非局部弹性周期纳米板振动特性研究

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (12) : 24-30.

论文

非局部弹性周期纳米板振动特性研究

何东泽1，布英磊2，史冬岩1，王青山3

作者信息 +

A study on vibration characteristics of nonlocal elastic periodic nanoplates

HE Dongze1，BU Yinglei2，SHI Dongyan1，WANG Qingshan3

Author information +

文章历史 +

摘要

本文结合Eringen非局部本构关系与Mindlin理论，对非局部弹性周期纳米板振动特性分析进行研究。根据不同材料纳米板连接处的协调关系，结合波动法对非局部周期纳米板分析模型进行建立。为了验证所建立模型的正确性，采用文献结果以及有限元法进行对比，验证本文所建立分析模型的正确性和有效性。以此为基础，开展相应的参数化研究，探寻周期纳米板结构几何参数、周期数以及支撑条件的影响情况。结果表明，本文所建立的分析模型以及求解方法准确有效，不同参数对非局部周期纳米板的振动特性均存在一定的影响效果。

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.

导出引用

何东泽1，布英磊2，史冬岩1，王青山3. 非局部弹性周期纳米板振动特性研究[J]. 振动与冲击, 2022, 41(12): 24-30

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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