Nonlocal longitudinal vibration in a nanorod, A system theoretic analysis

Hanif Heidari; Hans Zwart

doi:10.1051/mmnp/2022028

Nonlocal longitudinal vibration in a nanorod, A system theoretic analysis

Hanif Heidari^*, Hans Zwart

^*Corresponding author for this work

Mathematical Systems Theory

Research output: Contribution to journal › Article › Academic › peer-review

1 Citation (Scopus)

47 Downloads (Pure)

Abstract

Analysis of longitudinal vibration in a nanorod is an important subject in science and engineering due to its vast application in nanotechnology. This paper introduces a port-Hamiltonian formulation for the longitudinal vibrations in a nanorod, which shows that this model is essentially hyperbolic. Furthermore, it investigates the spectral properties of the associated system operator. Standard distributed control and feedback are shown not to be controllable nor stabilizing.

Original language	English
Article number	24
Number of pages	19
Journal	Mathematical modelling of natural phenomena
Volume	17
DOIs	https://doi.org/10.1051/mmnp/2022028
Publication status	Published - 1 Aug 2022

Keywords

Contraction semigroup
Controllability
Nanotubes
Port-Hamiltonian
Riesz basis
Stabilisability

Access to Document

10.1051/mmnp/2022028Licence: CC BY

ArticleFinal published version, 564 KBLicence: CC BY

Cite this

@article{d43c7fc2509d4bf291ca942ddf92337f,

title = "Nonlocal longitudinal vibration in a nanorod, A system theoretic analysis",

abstract = "Analysis of longitudinal vibration in a nanorod is an important subject in science and engineering due to its vast application in nanotechnology. This paper introduces a port-Hamiltonian formulation for the longitudinal vibrations in a nanorod, which shows that this model is essentially hyperbolic. Furthermore, it investigates the spectral properties of the associated system operator. Standard distributed control and feedback are shown not to be controllable nor stabilizing.",

keywords = "Contraction semigroup, Controllability, Nanotubes, Port-Hamiltonian, Riesz basis, Stabilisability",

author = "Hanif Heidari and Hans Zwart",

note = "Publisher Copyright: {\textcopyright} 2022 The authors. Published by EDP Sciences.",

year = "2022",

month = aug,

day = "1",

doi = "10.1051/mmnp/2022028",

language = "English",

volume = "17",

journal = "Mathematical modelling of natural phenomena",

issn = "0973-5348",

publisher = "EDP Sciences",

}

TY - JOUR

T1 - Nonlocal longitudinal vibration in a nanorod, A system theoretic analysis

AU - Heidari, Hanif

AU - Zwart, Hans

PY - 2022/8/1

Y1 - 2022/8/1

N2 - Analysis of longitudinal vibration in a nanorod is an important subject in science and engineering due to its vast application in nanotechnology. This paper introduces a port-Hamiltonian formulation for the longitudinal vibrations in a nanorod, which shows that this model is essentially hyperbolic. Furthermore, it investigates the spectral properties of the associated system operator. Standard distributed control and feedback are shown not to be controllable nor stabilizing.

AB - Analysis of longitudinal vibration in a nanorod is an important subject in science and engineering due to its vast application in nanotechnology. This paper introduces a port-Hamiltonian formulation for the longitudinal vibrations in a nanorod, which shows that this model is essentially hyperbolic. Furthermore, it investigates the spectral properties of the associated system operator. Standard distributed control and feedback are shown not to be controllable nor stabilizing.

KW - Contraction semigroup

KW - Controllability

KW - Nanotubes

KW - Port-Hamiltonian

KW - Riesz basis

KW - Stabilisability

UR - http://www.scopus.com/inward/record.url?scp=85135593307&partnerID=8YFLogxK

U2 - 10.1051/mmnp/2022028

DO - 10.1051/mmnp/2022028

M3 - Article

AN - SCOPUS:85135593307

SN - 0973-5348

VL - 17

JO - Mathematical modelling of natural phenomena

JF - Mathematical modelling of natural phenomena

M1 - 24

ER -

Nonlocal longitudinal vibration in a nanorod, A system theoretic analysis

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this