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Free transverse vibrations analysis of size-dependent cracked piezoelectric nano-beam based on the strain gradient theory under mechanic-electro forces
Engineering Analysis With Boundary Elements ( IF 3.3 ) Pub Date : 2022-08-01 , DOI: 10.1016/j.enganabound.2022.07.006
Mohammadreza Eghbali, Seyed Amirhosein Hosseini, Mehdi Pourseifi

This paper investigates the free lateral vibration of a cracked nano-beam to piezoelectric effects on Euler-Bernoulli beam theory and nonlocal strain gradient theory (NSGT). So far, the propagation and growth of cracks in nano-beams have not been done by modeling the crack area using torsion springs using NSGT. This article investigates the free vibrations of cracked nano-beams using piezoelectric effects. The governing equations, related boundary conditions, and piezoelectric effects were derived using the Hamilton principle. Nano-beam separation is modeled by splitting nanoparticles into two parts connected to a rotating spring. The model calls the extra strain energy due to cracking and increases the discontinuity in the deflection slope. This study investigates the effects of crack propagation, crack intensity, piezoelectric effects, longitudinal scale parameter, and nonlocal parameter. A comparison of previous studies has been published in which a good agreement is observed. The results show that the mentioned parameters play an important role in dynamic behavior.



中文翻译:

机电作用下基于应变梯度理论的尺寸相关裂纹压电纳米梁的自由横向振动分析

本文研究了裂纹纳米梁的自由横向振动对欧拉-伯努利梁理论和非局部应变梯度理论(NSGT)的压电效应。到目前为止,尚未通过使用 NSGT 使用扭力弹簧对裂纹区域进行建模来完成纳米梁中裂纹的扩展和扩展。本文利用压电效应研究了破裂纳米梁的自由振动。控制方程、相关边界条件和压电效应是使用汉密尔顿原理推导出的。通过将纳米粒子分成连接到旋转弹簧的两部分来模拟纳米束分离。该模型称由于开裂而产生的额外应变能并增加了挠度斜率的不连续性。本研究调查了裂纹扩展、裂纹强度、压电效应、纵向尺度参数和非局部参数。先前研究的比较已发表,其中观察到了良好的一致性。结果表明,上述参数在动态行为中起着重要作用。

更新日期:2022-08-01
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