In the current investigation, the influences of waviness and agglomeration factor of nanofillers on wave dispersion of embedded nanocomposite beams reinforced with multi-walled carbon nanotubes (MWCNTs) is investigated for the first time. These beams are supported on Winkler–Pasternak elastic foundation. The effective mechanical properties of nanocomposite beam are estimated by employing a blend of a new form of Halpin–Tsai micromechanical model and rule of mixture. The kinematic and kinetic relations of nanocomposite beam are computed based upon refined higher-order shear deformation theory. Moreover, the governing equations are derived by utilizing the Hamiltonian approach. Afterward, an analytical method is used in order to solve the obtained governing equations. Effects of the wide range of variants such as volume fraction of MWCNTs, slenderness ratio, waviness factor, random orientation factor, agglomeration factor and elastic foundation coefficient on the variation of wave frequency and phase velocity have been illustrated comparatively. Furthermore, the results are thoroughly discussed to obtain the highlights of each figure.

在目前的研究中，首次研究了纳米填料的波度和团聚因子对多壁碳纳米管 (MWCNT) 增强的嵌入式纳米复合梁的波色散的影响。这些梁由 Winkler-Pasternak 弹性地基支撑。纳米复合材料梁的有效机械性能是通过采用新形式的 Halpin-Tsai 微观机械模型和混合规则的混合来估计的。基于精细的高阶剪切变形理论计算了纳米复合材料梁的运动学和动力学关系。此外，控制方程是利用哈密顿方法推导出来的。然后，使用解析方法来求解所获得的控制方程。各种变体的影响，例如 MWCNT 的体积分数，对比说明了长细比、波度因子、随机取向因子、团聚因子和弹性地基系数对波频和相速度变化的影响。此外，对结果进行了彻底的讨论，以获得每个数字的亮点。