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首页> 外文期刊>Engineering analysis with boundary elements >Nonlocal continuum model for vibration of single-layered graphene sheets based on the element-free kp-Ritz method
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Nonlocal continuum model for vibration of single-layered graphene sheets based on the element-free kp-Ritz method

机译：基于无元素kp-Ritz方法的单层石墨烯片非局部连续振动模型

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摘要

In this paper, an implementation of the kp-Ritz method with the nonlocal continuum model as an element-free computational framework has been performed to investigate the free vibration behavior of a single-layered graphene sheet (SLGS). The nonlocal continuum model, which combines the Eringen nonlocal constitutive equation with the classical plate theory, has the ability to take the small scale effect into account. The study has shown that the element-free kp-Ritz method is an efficient approach for solving nonlocal continuum model for the SLGS vibration. The accuracy of the kp-Ritz method has been validated through comparison with the MD computation. The values of nonlocal parameter used in the study have been derived by matching the frequency of nonlocal continuum model with that of the MD model for different sizes and boundary conditions. The simulated results have illustrated that the value of nonlocal parameter depends on the sizes and boundary conditions of SLGS.
机译：在本文中，以非局部连续体模型作为无元素计算框架的kp-Ritz方法的实现已被执行，以研究单层石墨烯片（SLGS）的自由振动行为。将Eringen非局部本构方程与经典板理论结合起来的非局部连续体模型具有考虑小尺度效应的能力。研究表明，无元素kp-Ritz方法是求解SLGS振动非局部连续模型的有效方法。通过与MD计算进行比较，已验证了kp-Ritz方法的准确性。通过将非局部连续体模型的频率与MD模型在不同大小和边界条件下的频率相匹配，得出了本研究中使用的非局部参数的值。仿真结果表明，非局部参数的取值取决于SLGS的大小和边界条件。

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  • 作者

    Yang Zhang; Z.X. Lei; L.W. Zhang; K.M. Liew; J.L. Yu;

  • 作者单位

    CAS Key Laboratory of Mechanical Behavior and Design of Materials, University of Science and Technology of China, China,Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong Special Administrative Region,City University of Hong Kong Shenzhen Research Institute Building, Shenzhen Hi-Tech Industrial Park, Nanshan District, Shenzhen, China;

    Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong Special Administrative Region,City University of Hong Kong Shenzhen Research Institute Building, Shenzhen Hi-Tech Industrial Park, Nanshan District, Shenzhen, China;

    College of Information Technology, Shanghai Ocean University, Shanghai 201306, China;

    Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong Special Administrative Region,City University of Hong Kong Shenzhen Research Institute Building, Shenzhen Hi-Tech Industrial Park, Nanshan District, Shenzhen, China;

    CAS Key Laboratory of Mechanical Behavior and Design of Materials, University of Science and Technology of China, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Element-free kp-Ritz method; Single-layered graphene sheet; Nonlocal elasticity theory; Free vibration analysis;

    机译：无元素kp-Ritz方法;单层石墨烯片;非局部弹性理论;自由振动分析;

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