Nonlocal longitudinal vibration in a nanorod, a system theoretic analysis

Authors

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.

Citation

Journal: Mathematical Modelling of Natural Phenomena
Year: 2022
Volume: 17
Issue:
Pages: 24
Publisher: EDP Sciences
DOI: 10.1051/mmnp/2022028

BibTeX

@article{Heidari_2022,
  title={{Nonlocal longitudinal vibration in a nanorod, a system theoretic analysis}},
  volume={17},
  ISSN={1760-6101},
  DOI={10.1051/mmnp/2022028},
  journal={Mathematical Modelling of Natural Phenomena},
  publisher={EDP Sciences},
  author={Heidari, Hanif and Zwart, Hans},
  editor={Volpert, Vitaly},
  year={2022},
  pages={24}
}

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