Abstract

This paper is presented to study the free vibration analysis and optimization of CNT/polymer/fiber laminated truncated conical panels. Each layer of the panel is composed of a polymeric matrix reinforced with oriented fibers along with uniformly distributed and randomly oriented agglomerated carbon nanotubes (CNTs). The panel is modeled based on the first-order shear deformation theory (FSDT) and the effective mechanical properties are estimated using the Eshelby–Mori–Tanaka approach, Hahn’s homogenization method, and the rule of mixture. The governing equations are derived utilizing Hamilton’s principle and are solved numerically via the differential quadrature method (DQM). An optimization problem is provided via particle swarm optimization (PSO) and the optimum orientations of the fibers and best values of weight fractions of the CNTs and fibers are found to increase the fundamental frequency and reduce the relative cost of such structure. It is concluded that the optimum design of the panel is strongly affected by the chirality of the CNTs and the boundary conditions.

摘要

本文旨在研究 CNT/聚合物/纤维层压截锥板的自由振动分析和优化。面板的每一层都由用定向纤维以及均匀分布和随机定向的团聚碳纳米管 (CNT) 增强的聚合物基体组成。该面板基于一阶剪切变形理论 (FSDT) 建模，并使用 Eshelby–Mori–Tanaka 方法、Hahn 均质化方法和混合规则估算有效机械性能。控制方程是利用哈密顿原理推导出来的，并通过微分求积法 (DQM) 进行数值求解。通过粒子群优化 (PSO) 提供优化问题，发现纤维的最佳取向以及 CNT 和纤维的重量分数的最佳值可提高基频并降低此类结构的相对成本。得出的结论是，CNT 的手性和边界条件对面板的优化设计有很大影响。