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首页> 外文期刊>Applied Physics >Free vibration of shallow and deep curved FG nanobeam via nonlocal Timoshenko curved beam model
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Free vibration of shallow and deep curved FG nanobeam via nonlocal Timoshenko curved beam model

机译：通过非局部Timoshenko弯曲梁模型对浅和深弯曲FG纳米束的自由振动

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摘要

A free vibration analysis of shallow and deep curved functionally graded (FG) nanobeam is presented. Differential equations and boundary conditions are obtained using Hamilton's principle, and then, nonlocal theory is employed to derive differential equations in small scale. Properties of the material are FG in radial direction. In order to investigate the effects of deep curved beam, extensional stiffness, bending-extension coupling stiffness, and bending stiffness are calculated in the deep case, analytically. By employing Navier method, an analytical solution is presented. Results are compared and validated with available studies, and a good agreement is seen. The influences of effective parameters such as geometrical deep term, nonlocal parameter, opening angle, aspect ratio, mode number, and gradient index are discussed in detail. It is found that the frequency of deep curved nanobeam is higher than that of shallow one, and the aspect ratio significantly affects this difference to decrease. Also, it is concluded that the opening angle, nonlocal parameter, and power gradient index can notably influence the amount of frequency.
机译：给出了浅弯曲和深弯曲功能梯度（FG）纳米束的自由振动分析。利用汉密尔顿原理获得微分方程和边界条件，然后采用非局部理论推导小规模的微分方程。材料的特性是径向上的FG。为了研究深弯曲梁的影响，通过分析来计算深部情况下的拉伸刚度，弯曲-延伸耦合刚度和弯曲刚度。通过采用Navier方法，提出了一种解析解。将结果与可用的研究进行比较和验证，可以看到很好的一致性。详细讨论了有效参数的影响，例如几何深项，非局部参数，张角，纵横比，模数和梯度指数。发现深弯曲的纳米光束的频率高于浅弯曲的纳米光束，并且纵横比显着影响该差异减小。此外，得出的结论是，张角，非局部参数和功率梯度指数会显着影响频率量。

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  • 来源
    《Applied Physics》 |2016年第3期|169.1-169.11|共11页
  • 作者

    S. A. H. Hosseini; O. Rahmani;

  • 作者单位

    Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran;

    Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
  • 原文格式 PDF
  • 正文语种 eng
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