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首页> 外文期刊>Journal of nano research >Free Vibration Analysis of a Spinning Smart Piezoelectrically Actuated Heterogeneous Nanoscale Shell with Nonlocal Strain Gradient Theory
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Free Vibration Analysis of a Spinning Smart Piezoelectrically Actuated Heterogeneous Nanoscale Shell with Nonlocal Strain Gradient Theory

机译：具有非识别应变梯度理论的旋转智能压电驱动的异质纳米晶体的自由振动分析

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摘要

In this paper, a numerical procedure is proposed for analyzing the effects of length scale parameter, external electric field, angular speed and nonlocal parameter on the free vibration of a functionally graded piezoelectric cylindrical nanoshell. Nonlocal strain gradient theory (NSGT) is employed to study Eringen's size-dependent effect and the length scale parameter. This new proposed method can be considered as a combination of Eringen's nonlocal model and classical strain gradient theory. The obtained results show that this model can be used reliably for small-scale systems. The effects of boundary conditions, applied voltage, nonlocal parameter, rotational speed and length scale parameter on natural frequencies are presented. Compared to other elasticity theories, NSGT achieves the highest natural frequency and critical rotational speed and also a wider stability region. Doubling and tripling the length scale increases the natural frequency by approximately 1.8 and 2.6 times, respectively; while doubling and tripling the nonlocal parameter value reduces the natural frequency by approximately 1.2 and 1.4 times, respectively. Therefore, the natural frequency is more sensitive to the length scale parameter than the nonlocal parameter. Finally, it was shown that the critical angular speed goes up by increasing the length scale parameter, applied voltage, or nonlocal parameter.
机译：在本文中，提出了一种用于分析长度参数，外部电场，角速度和非识别参数对功能梯度压电圆柱形纳米孔的自由振动的影响的数值过程。非局部应变梯度理论（NSGT）用于研究eringen的大小依赖效果和长度比例。这种新的提出方法可以被认为是eringen的非本体模型和经典应变梯度理论的组合。所得结果表明，该模型可用于小规模系统可靠使用。提出了边界条件，施加电压，非本地参数，转速和长度比例对自然频率的影响。与其他弹性理论相比，NSGT实现了最高的固有频率和临界转速以及更广泛的稳定区域。将长度尺度加倍和三倍，分别将自然频率提高约1.8％和2.6倍;同时将非函数参数加倍和三倍，分别将自然频率降低约1.2和1.4次。因此，自然频率比非本地参数更敏感。最后，显示通过增加长度尺度参数，施加的电压或非函数参数来增加临界角速度。

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