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A framework for performing event-driven, adaptive time step simulations of systems of rigid bodies interacting under stepped or terraced potentials in which the potential energy is only allowed to have discrete values is outlined. The…

软凝聚态物质 · 物理学 2008-08-11 Ramses van Zon , Jeremy Schofield

This paper develops a comprehensive two-dimensional generalisation of the recently introduced Friction with Bristle Dynamics (FrBD) framework for rolling contact problems. The proposed formulation extends the one-dimensional FrBD model to…

应用物理 · 物理学 2026-05-05 Luigi Romano

We present a differentiable dynamics solver that is able to handle frictional contact for rigid and deformable objects within a unified framework. Through a principled mollification of normal and tangential contact forces, our method…

This work presents a concise theoretical and computational framework for the finite element formulation of frictional contact problems with arbitrarily large deformation and sliding. The aim of this work is to extend the contact theory…

计算工程、金融与科学 · 计算机科学 2019-04-03 Thang X. Duong , Roger A. Sauer

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…

动力系统 · 数学 2009-09-14 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

The nonlinear mechanics of a flexible elastic rod constrained at its edges by a pair of sliding sleeves is analyzed. The planar equilibrium configurations of this variable-length elastica are found to have shape defined only by the…

软凝聚态物质 · 物理学 2024-09-19 Alessandro Cazzolli , Francesco Dal Corso

A novel probabilistic approach for the design of mechanical structures with friction interfaces is proposed. The objective function is defined as the probability that a specified performance measure of the forced vibration response is…

计算工程、金融与科学 · 计算机科学 2021-01-01 Malte Krack , Sebastian Tatzko , Lars Panning-von Scheidt , Jörg Wallaschek

One of the most challenging and basic problems in elastic rod dynamics is a description of rods in contact that prevents any unphysical self-intersections. Most previous works addressed this issue through the introduction of short-range…

混沌动力学 · 物理学 2013-05-30 François Gay-Balmaz , Vakhtang Putkaradze

Contact involving soft materials often combines dry adhesion, sliding friction, and large deformations. At the local level, these three aspects are rarely captured simultaneously, but included in the theoretical models by Mergel et al.…

计算工程、金融与科学 · 计算机科学 2020-12-03 Janine C. Mergel , Julien Scheibert , Roger A. Sauer

Evaluating accessible conformational space is computationally expensive and thermal motions are partly neglected in computer models of molecular interactions. This produces error into the estimates of binding strength. We introduce a method…

定量方法 · 定量生物学 2016-12-13 Riku Hakulinen , Santeri Puranen

The linear-frictional contact model is the most commonly used contact mechanism for discrete element (DEM) simulations of granular materials. Linear springs with a frictional slider are used for modeling interactions in directions normal…

计算工程、金融与科学 · 计算机科学 2020-02-25 Matthew R. Kuhn , Kiichi Suzuki , Ali Daouadji

Numerically simulating deformations in thin elastic sheets is a challenging problem in computational mechanics due to destabilizing compressive stresses that result in wrinkling. Determining the location, structure, and evolution of…

材料科学 · 物理学 2014-11-26 Michael Taylor , Benny Davidovitch , Zhanlong Qiu , Katia Bertoldi

We extend the incremental potential contact (IPC) model for contacting elastodynamics to resolve systems composed of codimensional DOFs in arbitrary combination. This enables a unified, interpenetration-free, robust, and stable simulation…

图形学 · 计算机科学 2021-05-07 Minchen Li , Danny M. Kaufman , Chenfanfu Jiang

Recent advances in the simulation of frictionally contacting elastodynamics with the Incremental Potential Contact (IPC) model have enabled inversion and intersection-free simulation via the application of mollified barriers, filtered…

The elastic response is studied of a single flexible chain grafted on a rigid plane and an ensemble of non-interacting tethered chains. It is demonstrated that the entropic theory of rubber elasticity leads to conclusions that disagree with…

统计力学 · 物理学 2007-05-23 A. D. Drozdov

A general framework for performing event-driven simulations of systems with semi-flexible or rigid bodies interacting under impulsive torques and forces is outlined. Two different approaches are presented. In the first, the dynamics and…

We present an efficient spacetime optimization method to automatically generate animations for a general volumetric, elastically deformable body. Our approach can model the interactions between the body and the environment and automatically…

图形学 · 计算机科学 2017-09-11 Zherong Pan , Dinesh Manocha

We propose a novel algorithm to efficiently generate hidden structures to support arrangements of floating rigid objects. Our optimization finds a small set of rods and wires between objects and each other or a supporting surface (e.g.,…

图形学 · 计算机科学 2021-02-11 Sarah Kushner , Risa Ulinski , Karan Singh , David I. W. Levin , Alec Jacobson

Accurately modeling contact behaviors for real-world, near-rigid materials remains a grand challenge for existing rigid-body physics simulators. This paper introduces a data-augmented contact model that incorporates analytical solutions…

机器人学 · 计算机科学 2022-06-23 Yifeng Jiang , Jiazheng Sun , C. Karen Liu

Using dimensionally reduced models for the numerical simulation of thin objects is highly attractive as this reduces the computational work substantially. The case of narrow thin elastic bands is considered and a convergent finite element…

数值分析 · 数学 2019-11-20 Sören Bartels
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