Passive-guaranteed modeling and simulation of a finite element nonlinear string model

被引：0

作者：

Roze, David ^{[1
]}

Raibaud, Mathis ^{[1
]}

Geoffroy, Thibault ^{[1
,2
]}

机构：

[1] IRCAM CNRS UMR 9912, Sci & Technol Mus & Son, 1 Pl Igor Stravinsky, F-75004 Paris, France

[2] Squarp SAS, 12 Rue Marceau, F-93100 Montreuil, France

来源：

IFAC PAPERSONLINE | 2024年 / 58卷 / 06期

关键词：

Distributed parameter systems; Numerical Methods; Hamiltonian dynamics; Port-Hamiltonian systems; Quadratization; Nonlinear string model; Finite elements method; DAMPED FREE-VIBRATION; HAMILTONIAN-FORMULATION; DISCRETIZATION; SYSTEMS; ENERGY;

D O I：

10.1016/j.ifacol.2024.08.285

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper proposes to solve the dynamics of the Kirchhoff-Carrier nonlinear string model using the finite elements method. In order to ensure the power balance of the resulting finite dimensional model it is rewritten in the Port-Hamiltonian System (PHS) formalism. Using a discrete gradient and a quadratization of the Hamiltonian, an explicit power-preserving numerical scheme is proposed. Results of simulation are presented. Copyright (C) 2024 The Authors.

引用

页码：226 / 231

页数：6

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