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Title

Free vibration and wave propagation of thick plates using the generalized nonlocal strain gradient theory

Year: 1396
COI: JR_TAVA-3-2_004
Language: EnglishView: 277
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Authors

Seyed Mohammad Hossein Goushegir - Faculty of Mechanical Engineering, Urmia University of Technology, Urmia, Iran
Shirko Faroughi - Faculty of Mechanical Engineering, Urmia University of Technology, Urmia, Iran

Abstract:

In this paper, a size-dependent first-order shear deformation plate model is formulated in the framework of the higher-order generalized nonlocal strain-gradient (GNSG) theory. This model employs two nonlocal parameters and a strain-gradient coefficient to capture the both higher-order nonlocal stress-gradient and straingradient effects in nanostructures. The presence of these different scale parameters renders a unified model, which is able to predict both increase and reduction of stiffness in nanoplates. The governing equations are developed for free vibration of first-order shear deformation plates using Ritz method. The dispersion relations for the GNSG plate model is also derived. Several numerical examplesare studied to show the efficiency, competence and accuracy of the proposed model. To ensure the applicability of the presented GNSGplate model, the results are compared with the experimental data available in the scientific literature. It is found that the effects ofscale parameters on the wave frequencies are significant at high wavenumbers and ratio of any pair of these parameters is the maincriterion for the correct study of size effects. The results show that the reduced nonlocal strain-gradient (RNSG) model and the GNSGmodel diverge in higher vibration modes

Keywords:

Free vibration , First-order shear deformation plate , Wave propagation , Higher-order nonlocal straingradient model , Ritz method , Wave

Paper COI Code

This Paper COI Code is JR_TAVA-3-2_004. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/763043/

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If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Goushegir, Seyed Mohammad Hossein and Faroughi, Shirko,1396,Free vibration and wave propagation of thick plates using the generalized nonlocal strain gradient theory,https://civilica.com/doc/763043

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Type of center: دانشگاه دولتی
Paper count: 1,382
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