Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Rashad, Ramy"'
Autor:
Rashad, Ramy, Stramigioli, Stefano
In this paper we present a novel approach to the geometric formulation of solid and fluid mechanics within the port-Hamiltonian framework, which extends the standard Hamiltonian formulation to non-conservative and open dynamical systems. Leveraging D
Externí odkaz:
http://arxiv.org/abs/2404.12078
In this paper we formulate the theory of nonlinear elasticity in a geometrically intrinsic manner using exterior calculus and bundle-valued differential forms. We represent kinematics variables, such as velocity and rate-of-strain, as intensive vecto
Externí odkaz:
http://arxiv.org/abs/2303.06082
In this contribution, we extend the hybridization framework for the Hodge Laplacian [Awanou et al., Hybridization and postprocessing in finite element exterior calculus, 2023 ] to port-Hamiltonian systems describing linear wave propagation phenomena.
Externí odkaz:
http://arxiv.org/abs/2302.06239
In this document we describe and discuss energy tanks, a control algorithm which has gained popularity inside the robotics and control community over the last years. This article has the threefold scope of i) introducing to the reader the topic in a
Externí odkaz:
http://arxiv.org/abs/2211.17033
Publikováno v:
Physics of Fluids, 2022
A description of thermodynamics for continuum mechanical systems is presented in the coordinate-free language of exterior calculus. First, a careful description of the mathematical tools that are needed to formulate the relevant conservation laws is
Externí odkaz:
http://arxiv.org/abs/2209.13216
In this paper we propose a novel approach to discretize linear port-Hamiltonian systems while preserving the underlying structure. We present a finite element exterior calculus formulation that is able to mimetically represent conservation laws and c
Externí odkaz:
http://arxiv.org/abs/2202.04390
We introduce the geometric structure underlying the port-Hamiltonian models for distributed parameter systems exhibiting moving material domains.
Externí odkaz:
http://arxiv.org/abs/2111.08439
Publikováno v:
In Mechatronics February 2024 97
Geometric and energy-aware decomposition of the Navier-Stokes equations: A port-Hamiltonian approach
A port-Hamiltonian model for compressible Newtonian fluid dynamics is presented in entirely coordinate-independent geometric fashion. This is achieved by use of tensor-valued differential forms that allow to describe describe the interconnection of t
Externí odkaz:
http://arxiv.org/abs/2103.02277
In this two-parts paper, we present a systematic procedure to extend the known Hamiltonian model of ideal inviscid fluid flow on Riemannian manifolds in terms of Lie-Poisson structures to a port-Hamiltonian model in terms of Stokes-Dirac structures.
Externí odkaz:
http://arxiv.org/abs/2012.01818