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首页> 外文期刊>Journal of nano research >A Novel Refined Plate Theory for Free Vibration Analyses of Single-Layered Graphene Sheets Lying on Winkler-Pasternak Elastic Foundations
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A Novel Refined Plate Theory for Free Vibration Analyses of Single-Layered Graphene Sheets Lying on Winkler-Pasternak Elastic Foundations

机译：一种新型精炼板理论，可用于铺设在Winkler-Pasternak弹性基础上的单层石墨烯片的自由振动分析

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摘要

In this article, the analyses of free vibration of nanoplates, such as single-layered graphene sheets (SLGS), lying on an elastic medium is evaluated and analyzed via a novel refined plate theory mathematical model including small-scale effects. The noteworthy feature of theory is that the displacement field is modelled with only four unknowns, which is even less than the other shear deformation theories. The present one has a new displacement field which introduces undetermined integral variables, the shear stress free condition on the top and bottom surfaces of the plate is respected and consequently, it is unnecessary to use shear correction factors. The theory involves four unknown variables, as against five in case of other higher order theories and first-order shear deformation theory. By using Hamilton's principle, the nonlocal governing equations are obtained and they are solved via Navier solution method. The influences played by transversal shear deformation, plate aspect ratio, side-to-thickness ratio, nonlocal parameter, and elastic foundation parameters are all examined. From this work, it can be observed that the small-scale effects and elastic foundation parameters are significant for the natural frequency.
机译：在本文中，通过包括小规模效应的新型精炼板理论，评估并分析了纳米板的自由振动，例如单层石墨烯片（SLG），如单层石墨烯片（SLG）。理论的值得注意的特征是，位移场仅具有四个未知数，甚至小于其他剪切变形理论。本发明的具有新的位移场，其引入未确定的整体变量，因此互连板的顶部和底表面上的剪切应力是不必要的，因此不必使用剪切校正因子。该理论涉及四个未知的变量，与其他更高阶阶理论和一阶剪切变形理论的一个未知变量。通过使用汉密尔顿的原理，获得非局部控制方程，通过Navier解决方案方法解决了它们。横向剪切变形，板纵横比，侧向厚度比，非本体参数和弹性基础参数所发挥的影响。从这项工作来看，可以观察到，小规模效应和弹性基础参数对于自然频率很大。

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  • 来源
    《Journal of nano research》 |2019年第2019期|151-164|共14页
  • 作者

    Boukhatem Fatima; Bessaim Aicha; Kaci Abdelhakim; Mouffoki Abderrahmane; Houari Mohammed Sid Ahmed; Tounsi Abdelouahed; Heireche Houari; Bousahla Abdelmoumen Anis;

  • 作者单位

    Univ Djillali Liabes Sidi Bel Abbes Dept Phys Fac Sci Exactes Lab Modelisat & Simulat Multiechelle Sidi Bel Abbes Algeria;

    Univ Mustapha Stambouli Mascara Dept Civil Engn Mascara Algeria|Univ Djillali Liabes Sidi Bel Abbes Fac Technol Civil Engn Dept Mat & Hydrol Lab Sidi Bel Abbes Algeria;

    Univ Djillali Liabes Sidi Bel Abbes Fac Technol Civil Engn Dept Mat & Hydrol Lab Sidi Bel Abbes Algeria|Univ Saida Dept Civil Engn & Hydraul Saida Algeria;

    Univ Djillali Liabes Sidi Bel Abbes Fac Technol Civil Engn Dept Mat & Hydrol Lab Sidi Bel Abbes Algeria;

    Univ Mustapha Stambouli Mascara Dept Civil Engn Mascara Algeria|Univ Djillali Liabes Sidi Bel Abbes Fac Technol Civil Engn Dept Mat & Hydrol Lab Sidi Bel Abbes Algeria|King Abdulaziz Univ Ctr Excellence Adv Mat Res Jeddah 21589 Saudi Arabia|King Fahd Univ Petr & Minerals Dept Civil & Environm Engn Dhahran 31261 Eastern Provinc Saudi Arabia;

    Univ Djillali Liabes Sidi Bel Abbes Fac Technol Civil Engn Dept Mat & Hydrol Lab Sidi Bel Abbes Algeria;

    Univ Djillali Liabes Sidi Bel Abbes Dept Phys Fac Sci Exactes Lab Modelisat & Simulat Multiechelle Sidi Bel Abbes Algeria;

    Univ Djillali Liabes Sidi Bel Abbes Dept Phys Fac Sci Exactes Lab Modelisat & Simulat Multiechelle Sidi Bel Abbes Algeria|Ctr Univ Ahmed Zabana Relizane Inst Sci & Technol Relizane Algeria;

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  • 正文语种 eng
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  • 关键词

    Vibration; nanoplates; nonlocal elasticity theory; novel shear deformation theory; Winkler-Pasternak elastic foundation;

    机译：振动;纳米板;非识别弹性理论;新颖的剪切变形理论;Winkler-Pasternak弹性基础;

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