Haar wavelet method for vibration analysis of nanobeams

M. Kirs; M. Mikola; A. Haavajõe; E. Õunapuu; B. Shvartsman; J. Majak

Waves, Wavelets and Fractals (2016)

  • Volume: 2, Issue: 1
  • ISSN: 2449-5557

Abstract

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In the current study the Haar wavelet method is adopted for free vibration analysis of nanobeams. The size-dependent behavior of the nanobeams, occurring in nanostructures, is described by Eringen nonlocal elasticity model. The accuracy of the solution is explored. The obtained results are compared with ones computed by finite difference method. The numerical convergence rates determined are found to be in agreement with corresponding convergence theorems.

How to cite

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M. Kirs, et al. "Haar wavelet method for vibration analysis of nanobeams." Waves, Wavelets and Fractals 2.1 (2016): null. <http://eudml.org/doc/277086>.

@article{M2016,
abstract = {In the current study the Haar wavelet method is adopted for free vibration analysis of nanobeams. The size-dependent behavior of the nanobeams, occurring in nanostructures, is described by Eringen nonlocal elasticity model. The accuracy of the solution is explored. The obtained results are compared with ones computed by finite difference method. The numerical convergence rates determined are found to be in agreement with corresponding convergence theorems.},
author = {M. Kirs, M. Mikola, A. Haavajõe, E. Õunapuu, B. Shvartsman, J. Majak},
journal = {Waves, Wavelets and Fractals},
keywords = {Haar wavelet method; nonlocal elasticity; nanobeams; Richardson extrapolation},
language = {eng},
number = {1},
pages = {null},
title = {Haar wavelet method for vibration analysis of nanobeams},
url = {http://eudml.org/doc/277086},
volume = {2},
year = {2016},
}

TY - JOUR
AU - M. Kirs
AU - M. Mikola
AU - A. Haavajõe
AU - E. Õunapuu
AU - B. Shvartsman
AU - J. Majak
TI - Haar wavelet method for vibration analysis of nanobeams
JO - Waves, Wavelets and Fractals
PY - 2016
VL - 2
IS - 1
SP - null
AB - In the current study the Haar wavelet method is adopted for free vibration analysis of nanobeams. The size-dependent behavior of the nanobeams, occurring in nanostructures, is described by Eringen nonlocal elasticity model. The accuracy of the solution is explored. The obtained results are compared with ones computed by finite difference method. The numerical convergence rates determined are found to be in agreement with corresponding convergence theorems.
LA - eng
KW - Haar wavelet method; nonlocal elasticity; nanobeams; Richardson extrapolation
UR - http://eudml.org/doc/277086
ER -

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