Abstract

This article employs the novel shear strain theory for the first time to investigate the static bending and static buckling responses of nanobeams affected by the flexoelectric effect in a temperature environment. Consideration is given to the effect of applied voltage and rotation on the beam's fixed axis. The calculation formulas are based on the finite element method; the equilibrium equation is derived from Hamilton's principle, where charge polarization is considered via the strain gradient; and the voltage applied to the beam makes the electric field calculation expression significantly more complex than previously reported. This increases the realism of the research results. This study also investigated the effect of a series of rotational parameters, applied voltage, temperature, and boundary conditions on the nanobeams' mechanical response. The paper demonstrates through calculation results that the influence of the applied voltage increases the beam's load capacity. This parameter can be used to adjust the beam's bending response, which is the foundation of practical application.

中文翻译：

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温度环境下考虑挠电现象的纳米梁机械响应

摘要

本文首次采用新颖的剪切应变理论研究了纳米梁在温度环境下受挠电效应影响的静态弯曲和静态屈曲响应。考虑了施加电压和旋转对梁固定轴的影响。计算公式基于有限元法；平衡方程源自哈密顿原理，其中通过应变梯度考虑电荷极化；并且施加到梁上的电压使得电场计算表达式比之前报道的要复杂得多。这增加了研究结果的真实性。这项研究还研究了一系列旋转参数、施加电压、温度和边界条件对纳米梁机械响应的影响。论文通过计算结果表明，施加电压的影响增加了梁的负载能力。该参数可用于调节梁的弯曲响应，是实际应用的基础。