Nonlinear Approximate Analysis of Electrically Actuated Functionally Graded Material Micro-Beam with Influence of Thermal Stress and the Intermolecular Force
Nonlinear Approximate Analysis of Electrically Actuated Functionally Graded Material Micro-Beam with Influence of Thermal Stress and the Intermolecular Force
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热应力和分子间力影响下电驱动功能梯度材料微梁的非线性近似分析
DOI：
10.1166/jctn.2016.4831
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发表时间：
2016
影响因子：
--
通讯作者：
Yinlong Ma
中科院分区：
文献类型：
--
作者：
Youhong Sun;Yongping Yu;Yan Zhao;Nan Zhang;Yinlong Ma
研究了在热应力和分子间力作用下功能梯度材料（FGM）微梁的非线性静力行为。具体地，梁的微观尺寸，静电间隙，和材料的性质上的Pull-In电压的微梁的影响被确定。基于修正的偶应力理论，通过引入内部材料长度尺度参数，控制方程考虑了微梁的尺寸。结合势能公式和形函数的选择，建立了具有简洁表达式的解析近似解。可以进行溶液的稳定性分析。将近似结果与数值射击解进行比较，在FGM微梁中点大范围偏转的情况下观察到了良好的一致性。这些解析表达式可以很容易地用于推导各种物理参数对静电驱动微梁力学行为的影响。
This paper is focusing on the nonlinear static behavior of a functionally graded material (FGM) micro-beam with the influence of thermal stress and the intermolecular force. Specifically, the effect of the microscopic size of the beam, the electrostatic gap, and material property on the Pull-In voltage of the micro-beam is determined. Based on the modified couple stress theory, the governing equations account for the micro-beam size by introducing an internal material length-scale parameter. The combinations of the potential energy formulation and the choice of the form function are used to establish analytical approximate solutions which have brief expressions. Stability analyses of solution can be performed. Approximate results are compared with numerical shooting solutions and excellent agreements are observed for large range of midpoint deflection of FGM micro-beam. These analytical expressions can easily be used to derive the effects of various physical parameters on mechanical behavior of electrostatically actuated micro-beams.