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

本研究的目的是对旋转多混合纳米复合材料增强 (MHCR) 悬臂盘 (MHCRCD) 的频率特性进行理论研究。根据 Kelvin-Voight 模型，所呈现的结构被建模为被粘弹性地基覆盖的圆盘。此外，由于旋转，还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，还提出了 Halpin-Tsai 微观力学模型，用于对 MHCRCD 的有效 Young 模块进行建模。建立哈密顿原理以获得旋转MHCRCD的控制方程和各种边界条件。最后，采用广义微分求积法(GDQM)获得旋转粘弹性MHCRCD的特征值和特征向量。在目前的研究中，简单地和无夹紧（悬臂）边界条件应用于边缘$\theta =\pi /\mathrm{2个},$ $\theta =\mathrm{3个}\pi /\mathrm{2个}$和R = R _i，R = R ₀，分别。结果表明，碳纤维的角度、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 的频率和振幅行为具有显着影响。作为相关行业的应用结果，旋转 MHCRCD 的角速度的影响在半径比的较高值中更为显着。