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Finite element methods are used to study non-adhesive, frictionless contact between elastic solids with self-affine surfaces. We find that the total contact area rises linearly with load at small loads. The mean pressure in the contact…

Materials Science · Physics 2009-11-10 S. Hyun , L. Pei , J. -F. Molinari , M. O. Robbins

This paper presents the first kinematic modeling of tendon-driven rolling-contact joint mechanisms with general contact surfaces subject to external loads. We derived the kinematics as a set of recursive equations and developed efficient…

Robotics · Computer Science 2024-09-04 Junhyoung Ha , Chaewon Kim , Chunwoo Kim

Robots operating in domestic environments generally need to interact with articulated objects, such as doors, cabinets, dishwashers or fridges. In this work, we present a novel, probabilistic framework for modeling articulated objects as…

Robotics · Computer Science 2014-06-02 Jürgen Sturm , Cyrill Stachniss , Wolfram Burgard

Existing smart composite piezoelectric beam models in the literature mostly ignore the electro-magnetic interactions and adopt the linear elasticity theory. However, these interactions substantially change the controllability and…

Optimization and Control · Mathematics 2018-03-21 Ahmet Ozkan Ozer

The railway industry is searching for new ways to automate a number of complex train functions, such as object detection, track discrimination, and accurate train positioning, which require the artificial perception of the railway…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Gianluca D'Amico , Mauro Marinoni , Federico Nesti , Giulio Rossolini , Giorgio Buttazzo , Salvatore Sabina , Gianluigi Lauro

Vehicle-bridge interaction (VBI) is important for simulating bridge response under moving vehicular loads and supports applications such as dynamic amplification studies, weigh-in-motion, and indirect bridge monitoring. Although VBI theory…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Mohammad Talebi-Kalaleh , Qipei Mei

This paper presents a method for the optimization of multi-component structures comprised of two and three materials considering large motion sliding contact and separation along interfaces. The structural geometry is defined by an explicit…

Optimization and Control · Mathematics 2017-01-24 Matthew Lawry , Kurt Maute

To obtain fast solutions for governing physical equations in solid mechanics, we introduce a method that integrates the core ideas of the finite element method with physics-informed neural networks and concept of neural operators. This…

Wheeled bipedal robots have garnered increasing attention in exploration and inspection. However, most research simplifies calculations by ignoring leg dynamics, thereby restricting the robot's full motion potential. Additionally, robots…

Robotics · Computer Science 2025-11-11 Cong Wen , Yunfei Li , Kexin Liu , Yixin Qiu , Xuanhong Liao , Tianyu Wang , Dingchuan Liu , Tao Zhang , Ximin Lyu

The paper outlines some recent developments of the boundary element method (BEM) that makes it more user friendly and suitable for a realistic simulation in geomechanics, especially for underground excavations and tunnelling. The…

Numerical Analysis · Mathematics 2021-01-25 Gernot Beer , Christian Duenser , Vincenzo Mallardo

This work develops and analyzes a variational-monolithic unfitted finite element formulation of a linear fluid-structure interaction problem in Eulerian coordinates with a fixed interface. The overall discretization is based on a backward…

Numerical Analysis · Mathematics 2026-03-27 Stefan Frei , Tobias Knoke , Marc C. Steinbach , Anne-Kathrin Wenske , Thomas Wick

We present a robot learning and planning framework that produces an effective tool-use strategy with the least joint efforts, capable of handling objects different from training. Leveraging a Finite Element Method (FEM)-based simulator that…

Robotics · Computer Science 2022-07-04 Zeyu Zhang , Ziyuan Jiao , Weiqi Wang , Yixin Zhu , Song-Chun Zhu , Hangxin Liu

In this paper we present a finite element method (FEM) for two-phase incompressible flows with moving contact lines. We use a sharp interface Navier-Stokes model for the bulk phase fluid dynamics. Surface tension forces, including Marangoni…

Fluid Dynamics · Physics 2015-10-13 A. Reusken , X. Xu , L. Zhang

Cut finite element method (CutFEM) based approaches towards challenging fluid-structure interaction (FSI) are proposed. The different considered methods combine the advantages of competing novel Eulerian (fixed-grid) and established…

Computational Engineering, Finance, and Science · Computer Science 2018-07-31 Benedikt Schott , Christoph Ager , Wolfgang A. Wall

This paper deals with the modeling and mathematical analysis of vehicular traffic phenomena according to a kinetic theory approach, where the microscopic state of vehicles is described by: (i) position, (ii) velocity, as a continuous…

Analysis of PDEs · Mathematics 2021-03-26 J. Calvo , J. Nieto , M. Zagour

Elastic contact in hydrodynamic environments is a complex multiphysics phenomenon and can be found in applications ranging from engineering to biological systems. Understanding the intricacies of this coupled problem requires the…

Fluid Dynamics · Physics 2024-09-17 Biswajeet Rath , Xiaoyu Mao , Rajeev K. Jaiman

This paper proposes a real-time physically-based method for simulating vehicle deformation. Our system synthesizes vehicle deformation characteristics by considering a low-dimensional coupled vehicle body technique. We simulate the motion…

Robotics · Computer Science 2023-04-12 Ben Kenwright

A collision of a rubber rod to a hard floor is regarded as a simple example of obstacle problems for elastic material. In this article we have proposed a new mathematical model for the collision phenomenon by applying beam equations with…

Analysis of PDEs · Mathematics 2026-01-07 Toyohiko Aiki , Chiharu Kosugi

We introduce a framework for the design of finite element methods for two-dimensional moving boundary problems with prescribed boundary evolution that have arbitrarily high order of accuracy, both in space and in time. At the core of our…

Numerical Analysis · Mathematics 2015-06-19 Evan S. Gawlik , Adrian J. Lew

This paper presents a three dimensional collision avoidance approach for aerial vehicles inspired by coordinated behaviors in biological groups. The proposed strategy aims to enable a group of vehicles to converge to a common destination…

Dynamical Systems · Mathematics 2017-08-02 Céline Parzani , Francis Filbet
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