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
收藏
页码：226 / 231
页数：6
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