Abstract

This research's objective is a theoretical investigation into the frequency characteristics of the rotary multi-hybrid nanocomposite reinforced (MHCR) cantilever disk (MHCRCD). According to the Kelvin-Voight model, the presented structure is modeled as a disk covered by the viscoelastic foundation. Also, due to rotation, the centrifugal and Coriolis influences are investigated. For obtaining the effective Poisson ratio, and mass density, the role of mixture is employed. As well as this, the Halpin-Tsai micromechanics model is presented for modeling the effective Young module of the MHCRCD. Hamilton’s principle is established for obtaining the governing equations, and various boundary conditions of the rotary MHCRCD. Finally, the generalized differential quadrature method (GDQM) is employed to obtain eigenvalue and eigenvectors of the rotary viscoelastic MHCRCD. In the current research, simply-simply, and clamped-free (cantilever) boundary conditions are applied to edges $\theta =\pi /2,$ $\theta =3\pi /2$ and R = R_i , R = R₀ , respectively. The results demonstrate that fibers’ angle of carbon, carbon nanotubes’ volume fraction, angular velocity, and patterns of carbon nanotubes (CNTs) have a marvelous impact on the frequency and amplitude behavior of the rotary MHCRCD. As an applicable result in related industries, the influence of the angular velocity of the rotary MHCRCD is more impressive in the higher values of the radius ratio.

摘要

这项研究的目的是对旋转多杂化纳米复合材料增强（MHCR）悬臂盘（MHCRCD）的频率特性进行理论研究。根据开尔文-沃特（Kelvin-Voight）模型，提出的结构建模为粘弹性基础覆盖的圆盘。另外，由于旋转，研究了离心和科里奥利影响。为了获得有效的泊松比和质量密度，采用了混合物的作用。除此之外，还介绍了Halpin-Tsai微力学模型，用于对MHCRCD的有效Young模块进行建模。建立汉密尔顿原理以获得旋转MHCRCD的控制方程和各种边界条件。最后，利用广义微分求积法（GDQM）获得旋转粘弹性MHCRCD的特征值和特征向量。在当前的研究中，将简单，无约束（悬臂）边界条件应用于边$\theta =\pi /2，$ $\theta =3\pi /2$和R = R _i ，R = R ₀ 分别。结果表明，碳纤维的纤维角度，碳纳米管的体积分数，角速度和碳纳米管（CNT）的图案对旋转MHCRCD的频率和幅度行为产生了惊人的影响。作为在相关行业中的可应用结果，旋转MHCRCD的角速度的影响在较高的半径比值时更为显着。