利用高阶理论对电热场中的压电板进行振动和扑动分析

Mohammad Javad Khoshgoftar
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引用次数: 0

摘要

在本研究中,我们研究了厚矩形板的振动和动态稳定性,该板的四个边缘由简单的夹具约束。该结构采用基于高阶剪切理论的非局部弹性建模,不仅考虑了沿厚度方向的剪切流,还考虑了剪切变形的不同分布。旋转惯性的加入也极大地影响了结果的准确性。利用线性活塞理论对板表面的空气动力流进行建模,该理论将空气动力流的传入载荷与板的横向变形联系起来。利用汉密尔顿原理得到了系统的支配方程,并使用加权残差法进行求解。通过与之前的研究进行比较,对结果进行了验证。研究了板的几何特性、不同理论的影响、热量、电压和非局部变量等各种参数对板的振动和扑动行为的影响。此外,研究还发现,施加负电压会产生牵引力,从而增加临界空气动力压力,而适当的热负荷可以避免空气动力负荷导致的不稳定性。通过施加电压和热量,可以提高扑动临界值并延缓扑动。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Vibration and flutter analysis of piezoelectric plates in an electrothermal field using higher order theories
In this study, we investigate the vibration and dynamic stability of a thick rectangular plate that is restrained on four edges by simple clamps. Nonlocal elasticity based on high‐order shear theories is used to model the structure, which takes into account not only shear flow along the thickness, but also different distributions of shear deformations. The inclusion of rotational inertia also significantly impacts the accuracy of the results. The aerodynamic flow on the plate surface is modeled using the linear piston theory, which relates the incoming load from the aerodynamic flow to the transversal deformation of the plate. By utilizing Hamilton's principle, the governing equations for the system are obtained and solved using the weighted residual method. The results are validated by comparing them to previous studies. The effects of various parameters, such as the plate's geometrical properties, the impact of different theories, heat, electric voltage, and nonlocal variables, on the vibration and flutter behavior of the plate are examined. Additionally, it is found that the application of negative voltage increases the critical aerodynamic pressure by creating a traction force, and that a suitable thermal load can avoid instability caused by aerodynamic load. By applying voltage and heat, it is possible to increase the flutter threshold and delay it.
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