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Free vibration of symmetric and sigmoid functionally graded nanobeams

机译:对称和S型功能梯度纳米束的自由振动

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摘要

The objective of this paper was the investigation of vibration characteristics of both nonlinear symmetric power and sigmoid functionally graded nonlocal nanobeams. The volume fractions of metal and ceramic are assumed to be distributed through a beam thickness by sigmoid law distribution and symmetric power function. Structures with symmetric distribution with mid-plane such as ceramic-metal-ceramic and metal-ceramic-metal are proposed. Nonlocal differentia] Eringen's elasticity is exploited to incorporate size dependency of nanobeam. The kinematic relations of Euler-Bernoulli beam are proposed, with the assumption of a small strain. A nonlocal equation of motion of nanobeam is derived by using principle of virtual work and then discretized by finite element method to obtain numerical solution. Numerical results show the effects of the function distribution, gradient index and nonlocal parameter on natural frequencies of macro- and nanobeam. This model is helpful in the mechanical design of nanoelectromechanical systems manufactured from FGM.
机译:本文的目的是研究非线性对称功率和S型功能梯度非局部纳米束的振动特性。通过S形定律分布和对称幂函数,假定金属和陶瓷的体积分数通过梁的厚度分布。提出了具有中平面对称分布的结构,如陶瓷金属陶瓷和金属陶瓷金属。利用非局部弹性Eringen的弹性来结合纳米束的尺寸依赖性。提出了欧拉-伯努利梁的运动学关系,并假设应变很小。利用虚功原理导出了纳米束的非局部运动方程,然后通过有限元方法离散化了纳米束的运动方程,得到了数值解。数值结果表明了函数分布,梯度指数和非局部参数对宏观和纳米束固有频率的影响。该模型有助于由FGM制造的纳米机电系统的机械设计。

著录项

  • 来源
    《Applied Physics》 |2016年第9期|829.1-829.11|共11页
  • 作者单位

    Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia;

    Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia,Mechanical Design and Production Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt;

    Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia,Mechanical Design and Production Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt;

    Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia;

  • 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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