The aim of present paper is to improve the efficiency and increase the accuracy of models for carbon nanotubes (CNTs) reinforced nanocomposites by eliminating three theoretical assumptions: 1- The CNT's structure is pristine and has no defect, 2- The CNTs as reinforcements have uniformly distributed pattern in the nanocomposites, 3- The lack of curvature in the structure of CNTs as reinforcements. Experimental observations show different types of defects such as vacancy and stone–wales defects in produced CNTs. Therefore, the assumption of pristine CNTs is not accurate. On the other hand, it can be seen by different types of microscopes that CNTs have some aggregations in specific points in the nanocomposites when the synthesis process of nanocomposites is over. Images taken by microscopes also show that the CNTs reinforced nanocomposites do not have straight structure and they have curvatures. In this paper, first, it is decided to concentrate on CNTs despite their defects, and after that, it is focused on the agglomerations of CNTs, and in the last step, the waviness of CNTs is included in present model. For this purpose, a higher order integral plate theory is derived with considering the defected/aggregated/wavy CNTs and after that, vibration and wave propagation of nanocomposites are studied. It is noted that the size effect is also included here by adopting Eringen's nonlocal elasticity theory. To show the accuracy of present model, the results are calibrated with experimental results and are compared with theoretical models. After verifying present model, three main goals of this paper are examined. The first goal is comparing the results of nanocomposites for uniformly distributed and aggregated CNTs, and the second goal is making comparison between the results of nanocomposites for pristine and defected CNTs, and at the end, the behaviors of nanocomposites for wavy and straight CNTs are compared.

本论文的目的是通过消除三个理论假设来提高碳纳米管 (CNTs) 增强纳米复合材料模型的效率和准确性：1- CNT 的结构是原始的并且没有缺陷，2- 作为增强剂的 CNTs 具有均匀的纳米复合材料中的分布图案，3-作为增强材料的碳纳米管结构中缺乏曲率。实验观察表明，在生产的 CNT 中存在不同类型的缺陷，例如空位和斯通威尔斯缺陷。因此，原始碳纳米管的假设是不准确的。另一方面，通过不同类型的显微镜可以看到，当纳米复合材料的合成过程结束时，碳纳米管在纳米复合材料的特定点有一些聚集。显微镜拍摄的图像还表明，碳纳米管增强纳米复合材料不具有直线结构，它们具有曲率。在本文中，首先，尽管碳纳米管存在缺陷，但决定专注于碳纳米管，然后专注于碳纳米管的团聚，最后一步，将碳纳米管的波纹度包含在当前模型中。为此，在考虑缺陷/聚集/波状碳纳米管的情况下推导出了高阶积分板理论，然后研究了纳米复合材料的振动和波传播。需要注意的是，这里采用 Eringen 的非局部弹性理论也包含了尺寸效应。为了显示当前模型的准确性，将结果与实验结果进行校准并与理论模型进行比较。验证当前模型后，审查了本文的三个主要目标。第一个目标是比较均匀分布和聚集的 CNT 的纳米复合材料的结果，第二个目标是比较原始和有缺陷的 CNT 的纳米复合材料的结果，最后，比较纳米复合材料对波状和直状 CNT 的行为.