ANN based optimization of nano-beam oscillations with intermolecular forces and geometric nonlinearity

IF 3.4 3区 工程技术 Q1 MECHANICS International Journal of Solids and Structures Pub Date : 2024-08-30 DOI:10.1016/j.ijsolstr.2024.113054
Naveed Ahmad Khan , Muhammad Sulaiman , Benzhou Lu
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Abstract

In this study, we investigate the effect of Van der Waals and Casimir forces on the mathematical model of nano-electromechanical systems (NEMS) such as nano-beam actuators that contain cantilever and double cantilever beams. The singular nonlinear boundary value problem governing the beam-type actuators, including geometric nonlinearity is solved by using an intelligent strength of feedforward artificial neural networks (ANNs) and hybridization of optimization algorithms such as arithmetic optimization algorithm (AOA) and active set algorithm (ASA). The proposed ANN-AOA-AS algorithm is employed to quantify the effect of changes in applied voltage, dispersion forces, geometric nonlinearity parameters, and initial axial strain on the deflection of the beam. Furthermore, to validate the results obtained by the proposed algorithm, statistical analyses are conducted to compare the approximate solutions with state-of-the-art methodologies available in the latest literature. In addition, performance indicators are defined such as mean square error (MSE), Nash–Sutcliffe efficiency (NSE), mean absolute deviations (MAD), root mean square error (RMSE), and Error in Nash–Sutcliffe efficiency (ENSE) to study the accuracy and efficiency of the solutions. The results show that these indicators’ mean percentage values lie around 104 to 106 which reflects the perfect modeling of the approximate solutions.

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基于 ANN 的分子间作用力和几何非线性纳米光束振荡优化技术
在本研究中,我们研究了范德华力和卡西米尔力对纳米机电系统(NEMS)数学模型的影响,例如包含悬臂梁和双悬臂梁的纳米梁式致动器。利用前馈人工神经网络(ANN)的智能优势以及算术优化算法(AOA)和主动集算法(ASA)等优化算法的混合,解决了支配梁型致动器(包括几何非线性)的奇异非线性边界值问题。所提出的 ANN-AOA-AS 算法用于量化外加电压、分散力、几何非线性参数和初始轴向应变的变化对梁挠度的影响。此外,为了验证拟议算法获得的结果,还进行了统计分析,将近似解与最新文献中的先进方法进行比较。此外,还定义了性能指标,如均方误差 (MSE)、纳什-苏克里夫效率 (NSE)、平均绝对偏差 (MAD)、均方根误差 (RMSE) 和纳什-苏克里夫效率误差 (ENSE),以研究求解的准确性和效率。结果表明,这些指标的平均百分比值在 10-4 至 10-6 之间,反映了近似解的完美建模。
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来源期刊
CiteScore
6.70
自引率
8.30%
发文量
405
审稿时长
70 days
期刊介绍: The International Journal of Solids and Structures has as its objective the publication and dissemination of original research in Mechanics of Solids and Structures as a field of Applied Science and Engineering. It fosters thus the exchange of ideas among workers in different parts of the world and also among workers who emphasize different aspects of the foundations and applications of the field. Standing as it does at the cross-roads of Materials Science, Life Sciences, Mathematics, Physics and Engineering Design, the Mechanics of Solids and Structures is experiencing considerable growth as a result of recent technological advances. The Journal, by providing an international medium of communication, is encouraging this growth and is encompassing all aspects of the field from the more classical problems of structural analysis to mechanics of solids continually interacting with other media and including fracture, flow, wave propagation, heat transfer, thermal effects in solids, optimum design methods, model analysis, structural topology and numerical techniques. Interest extends to both inorganic and organic solids and structures.
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