考虑到零初始条件下分子间作用力影响的功能分级静电驱动微梁的非线性振动

IF 1.5 4区 材料科学 Q4 MATERIALS SCIENCE, COMPOSITES
Dang Van Hieu
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引用次数: 0

摘要

在非局部应变梯度和欧拉-伯努利梁理论的框架内,考虑到分子间相互作用力,建立了静电致动功能分级(FG)微梁模型。除了固定基体和 FG 微梁之间施加直流电压产生的静电力外,还考虑了卡西米尔力和范德华力。利用汉密尔顿原理推导出了 FG 微梁的支配运动方程。利用 Galerkin 和等效线性化方法,得到了零初始条件下非线性振动问题的解析解。为了验证所获结果的准确性,将我们的解法与文献中公布的数值解法和解析解法进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Nonlinear Vibration of Functionally Graded Electrostatically Actuated Microbeams Considering the Influence of Intermolecular Forces with Zero Initial Conditions

Nonlinear Vibration of Functionally Graded Electrostatically Actuated Microbeams Considering the Influence of Intermolecular Forces with Zero Initial Conditions

Within the framework of the nonlocal strain gradient and the Euler–Bernoulli beam theories, a model of electrostatically actuated functionally graded (FG) microbeams is developed taking into account the intermolecular interaction forces in it. In addition to the electrostatic forces resulting from the applied DC voltage between a fixed substrate and the FG microbeam, the Casimir and van der Waals forces were also considered. The governing equation of motion of FG microbeams was derived by employing the Hamilton principle. Utilizing the Galerkin and the equivalent linearization methods, an analytical solution was obtained for the nonlinear vibration problem with zero initial conditions. To validate the accuracy of the results obtained, our solution was compared with the numerical and analytic solutions published in the literature.

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来源期刊
Mechanics of Composite Materials
Mechanics of Composite Materials 工程技术-材料科学:复合
CiteScore
2.90
自引率
17.60%
发文量
73
审稿时长
12 months
期刊介绍: Mechanics of Composite Materials is a peer-reviewed international journal that encourages publication of original experimental and theoretical research on the mechanical properties of composite materials and their constituents including, but not limited to: damage, failure, fatigue, and long-term strength; methods of optimum design of materials and structures; prediction of long-term properties and aging problems; nondestructive testing; mechanical aspects of technology; mechanics of nanocomposites; mechanics of biocomposites; composites in aerospace and wind-power engineering; composites in civil engineering and infrastructure and other composites applications.
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