A study on the first natural frequency of rotating nanocomposite beams is addressed in this research. The beam has been reinforced with carbon nanotube. With the purpose of incorporating the shearability of the beam, the Reddy's third order shear deformation theory has been assigned. The motion equations are discretized in space employing the well-know Ritz-technique. For the sake of study on the first natural frequency, the nonlinear in time discretized equations of motion are linearized around the static deformation induced by the centrifugal force. The linearized discretized governing equations around the post-buckling state are exploited to find the first natural frequency after the buckling incidence. The outcomes reveal that although a stationary free-clamped(simply-clamped) beam and a stationary clamped-free(clamped-simply) beam treat similarly in the analyses, the associated rotating beams demonstrate a qualitative discrepancy. Moreover, the outcomes based upon the Reddy's third order shear deformation theory deviate from the results in regard of the Timoshenko beam theory approximately below the length to the height of the beam equal to 12 for CS FGX CNTRC beams. Nevertheless, for the FGO CNTRC beams the results in reference to the both mentioned theories approximately are consistent to each other.

本研究涉及对旋转纳米复合梁的第一固有频率的研究。梁已用碳纳米管加固。为了结合梁的剪切能力，Reddy 的三阶剪切变形理论已被指定。运动方程采用众所周知的 Ritz 技术在空间中离散化。为了研究第一固有频率，非线性时间离散运动方程围绕离心力引起的静态变形进行线性化。利用围绕后屈曲状态的线性化离散控制方程来找到屈曲发生后的第一个固有频率。结果表明，虽然固定自由夹紧（简单夹紧）梁和固定夹紧自由（简单夹紧）梁在分析中处理类似，但相关的旋转梁表现出定性差异。此外，基于Reddy 三阶剪切变形理论的结果与Timoshenko 梁理论的结果在CS FGX CNTRC 梁的长度到梁的高度约等于12 以下的范围内偏离。然而，对于 FGO CNTRC 光束，参考上述两种理论的结果彼此大致一致。对于 CS FGX CNTRC 梁，三阶剪切变形理论与 Timoshenko 梁理论的结果偏离大约在梁的长度到高度等于 12 以下。然而，对于 FGO CNTRC 光束，参考上述两种理论的结果彼此大致一致。对于 CS FGX CNTRC 梁，三阶剪切变形理论与 Timoshenko 梁理论的结果偏离大约在梁的长度到高度等于 12 以下。然而，对于 FGO CNTRC 光束，参考上述两种理论的结果彼此大致一致。