Free vibration characteristics and wave propagation analysis in nonlocal functionally graded cylindrical nanoshell using wave-based method

In this article, the free vibration characteristics and wave propagation analysis of functionally graded materials (FGM) cylindrical nanoshell is investigated by a semi-analytical method, wave-based method. The Eringen nonlocal theory and first-order shear deformation shell theory are adopted to est...

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Bibliographic Details
Published in:Journal of the Brazilian Society of Mechanical Sciences and Engineering 2021-06, Vol.43 (6), Article 292
Main Authors: He, Dongze, Shi, Dongyan, Wang, Qingshan, Ma, Chunlong
Format: Article
Language:English
Subjects:
Cylindrical waves
Engineering
Free vibration
Functionally gradient materials
Inertia
Mechanical Engineering
Parameters
Phase velocity
Propagation
Shear deformation
Shell theory
Technical Paper
Thickness
Vibration analysis
Wave dispersion
Wave propagation
Wavelengths
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Summary:In this article, the free vibration characteristics and wave propagation analysis of functionally graded materials (FGM) cylindrical nanoshell is investigated by a semi-analytical method, wave-based method. The Eringen nonlocal theory and first-order shear deformation shell theory are adopted to establish the model of present systems. First, the calculation accuracy is verified which are compared with the solutions by the presented method with the results in the reported pieces of literature. Then, the free vibration characteristics concerning the nonlocal parameter, thickness to radius ratios, and length to radius ratios are derived, some parameter study examples are established, and some conclusions are obtained. Furthermore, the wave propagation characteristics related to the longitudinal wavenumber and circumferential wave number are proposed. Especially, the wave dispersion relations of wave frequency and phase velocity concerning the influence of nonlocal parameter, power-law exponent, thickness to radius ratios, and wavenumber in various directions are highlighted. The numerical examples conducted that these parameters have an important and obvious influence on the wave propagation characteristic for the wave frequency and phase velocity of nonlocal FGM cylindrical nanoshells.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-021-03008-2