Port-Hamiltonian modelling of nonlocal longitudinal vibrations in a viscoelastic nanorod

Hanif Heidari (Corresponding author), H. Zwart

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Uittreksel

Analysis of nonlocal axial vibration in a nanorod is a crucial subject in science and engineering because of its wide applications in nanoelectromechanical systems. The aim of this paper is to show how these vibrations can be modelled within the framework of port-Hamiltonian systems. It turns out that two port-Hamiltonian descriptions in physical variables are possible. The first one is in descriptor form, whereas the second one has a non-local Hamiltonian density. In addition, it is shown that under appropriate boundary conditions these models possess a unique solution which is non-increasing in the corresponding ‘energy’, i.e., the associated infinitesimal generator generates a contraction semigroup on a Hilbert space, whose norm is directly linked to the Hamiltonian.

Originele taal-2Engels
Pagina's (van-tot)447-462
Aantal pagina's16
TijdschriftMathematical and Computer Modelling of Dynamical Systems
Volume25
Nummer van het tijdschrift5
DOI's
StatusGepubliceerd - 3 sep 2019

Vingerafdruk

Hamiltonians
Nanorods
Vibration
Modeling
Contraction Semigroup
Infinitesimal Generator
NEMS
Unique Solution
Descriptors
Hamiltonian Systems
Hilbert spaces
Hilbert space
Engineering
Norm
Boundary conditions
Energy
Model

Citeer dit

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Port-Hamiltonian modelling of nonlocal longitudinal vibrations in a viscoelastic nanorod. / Heidari, Hanif (Corresponding author); Zwart, H.

In: Mathematical and Computer Modelling of Dynamical Systems, Vol. 25, Nr. 5, 03.09.2019, blz. 447-462.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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