Abstract This paper is concentrated on the non-local bending analysis of nanobeams and the improvement of the space-Fractional Euler-Bernoulli beam (s-FEBB) theory. A new kinematics is proposed for s-FEBB and a numerical algorithm is developed to enable the introduction of a variable length scale, arbitrary boundary conditions, and arbitrary transverse load conditions. The obtained results indicate that the scale effect depends on boundary conditions and the distribution of the length scale as well as the order of fractional continua. Moreover, the identification and validation based on silver nanobeam bending experimental tests confirmed the capability of the proposed fractional model to capture the measurements.

中文翻译：

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空间分数欧拉-伯努利梁模型 - 银纳米梁弯曲的理论与识别

摘要 本文重点研究纳米梁的非局部弯曲分析和空间分数欧拉-伯努利梁（s-FEBB）理论的改进。为 s-FEBB 提出了一种新的运动学，并开发了一种数值算法，以便引入可变长度尺度、任意边界条件和任意横向载荷条件。得到的结果表明，尺度效应取决于边界条件和长度尺度的分布以及分数连续体的阶数。此外，基于银纳米束弯曲实验测试的识别和验证证实了所提出的分数模型捕获测量值的能力。