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Related papers: Exergetic Port-Hamiltonian Systems for Multibody D…

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Fluid dynamics plays a crucial role in various multiphysics applications, including energy systems, electronics cooling, and biomedical engineering. Developing models for complex coupled systems can be challenging and time-consuming. In…

Computational Engineering, Finance, and Science · Computer Science 2024-12-09 Markus Lohmayer , Michael Kraus , Sigrid Leyendecker

A prevalent theme throughout science and engineering is the ongoing paradigm shift away from isolated systems towards open and interconnected systems. Port-Hamiltonian theory developed as a synthesis of geometric mechanics and network…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Markus Lohmayer , Sigrid Leyendecker

A new formulation for the modular construction of flexible multibody systems is presented. By rearranging the equations for a flexible floating body and introducing the appropriate canonical momenta, the model is recast into a coupled…

Classical Physics · Physics 2020-10-07 Andrea Brugnoli , Daniel Alazar , Valérie Pommier-Budinger , Denis Matignon

Mathematical modeling of real-world physical systems requires the consistent combination of a multitude of physical laws and phenomenological models. This challenging task can be greatly simplified by hierarchically decomposing systems into…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Markus Lohmayer , Owen Lynch , Sigrid Leyendecker

Port-Hamiltonian systems theory provides a structured approach to modelling, optimization and control of multiphysical systems. Yet, its relationship to thermodynamics seems to be unclear. The Hamiltonian is traditionally thought of as…

Classical Physics · Physics 2021-11-01 Markus Lohmayer , Paul Kotyczka , Sigrid Leyendecker

With this contribution, we give a complete and comprehensive framework for modeling the dynamics of complex mechanical structures as port-Hamiltonian systems. This is motivated by research on the potential of lightweight construction using…

Computational Physics · Physics 2020-08-19 Alexander Warsewa , Michael Böhm , Oliver Sawodny , Cristina Tarín

The port-Hamiltonian modelling framework allows for models that preserve essential physical properties such as energy conservation or dissipative inequalities. If all subsystems are modelled as port-Hamiltonian systems and the inputs are…

Numerical Analysis · Mathematics 2023-01-06 Andreas Bartel , Markus Clemens , Michael Günther , Birgit Jacob , Timo Reis

This work introduces a port-Hamiltonian (PH) model for constrained mechanical systems, which is directly derived from the Lagrangian equations of motion. The present PH framework incorporates a singularity-free director representation of…

Dynamical Systems · Mathematics 2026-03-16 Lisa Latussek , Philipp L. Kinon , Peter Betsch

We employ a port-Hamiltonian approach to model nonlinear rigid multibody systems subject to both position and velocity constraints. Our formulation accommodates Cartesian and redundant coordinates, respectively, and captures kinematic as…

Dynamical Systems · Mathematics 2025-04-25 Thomas Berger , René Hochdahl , Timo Reis , Robert Seifried

The port-Hamiltonian framework is a structure-preserving modeling approach that preserves key physical properties such as energy conservation and dissipation. When subsystems are modeled as port-Hamiltonian systems (pHS) with linearly…

Dynamical Systems · Mathematics 2025-11-26 Matthias Ehrhardt , Michael Günther , Daniel Ševčovič

This paper presents a port-Hamiltonian formulation of vehicle-manipulator systems (VMS), a broad class of robotic systems including aerial manipulators, underwater manipulators, space robots, and omnidirectional mobile manipulators. Unlike…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Ramy Rashad

This study introduces a novel approach for deriving the governing equations of the musculoskeletal system in the human body. The proposed formalism offers a framework to effectively incorporate the kinematic characteristics of biological…

Applied Physics · Physics 2023-07-26 Hossein Ehsani

Port-Hamiltonian (PH) systems provide a framework for modeling, analysis and control of complex dynamical systems, where the complexity might result from multi-physical couplings, non-trivial domains and diverse nonlinearities. A major…

Dynamical Systems · Mathematics 2024-03-15 Philipp L. Kinon , Tobias Thoma , Peter Betsch , Paul Kotyczka

Port-Hamiltonian systems (PHS) theory is a recent but already well-established modelling approach for non-linear physical systems. Some studies have shown lately that PHS frameworks are relevant for modelling and control of swarm and…

Physics and Society · Physics 2023-01-09 Antoine Tordeux , Claudia Totzeck

Hydrogen's growing role in the transition towards climate-neutral energy systems necessitates structured modeling frameworks. Existing gas network models, largely developed for natural gas, fail to capture hydrogen systems distinct…

Optimization and Control · Mathematics 2025-12-03 Abdullah Shahin , Hannes Gernandt , Anton Plietzsch , Johannes Schiffer

We consider the design of structure-preserving discretization methods for the solution of systems of boundary controlled Partial Differential Equations (PDEs) thanks to the port-Hamiltonian formalism. We first provide a novel general…

Numerical Analysis · Mathematics 2020-09-30 Andrea Brugnoli , Ghislain Haine , Anass Serhani , Xavier Vasseur

In this master's thesis, we rigorously develop two frameworks of relational composition of systems using tools from category theory. The first framework addresses port-Hamiltonian systems, which are dynamical systems whose dynamics are…

Category Theory · Mathematics 2023-10-11 Owen Lynch

Modeling the dynamics of flexible objects has become an emerging topic in the community as these objects become more present in many applications, e.g., soft robotics. Due to the properties of flexible materials, the movements of soft…

Machine Learning · Computer Science 2024-06-18 Kaiyuan Tan , Peilun Li , Thomas Beckers

Rigid bodies, plastic impact, persistent contact, Coulomb friction, and massless limbs are ubiquitous simplifications introduced to reduce the complexity of mechanics models despite the obvious physical inaccuracies that each incurs…

Robotics · Computer Science 2020-07-31 Aaron M. Johnson , Samuel A. Burden , Daniel E. Koditschek

A fluid-structure interaction model in a port-Hamiltonian representation is derived for a classical guitar. We combine the laws of continuum mechanics for solids and fluids within a unified port-Hamiltonian (pH) modeling approach by…

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