Modeling and Free Vibration Analysis of Dual-Functionally Graded Carbon Nanotube Reinforced Composite Stepped Cylindrical Shells with Arbitrary Boundary Conditions

IF 0.6 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2024-12-28 DOI:10.1134/S0025654424604282

Ziyi Wang, Yu Wang, Ziqiang Xu, Ying Zhang, Xuehui Li, Yue Gu

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Abstract

In this paper, considering the dual-functionally graded carbon nanotube reinforced composite (DFG-CNTRC) cylindrical shells with stepped variable thicknesses, the free vibration characteristics of the shell under arbitrary boundary conditions are investigated. To begin with, based on the improvement law of the mixtures, the effective material properties of DFG-CNTRC are obtained. Then, the artificial spring technique is used to simulate the continuous coupling between the shell segments and the boundary conditions at both ends of the shell. Further, based on the first-order shear deformation theory (FSDT), the dynamics equations of DFG-CNTRC stepped cylindrical shells are derived by the Rayleigh–Ritz method using Chebyshev polynomials as admissible functions. Therefore, the dynamic differential equation of the shell with arbitrary boundary conditions is solved. Finally, compared with the data from existing literature, the results indicate that the proposed method has excellent validity and reasonable convergence. Moreover, the effects of carbon nanotubes (CNTs) volume fraction, CNTs distribution types, matrix volume fraction, geometric parameters, and spring stiffness value on the vibration characteristics of DFG-CNTRC stepped cylindrical shells are assessed.

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任意边界条件下双功能梯度碳纳米管增强复合材料阶梯圆柱壳的建模与自由振动分析

本文研究了阶梯变厚度双功能梯度碳纳米管增强复合材料（DFG-CNTRC）圆柱壳在任意边界条件下的自由振动特性。首先，根据混合料的改进规律，得到了DFG-CNTRC的有效材料性能。然后，利用人工弹簧技术模拟壳段之间的连续耦合以及壳两端的边界条件。基于一阶剪切变形理论（FSDT），以Chebyshev多项式为容许函数，采用Rayleigh-Ritz方法推导了DFG-CNTRC阶梯圆柱壳的动力学方程。因此，求解了任意边界条件下壳的动力微分方程。最后，与已有文献数据进行对比，结果表明所提方法具有良好的有效性和合理的收敛性。此外，还评估了碳纳米管体积分数、碳纳米管分布类型、基体体积分数、几何参数和弹簧刚度值对DFG-CNTRC阶梯圆柱壳振动特性的影响。

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来源期刊

Mechanics of Solids 医学-力学

CiteScore

1.20

自引率

42.90%

发文量

112

审稿时长

6-12 weeks

期刊介绍： Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.