Abstract

In this article, as a first attempt, Fourier series expansion (FSE), particle swarm optimization (PSO), and genetic algorithm (GA) methods are coupled for analysis of the propagated waves in the sandwich nanoplate via finding optimum phase velocity value. The FSE method is used to solve the governing equations of the nanosystem. For increasing the performance of GAs for solving the problem, the PSO technique is added as an operator of the GA. Accuracy, convergence, and applicability of the proposed mixed approach are shown in the results section. Finally, it is shown that if designers consider the presented algorithm in their model, the results of phase velocity of the nanosystem will be increased by 30%. A useful suggestion is that the magnetic field’s effect on the phase velocity is greater than the electric field’s impact on the wave propagation of the magneto-electro-elastic (MEE) nanosystem. As the related industry’s relevant result, the optimum value of angle play of layers is equal to 37.5 degrees that should be attention to this value.

摘要

在本文中，作为第一次尝试，傅里叶级数展开 (FSE)、粒子群优化 (PSO) 和遗传算法 (GA) 方法相结合，通过寻找最佳相速度值来分析夹层纳米板中的传播波。FSE 方法用于求解纳米系统的控制方程。为了提高 GA 解决问题的性能，添加了 PSO 技术作为 GA 的运算符。结果部分显示了所提出的混合方法的准确性、收敛性和适用性。最后表明，如果设计人员在他们的模型中考虑所提出的算法，纳米系统的相速度结果将增加 30%。一个有用的建议是磁场对相速度的影响大于电场对磁电弹性 (MEE) 纳米系统波传播的影响。根据相关行业的相关结果，层间夹角最佳值为37.5度，应注意该值。