At present, with the development in nanotechnology, nanostructures with temperature-dependent properties have been used in nano-electromechanical systems (NEMS). Thus, introducing an accurate mathematical model of nanobeams with temperature-dependent properties is a major and important topic for the design of NEMS. This paper aims to discuss nonlocal nanobeams analysis depending on the theories of Euler–Bernoulli and modified couple-stress (MCS). It also is assumed that the thermal conductivity of the nanobeam is dependent on the temperature. Physical fields of the nanobeam are obtained utilizing Laplace transform and state-space techniques. The effects of the size and nonlocal parameters, variability of thermal conductivity and couple stress on various distributions are presented graphically and studied in detail. Numerical results are presented as application scales and the design of nanoparticles, nanoscale oscillators, atomic force microscopes, and nanogenerators, in which nanoparticles as nanobeams act as essential and basic elements.

中文翻译：

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通过修正耦合应力理论使用状态空间方法对具有温度相关特性的纳米梁的响应

目前，随着纳米技术的发展，具有温度依赖性的纳米结构已被用于纳米机电系统（NEMS）。因此，引入具有温度相关特性的纳米束的精确数学模型是 NEMS 设计的主要和重要课题。本文旨在讨论基于欧拉-伯努利理论和修正偶应力 (MCS) 理论的非局部纳米束分析。还假设纳米束的热导率取决于温度。纳米束的物理场是利用拉普拉斯变换和状态空间技术获得的。尺寸和非局部参数、热导率的可变性和耦合应力对各种分布的影响以图形方式呈现并进行了详细研究。