Bending characteristics of a one-dimensional piezoelectric semiconductor curved beam

IF 2.2 3区 工程技术 Q2 MECHANICS Archive of Applied Mechanics Pub Date : 2024-07-04 DOI:10.1007/s00419-024-02641-2
Qiaoyun Zhang, Jiahao Xu, Bingbing Wang, Minghao Zhao, Chunsheng Lu
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Abstract

A one-dimensional beam model with a curved longitudinal axis is established for piezoelectric semiconductors (PSCs) based on the first-order shear deformation theory and a small perturbation assumption of electron concentration. The PSC curved beam model is studied with one fixed end and a transverse force under the other end, and the analytical solutions of shear displacement, flexure displacement, electric potential, and electron concentration perturbation are derived using the differential operator method. The solutions of electromechanical fields are verified by degrading a curved beam into a straight one. According to numerical results, the distributions of electromechanical fields and effects of transverse force, initial electron concentration, and curvature radius are discussed on electromechanical fields. It is shown that the transverse force and curvature radius have an obvious influence on both the electrical and mechanical fields of the curved PSC beam, whereas the initial electron concentration mainly affects electrical quantities.

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一维压电半导体弯曲梁的弯曲特性
基于一阶剪切变形理论和电子浓度小扰动假设,建立了压电半导体(PSC)纵轴弯曲的一维梁模型。研究了一端固定、另一端受横向力作用的 PSC 弯曲梁模型,并利用微分算子法求出了剪切位移、挠曲位移、电动势和电子浓度扰动的解析解。通过将弯曲梁退化为直线梁,验证了机电场的解。根据数值结果,讨论了机电场的分布以及横向力、初始电子浓度和曲率半径对机电场的影响。结果表明,横向力和曲率半径对弯曲 PSC 梁的电场和机械场都有明显影响,而初始电子浓度主要影响电场量。
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来源期刊
CiteScore
4.40
自引率
10.70%
发文量
234
审稿时长
4-8 weeks
期刊介绍: Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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