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We present a robust and efficient method for simulating Lagrangian solid-fluid coupling based on a new operator splitting strategy. We use variational formulations to approximate fluid properties and solid-fluid interactions, and introduce…

图形学 · 计算机科学 2023-01-06 Tianyi Xie , Minchen Li , Yin Yang , Chenfanfu Jiang

A new method is proposed for integrating the equations of motion of an elastic filament. In the standard finite-difference and finite-element formulations the continuum equations of motion are discretized in space and time, but it is then…

计算物理 · 物理学 2009-11-13 Anthony JC Ladd , Gaurav Misra

This paper proposes a finite element method that couples mixed and Lagrange finite elements to efficiently capture stress concentrations in elasticity problems. The method employs conforming mixed finite elements in regions with stress…

数值分析 · 数学 2026-04-21 Wei Chen , Jun Hu , Limin Ma , Mingyan Zhang

This paper presents a generalized energy-based modeling framework extending recent formulations tailored for differential-algebraic equations. The proposed structure, inspired by the port-Hamiltonian formalism, ensures passivity, preserves…

In this work, we review the framework of the Virtual Element Method (VEM) for a model in magneto-hydrodynamics (MHD), that incorporates a coupling between electromagnetics and fluid flow, and allows us to construct novel discretizations for…

Mechanical interactions between rigid rings and flexible cables find broad application in both daily life (hanging clothes) and engineering systems (closing a tether-net). A reduced-order method for the dynamic analysis of sliding rings on…

图形学 · 计算机科学 2024-05-21 Weicheng Huang , Peifei Xu , Zhaowei Liu

We construct a finite element approximation of a strain-limiting elastic model on a bounded open domain in $\mathbb{R}^d$, $d \in \{2,3\}$. The sequence of finite element approximations is shown to exhibit strong convergence to the unique…

数值分析 · 数学 2020-04-02 Andrea Bonito , Vivette Girault , Endre Süli

Piezoelectric actuators have been widely used to form a self-monitoring smart system to do Structural health monitoring (SHM). One of the most fundamental issues in using actuators is to determine the actuation effects being transferred…

计算物理 · 物理学 2016-11-09 Huangchao Yu , Xiaodong Wang

In this work we study the mass-spring system \begin{equation} \ddot x + \alpha \dot x + x = - \frac{\lambda} {(1+x)^{2}}, \label{e:inertia} \end{equation} which is a simplified model for an electrostatically actuated MEMS device. The static…

经典分析与常微分方程 · 数学 2016-03-08 Gilberto Flores

We consider a model problem of the scattering of linear acoustic waves in free homogeneous space by an elastic solid. The stress tensor in the solid combines the effect of a linear dependence of strains with the influence of an existing…

数值分析 · 数学 2018-04-23 Thomas S. Brown , Tonatiuh Sánchez-Vizuet , Francisco-Javier Sayas

We present the mathematical theory and its numerical validation of a method tailored to include eddy-current effects only in a part of the domain. This results in a heterogeneous problem combining an eddy-current model in a subset of the…

数值分析 · 数学 2024-05-07 Martina Busetto , Christoph Winkelmann

This paper presents the design of a nonlinear control law for a typical electromagnetic actuator system. Electromagnetic actuators are widely implemented in industrial applications, and especially as linear positioning system. In this work,…

系统与控制 · 计算机科学 2018-10-02 Flavien Deschaux , Frédéric Gouaisbaut , Yassine Ariba

Extensive research papers of three-dimensional computational techniques are widely used for the investigation of human brain pathophysiology. Eddy current analyzing could provide an indication of conductivity change within a biological…

医学物理 · 物理学 2019-06-05 Wuliang Yin , Mingyang Lu , Jiawei Tang , Qian Zhao , Zhijie Zhang , Kai Li , Yan Han , Anthony Peyton

Aerial manipulators (AM) exhibit particularly challenging, non-linear dynamics; the UAV and the manipulator it is carrying form a tightly coupled dynamic system, mutually impacting each other. The mathematical model describing these…

机器人学 · 计算机科学 2022-10-11 Paul Kremer , Jose Luis Sanchez-Lopez , Holger Voos

The evolution of a Taylor-Green forced magnetohydrodynamic (MHD) system showing dynamo activity is analyzed via direct numerical simulations. The statistical properties of the velocity and magnetic field in Eulerian coordinates and along…

流体动力学 · 物理学 2015-06-17 Holger Homann , Yannick Ponty , Giorgio Krstulovic , Rainer Grauer

Relativistic hydrodynamics of an isentropic fluid in a gravitational field is considered as the particular example from the family of Lagrangian hydrodynamic-type systems which possess an infinite set of integrals of motion due to the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Victor P. Ruban

A general approach to simulate the mechanical behavior of textile materials by taking into account all their constitutive elementary fibers and contacts between them is presented in this paper. A finite element code, based on an implicit…

材料科学 · 物理学 2009-12-08 Damien Durville

In the present study we investigate electrostatic stabilization mechanisms acting on stratified fluids. Electric fields have been shown to control and even suppress the Rayleigh-Taylor instability when a heavy fluid lies above lighter…

流体动力学 · 物理学 2013-10-15 Radu Cimpeanu , Demetrios T. Papageorgiou

The controlled actuation of hydraulic and pneumatic actuators has unveiled fresh and thrilling opportunities for designing mobile robots with adaptable structures. Previously reported rolling robots, which were powered by fluidic systems,…

机器人学 · 计算机科学 2024-09-30 Zebing Mao , Xuehang Bai , Yanhong Peng , Yayi Shen

In this paper a higher-order mixed finite element method for elastoplasticity with linear kinematic hardening is analyzed. Thereby, the non-differentiability of the involved plasticity functional is resolved by a Lagrange multiplier leading…

数值分析 · 数学 2024-01-18 Patrick Bammer , Lothar Banz , Andreas Schröder