 Jiaji Zhou , J. Andrew Bagnell , Matthew T. Mason

We propose a novel and efficient lifting approach for the optimal control of rigid-body systems with contacts to improve the convergence properties of Newton-type methods. To relax the high nonlinearity, we consider the state, acceleration,…

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

In this work, we introduce a collision model specifically tailored for the simulation of inextensible textiles. The model considers friction, contacts, and inextensibility constraints all at the same time without any decoupling.…

Robotics · Computer Science 2023-03-28 Franco Coltraro , Jaume Amorós , Maria Alberich-Carramiñana , Carme Torras

Physics-based simulation is essential for developing and evaluating robot manipulation policies, particularly in scenarios involving deformable objects and complex contact interactions. However, existing simulators often struggle to balance…

In this paper we present a discrete model governing the deformation of a convex regular polygon subjected not to cross a given flat rigid surface, on which it initially lies in correspondence of one point only. First, we set up the model in…

Analysis of PDEs · Mathematics 2022-05-10 Paolo Piersanti , Kristen White , Bogdan Dragnea , Roger Temam

Understanding the contact dynamics of nonspherical particles beyond the microscale is crucial for accurately modeling colloidal and granular systems, where shape anisotropy dictates structural organization and transport properties. In this…

Soft Condensed Matter · Physics 2026-03-06 Haoyuan Shi , Christopher J. Mundy , Gregory K. Schenter , Jaehun Chun

The computational modeling of many engineering problems using the Finite Element method involves the modeling of two or more bodies that meet through an interface. The interface can be physical, as in multi-physics and contact problems, or…

Numerical Analysis · Computer Science 2009-09-30 G. Haikal

Our goal is to develop an efficient contact detection algorithm for large-scale GPU-based simulation of non-convex objects. Current GPU-based simulators such as IsaacGym and Brax must trade-off speed with fidelity, generality, or both when…

Robotics · Computer Science 2023-06-13 Dongwon Son , Beomjoon Kim

In various applications, such as virtual reality and gaming, simulating the deformation of soft tissues in the human body during interactions with external objects is essential. Traditionally, Finite Element Methods (FEM) have been employed…

Computer Vision and Pattern Recognition · Computer Science 2024-03-14 Anton Agafonov , Lihi Zelnik-Manor

Common methods for learning robot dynamics assume motion is continuous, causing unrealistic model predictions for systems undergoing discontinuous impact and stiction behavior. In this work, we resolve this conflict with a smooth, implicit…

Robotics · Computer Science 2020-11-03 Samuel Pfrommer , Mathew Halm , Michael Posa

This paper presents a contact-implicit model predictive control (MPC) framework for the real-time discovery of multi-contact motions, without predefined contact mode sequences or foothold positions. This approach utilizes the…

Robotics · Computer Science 2024-10-03 Gijeong Kim , Dongyun Kang , Joon-Ha Kim , Seungwoo Hong , Hae-Won Park

We propose a novel neural network approach, LARP (Learned Articulated Rigid body Physics), to model the dynamics of articulated human motion with contact. Our goal is to develop a faster and more convenient methodological alternative to…

Neural and Evolutionary Computing · Computer Science 2024-10-17 Mykhaylo Andriluka , Baruch Tabanpour , C. Daniel Freeman , Cristian Sminchisescu

This article presents computationally efficient algorithms for modeling two special cases of rigid contact---contact with only viscous friction and contact without slip---that have particularly useful applications in robotic locomotion and…

Robotics · Computer Science 2015-04-06 Evan Drumwright

Paradoxes in the impact dynamics of rigid bodies are known to arise in the presence of friction. We show here that, on specificc occasions, in the absence of friction, the conservation laws of classical mechanics are also incompatible with…

Classical Physics · Physics 2017-11-27 Peter Palffy-Muhoray , Epifanio G. Virga , Mark Wilkinson , Xiaoyu Zheng

Rigid bodies, plastic impact, persistent contact, Coulomb friction, and massless limbs are ubiquitous simplifications introduced to reduce the complexity of mechanics models despite the obvious physical inaccuracies that each incurs…

Robotics · Computer Science 2020-07-31 Aaron M. Johnson , Samuel A. Burden , Daniel E. Koditschek

We propose a novel fast and accurate simulation framework for contact-intensive tight-tolerance robotic assembly tasks. The key components of our framework are as follows: 1) data-driven contact point clustering with a certain…

Robotics · Computer Science 2022-03-01 Jaemin Yoon , Minji Lee , Dongwon Son , Dongjun Lee

We propose a novel multibody dynamics simulation framework that can efficiently deal with large-dimensionality and complementarity multi-contact conditions. Typical contact simulation approaches perform contact impulse-level fixed-point…

Robotics · Computer Science 2022-08-25 Jeongmin Lee , Minji Lee , Dongjun Lee

In a wide range of practical problems, such as forming operations and impact tests, assuming that one of the contacting bodies is rigid is an excellent approximation to the physical phenomenon. In this work, the well-established dual mortar…

Computational Engineering, Finance, and Science · Computer Science 2022-10-07 R. Pinto Carvalho , A. M. Couto Carneiro , F. M. Andrade Pires , A. Popp

Dynamic fragmentation simulations are essential for predicting material response at high strain rates, yet explicit dynamic simulations that combine an extrinsic cohesive-zone model (CZM) with penalty-based contact often exhibit severe…

Computational Physics · Physics 2025-11-19 Thibault Ghesquière-Diérickx , Jean-François Molinari , Guillaume Anciaux