activity
20172026
most citedPort-Hamiltonian Modeling of Ideal Fluid Flow: Part I. Foundations and Kinetic Energy

30 citations · 134 across the 13 of their papers we have counts for

collaborators

13 papers

eess.SY2026

The Port-Hamiltonian Structure of Vehicle Manipulator Systems

Ramy Rashad

This paper presents a port-Hamiltonian formulation of vehicle-manipulator systems (VMS), a broad class of robotic systems including aerial manipulators, underwater manipulators, sp…

math.NA2025★ 1 cited

A domain decomposition strategy for natural imposition of mixed boundary conditions in port-Hamiltonian systems

S. D. M. de Jong, A. Brugnoli, R. Rashad +2

In this contribution, a finite element scheme to impose mixed boundary conditions without introducing Lagrange multipliers is presented for hyperbolic systems described as port-Ham…

math-ph2024

The port-Hamiltonian structure of continuum mechanics

Ramy Rashad, Stefano Stramigioli

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 fo…

math-ph2023★ 10 cited

Intrinsic nonlinear elasticity: An exterior calculus formulation

Ramy Rashad, Andrea Brugnoli, Federico Califano +2

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 kinemat…

math.NA2023

Finite element hybridization of port-Hamiltonian systems

Andrea Brugnoli, Ramy Rashad, Yi Zhang +1

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 p…

eess.SY2022

On the use of energy tanks for robotic systems

Federico Califano, Ramy Rashad, Cristian Secchi +1

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 h…

physics.flu-dyn2022★ 5 cited

A differential geometric description of thermodynamics in continuum mechanics with application to Fourier-Navier-Stokes fluids

Federico Califano, Ramy Rashad, Stefano Stramigioli

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…

math.NA2022★ 16 cited

Dual field structure-preserving discretization of port-Hamiltonian systems using finite element exterior calculus

Andrea Brugnoli, Ramy Rashad, Stefano Stramigioli

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 for…

math.AP2021★ 9 cited

Energetic decomposition of Distributed Systems with Moving Material Domains: the port-Hamiltonian model of Fluid-Structure Interaction

Federico Califano, Ramy Rashad, Frederic P. Schuller +1

We introduce the geometric structure underlying the port-Hamiltonian models for distributed parameter systems exhibiting moving material domains.

physics.flu-dyn2021★ 22 cited

Geometric and energy-aware decomposition of the Navier-Stokes equations: A port-Hamiltonian approach

Federico Califano, Ramy Rashad, Frederic P. Schuller +1

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 diffe…

physics.flu-dyn2020★ 27 cited

Port-Hamiltonian Modeling of Ideal Fluid Flow: Part II. Compressible and Incompressible Flow

Ramy Rashad, Federico Califano, Frederic P. Schuller +1

Part I of this paper presented a systematic derivation of the Stokes Dirac structure underlying the port-Hamiltonian model of ideal fluid flow on Riemannian manifolds. Starting fro…

math.DG2020★ 30 cited

Port-Hamiltonian Modeling of Ideal Fluid Flow: Part I. Foundations and Kinetic Energy

Ramy Rashad, Federico Califano, Frederic P. Schuller +1

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 struct…

math.OC2017★ 14 cited

Design, Modeling, and Geometric Control on SE(3) of a Fully-Actuated Hexarotor for Aerial Interaction

Ramy Rashad, Petra Kuipers, Johan Engelen +1

In this work we present the optimization-based design and control of a fully-actuated omnidirectional hexarotor. The tilt angles of the propellers are designed by maximizing the co…