Theory and Implementation of Coupled Port-Hamiltonian Continuum and Lumped Parameter Models

نویسندگان

چکیده

Abstract A continuous Galerkin finite element method that allows mixed boundary conditions without the need for Lagrange multipliers or user-defined parameters is developed. coupling of and Raviart-Thomas basis functions are used. The proven to have a Hamiltonian-conserving spatial discretisation symplectic time discretisation. energy residual therefore guaranteed be bounded general problems exactly conserved linear problems. 2D wave equation discretised modelled by making use port-Hamiltonian framework. This model verified against an analytic solution shown standard order convergence temporal error growth over grow linearly this method, which agrees with theoretical results. modal analysis performed verifies eigenvalues accurately converge exact eigenvalues, as mesh refined. framework bond-graph or, more generally, lumped parameter models, unifying two fields modelling continuum Hamiltonian systems. domain equivalent canonical forms. feature well causality interconnections other models. coupled, in monolithic manner, electromechanical actuator. combined also conserve exactly.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Network Modeling and Control of Physical Systems, DISC Theory of Port-Hamiltonian systems Chapter 1: Port-Hamiltonian formulation of network models; the lumped-parameter case

It is shown how port-based modeling of lumped-parameter complex physical systems (multi-body systems, electrical circuits, electromechanical systems, ..) naturally leads to a geometrically defined class of systems, called port-Hamiltonian systems. These are Hamiltonian systems defined with respect to a power-conserving geometric structure capturing the basic interconnection laws, and a Hamilton...

متن کامل

a contrastive analysis of concord and head parameter in english and azerbaijani

این پایان نامه به بررسی و مقایسه دو موضوع مطابقه میان فعل و فاعل (از نظر شخص و مشار) و هسته عبارت در دو زبان انگلیسی و آذربایجانی می پردازد. اول رابطه دستوری مطابقه مورد بررسی قرار می گیرد. مطابقه به این معناست که فعل مفرد به همراه فاعل مفرد و فعل جمع به همراه فاعل جمع می آید. در انگلیسی تمام افعال، بجز فعل بودن (to be) از نظر شمار با فاعلشان فقط در سوم شخص مفرد و در زمان حال مطابقت نشان میدهند...

15 صفحه اول

Port-Hamiltonian Systems Theory: An Introductory Overview Port-Hamiltonian Systems Theory: An Introductory Overview

An up-to-date survey of the theory of port-Hamiltonian systems is given, emphasizing novel developments and relationships with other formalisms. Port-Hamiltonian systems theory yields a systematic framework for network modeling of multi-physics systems. Examples from different areas show the range of applicability. While the emphasis is on modeling and analysis, the last part provides a brief i...

متن کامل

Some Applications of Screw Theory to Lumped-Parameter Modeling of Visco-Elastically Coupled Rigid Bodies

This work considers the problem of modeling visco-elastically coupled rigid bodies, with application to modeling and computer simulation of spatial, flexural mechanisms. Two modeling methods are presented, both of which use elements of screw theory and dual number calculus. The potential utility of the methods is demonstrated by simulating the behavior of a complex spatial, flexural mechanism. ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Elasticity

سال: 2021

ISSN: ['0374-3535', '1573-2681']

DOI: https://doi.org/10.1007/s10659-021-09846-4