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Vibration analysis of a rotating functionally graded tapered microbeam based on the modified couple stress theory by DQEM

机译：基于DQEM的改进偶应力理论的旋转功能梯度锥形微梁振动分析

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摘要

Due to having difficulty in solving governing nonlinear differential equations of a non-uniform microbeam, a few numbers of authors have studied such fields. In the present study, for the first time, the size-dependent vibration behavior of a rotating functionally graded (FG) tapered microbeam based on the modified couple stress theory is investigated using differential quadrature element method (DQEM). It is assumed that physical and mechanical properties of the FG microbeam are varying along the thickness that will be defined as a power law equation. The governing equations are determined using Hamilton's principle, and DQEM is presented to obtain the results for cantilever and propped cantilever boundary conditions. The accuracy and validity of the results are shown in several numerical examples. In order to display the influence of size on the first two natural frequencies and consequently changing of some important microbeam parameters such as material length scale, rate of cross section, angular velocity and gradient index of the FG material, several diagrams and tables are represented. The results of this article can be used in designing and optimizing elastic and rotary-type micro-electro-mechani-cal systems like micro-motors and micro-robots including rotating parts.
机译：由于难以解决控制非均匀微束的非线性微分方程的问题，因此许多作者研究了此类领域。在本研究中，首次使用微分正交元素法（DQEM）研究了基于改进耦合应力理论的旋转功能梯度（FG）锥形微束的尺寸相关振动行为。假设FG微束的物理和机械性能沿厚度变化，这将被定义为幂律方程。使用汉密尔顿原理确定控制方程，并提出DQEM以获得悬臂和支撑悬臂边界条件的结果。几个数值示例显示了结果的准确性和有效性。为了显示尺寸对前两个固有频率的影响，并因此改变一些重要的微束参数，例如材料长度比例，横截面速率，FG材料的角速度和梯度指数，请绘制一些图表和表格。本文的结果可用于设计和优化弹性和旋转式微机电系统，例如微电机和包括旋转部件的微型机器人。

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  • 来源
    《Applied Physics》 |2016年第9期|837.1-837.14|共14页
  • 作者

    Majid Ghadiri; Navvab Shafiei; S. Alireza Mousavi;

  • 作者单位

    Department of Mechanics, Faculty of Engineering, Imam Khomeini International University, Qazvin 3414916818, Iran;

    Department of Mechanics, Faculty of Engineering, Imam Khomeini International University, Qazvin 3414916818, Iran;

    Department of Mechanics, Faculty of Engineering, Imam Khomeini International University, Qazvin 3414916818, 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);
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  • 正文语种 eng
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