A study on vibration characteristics of nonlocal elastic periodic nanoplates

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (12) : 24-30.

HE Dongze1，BU Yinglei2，SHI Dongyan1，WANG Qingshan3

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Abstract

In this paper, the vibration characteristics of nonlocal elastic periodic nanoplates are investigated by Eringen nonlocal nonlocal theory and Mindlin theory. According to the coordination relationship at the joint of different nanoplates, the analysis model of nonlocal periodic nanoplates was established by wave based method. To verify the correctness of the analysis model, the literature results and finite element method are adopted to verify the correctness of the analysis in this paper. On this basis, the corresponding parameterization research is carried out to explore the influence of geometric parameters, periodic numbers, and supporting conditions. The results show that the analytical model and solution method in this paper are accurate and effective, various parameters have certain effects on the vibration characteristics of nonlocal periodic nanoplates.

Key words

Nonlocal theory / Mindlin theory / periodic nanoplates / wave based method / vibration characteristics.

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HE Dongze1，BU Yinglei2，SHI Dongyan1，WANG Qingshan3. A study on vibration characteristics of nonlocal elastic periodic nanoplates[J]. Journal of Vibration and Shock, 2022, 41(12): 24-30

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