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首页> 外文期刊>Mechanical systems and signal processing >On the local/nonlocal piezoelectric nanobeams: Vibration,buckling, and energy harvesting
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On the local/nonlocal piezoelectric nanobeams: Vibration,buckling, and energy harvesting

机译：在局部/非局部压电纳米束：振动，屈曲和能量收集

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Based on a paradox-free nonlocal theory-two-phase local/nonlocal elasticity-vibration, buckling, and energy harvesting of piezoelectric nanobeams are investigated for the first time. By the means of the differential form of two-phase elasticity and Hamilton's principle, governing equations and boundary conditions are obtained. The exact solution as well as a numerical solution, Generalized Differential Quadrature Method (GDQM), are presented to extract results. Also, for the sake of obtaining equations for the forced vibration and energy harvesting analysis, the Galerkin method is utilized to discretize the governing equation. Given the fact that the differential nonlocal elasticity is not able to apply the size dependency on uniform loads, for the first time, the size-dependent piezoelectric load is taken into account through the two-phase elasticity. Also, vibration and energy harvesting of a clamped free nanobeam - which is a really good case for harvesting energy and cannot be accurately studied by differential nonlocal - are investigated employing the two-phase elasticity. To validate the present formulation and solution procedures, several comparison studies are conducted. Comparison between the common differential nonlocal elasticity and two-phase theory reveals that differential nonlocal elasticity is incompetent to yield reliable results for studying the vibration and energy harvesting of piezoelectric-based materials. Therefore, to study the mechanics of piezoelectric nano structures, other nonlocal theories such as two-phase local/nonlocal elasticity should be used. This paper can be a useful basis to investigate the vibration, buckling, and energy harvesting of nano piezoelectric devices and to improve their design.
机译：基于无矛盾的非局部理论 - 第一次研究了压电纳米束的两相局部/非局部弹性 - 振动，屈曲和能量收集。通过两相弹性和汉密尔顿原理的差异形式，获得了控制方程和边界条件。提出了精确的解决方案以及数值解决方案，广义差分正交方法（GDQM）以提取结果。而且，为了获得用于强制振动和能量收集分析的方程，利用Galerkin方法来离散控制方程。鉴于差分非局部弹性不能施加均匀载荷的尺寸依赖性，首次通过两相弹性考虑尺寸相关的压电负载。而且，夹紧的游离纳米射游的振动和能量采集 - 这是对收获能量的一个非常好的情况，并且不能通过差分非局部准确地研究采用双相弹性。为了验证目前的制剂和解决方案程序，进行了几种比较研究。常见的差分非局部弹性和两相理论之间的比较表明，差动非局部弹性是不称除的，以产生可靠的研究，用于研究压电基材料的振动和能量收集。因此，为了研究压电纳米结构的机制，应使用其他非本地/非局部弹性等非局部理论。本文可以是研究纳米压电装置的振动，屈曲和能量采伐和改善其设计的有用基础。

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