Abstract In the present paper, the effects of material properties, nonlocal parameter, Lorentz and electric forces on maximum static deflections and natural frequencies of actuated hybrid carbon/boron-nitride nanotubes (CBNNT) subjected to thermal loads are studied for the first time. The displacement field of the nanotube satisfies assumptions of the Bernoulli–Euler beam theory. The Green-Lagrange small strains and moderate rotations for geometric nonlinearity of the nanotube are taken into consideration. Two nonlinear governing equations of motion for carbon and boron-nitride parts of the clamped nanotube are derived using the d'Alembert principle and the stress-driven nonlocal integral elasticity theory. Solution to the formulated nonlinear boundary value problem was obtained using the Galerkin modal expansion method. Validation of obtained results and parametric study are comprehensively presented. Obtained results show effect of variation of temperature, nonlocal parameter, ratio of length of carbon and boron-nitride components, direct current (DC) and alternating current (AC) voltages on shifting of the fundamental frequency and maximum deflection of hybrid nanotube.

中文翻译：

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基于应力驱动的非局部积分弹性的驱动混合纳米管的非线性振动和静态挠度问题

摘要 本文首次研究了材料特性、非局部参数、洛伦兹力和电力对受热载荷作用的致动混合碳/氮化硼纳米管（CBNNT）的最大静态挠度和固有频率的影响。纳米管的位移场满足伯努利-欧拉束理论的假设。考虑了纳米管几何非线性的格林-拉格朗日小应变和适度旋转。使用 d'Alembert 原理和应力驱动的非局域积分弹性理论，推导出了夹紧纳米管的碳和氮化硼部分的两个非线性运动控制方程。使用伽辽金模态展开方法获得公式化非线性边值问题的解。对获得的结果和参数研究进行了全面的验证。获得的结果显示了温度变化、非局部参数、碳和氮化硼组分的长度比、直流 (DC) 和交流 (AC) 电压对混合纳米管的基频偏移和最大偏转的影响。