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

被引:0
作者
Dongze He
Dongyan Shi
Qingshan Wang
Chunlong Ma
机构
[1] Harbin Engineering University,College of Mechanical and Electrical Engineering
[2] Central South University,State Key Laboratory of High Performance Complex Manufacturing
[3] Harbin Vocational and Technical College,Department of Automotive Engineering
来源
Journal of the Brazilian Society of Mechanical Sciences and Engineering | 2021年 / 43卷
关键词
Wave-based method; Eringen nonlocal theory; First-order shear deformation shell theory; Free vibration; Wave propagation; FGM cylindrical nanoshell;
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学科分类号
摘要
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.
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