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Nonlocal Buckling Analysis of Composite Curved Beams Reinforced with Functionally Graded Carbon Nanotubes

机译:功能梯度碳纳米管增强复合弯梁的非局部屈曲分析

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摘要

This work deals with the size-dependent buckling response of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) (FG-CNTRC) curved beams based on a higher-order shear deformation beam theory in conjunction with the Eringen Nonlocal Differential Model (ENDM). The material properties were estimated using the rule of mixtures. The Hamiltonian principle was employed to derive the governing equations of the problem which were, in turn, solved via the Galerkin method to obtain the critical buckling load of FG-CNTRC curved beams with different boundary conditions. A detailed parametric study was carried out to investigate the influence of the nonlocal parameter, CNTs volume fraction, opening angle, slenderness ratio, and boundary conditions on the mechanical buckling characteristics of FG-CNTRC curved beams. A large parametric investigation was performed on the mechanical buckling behavior of FG-CNTRC curved beams, which included different CNT distribution schemes, as useful for design purposes in many practical engineering applications.
机译:这项工作基于高阶剪切变形梁理论并结合Eringen非局部差分模型(ENDM),对功能梯度碳纳米管增强复合材料(FG-CNTRC)(FG-CNTRC)弯曲梁的尺寸依赖性屈曲响应进行了研究)。使用混合物的规则估计材料性能。利用哈密顿原理推导该问题的控制方程,然后通过Galerkin方法求解该问题的控制方程,以获得具有不同边界条件的FG-CNTRC弯曲梁的临界屈曲载荷。进行了详细的参数研究,以研究非局部参数,CNT的体积分数,开口角,细长比和边界条件对FG-CNTRC弯曲梁的机械屈曲特性的影响。对FG-CNTRC弯曲梁的机械屈曲行为进行了大型参数研究,其中包括不同的CNT分配方案,可用于许多实际工程应用中的设计目的。

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