THE INFLUENCE OF SMALL SCALE ON THE PULL-IN BEHAVIOR OF NONLOCAL NANOBRIDGES CONSIDERING SURFACE EFFECT, CASIMIR AND VAN DER WAALS ATTRACTIONS
THE INFLUENCE OF SMALL SCALE ON THE PULL-IN BEHAVIOR OF NONLOCAL NANOBRIDGES CONSIDERING SURFACE EFFECT, CASIMIR AND VAN DER WAALS ATTRACTIONS
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DOI：
10.1142/s1758825114500306
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发表时间：
2014-05
影响因子：
3.5
通讯作者：
H. M. Sedighi
中科院分区：
文献类型：
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作者：
H. M. Sedighi
本文研究了考虑表面效应和分子间作用力的非局域纳米桥的动态吸合不稳定性。通过一种渐近方法，即同伦摄动法（HPM），引入了二阶频率-振幅关系。研究了外加电压和分子间参数对吸合不稳定性和固有频率的影响。进一步考虑了非局部参数和表面能对动态吸合电压的影响。结果表明，两项级数展开足以产生上述纳米结构的可接受的解决方案。数值计算结果验证了分析方法的有效性。对系统动力学的定性分析表明，自治系统的平衡点包括具有周期轨道的中心点和具有同宿轨道的不稳定鞍点。
This paper is proposed to study the dynamic pull-in instability of nonlocal nanobridges incorporating the surface effect and intermolecular forces. The second-order frequency-amplitude relation is introduced via an asymptotic approach namely homotopy perturbation method (HPM). The effects of applied voltage and intermolecular parameters on pull-in instability as well as the natural frequency are investigated. Furthermore, the influence of nonlocal parameter and surface energy on the dynamic pull-in voltage is considered. It is shown that two terms in series expansions are sufficient to produce an acceptable solution of the mentioned nanostructure. The obtained results from numerical methods verify the strength of the analytical procedure. The qualitative analysis of the system dynamic shows that the equilibrium points of the autonomous system include center points with periodic trajectories and unstable saddle points with homoclinic orbits.