Composite materials allow the production of structures with desired and improved properties (such as high strength), while minimizing the undesirable outcomes (e.g., increased weight). This ability to tune the properties of materials and structures has put composite materials under the spotlight in many fields, ranging from medical, automotive, aerospace, marine, and civil engineering applications. With the wide range of uses composite materials find their place in, it is important for engineers and researchers to have a good understanding of the behaviors of composite materials, such as bending, buckling, or vibration. As such, in recent years, investigating the dynamical behavior of such structures has been a popular topic of study, as signified by the copious amounts of studies focusing on the linear/nonlinear free vibrational response of these composite/nanocomposite systems. This paper provides a comprehensive review of the available research on nonlinear and linear free vibrations of composite/nanocomposite shell-type structures. The research conducted employs a wide variety of different conditions, geometries, methods/models, and materials. As such, a vast number of unique studies exist, focusing on linear and nonlinear free vibrations of composite/nanocomposite shell-type systems. The goal of this review article is to provide an in-depth summary of the available literature on nonlinear and linear free vibrations of composite/nanocomposite shell-type structures, to elaborate on the methods and approaches used by researchers, to present the findings obtained by researchers regarding this topic so far, and to point out the gap of research with the intention to propel future works of research.

中文翻译：

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壳型复合结构的计算线性和非线性动力学分析研究进展


复合材料允许生产具有所需和改进性能（例如高强度）的结构，同时最大限度地减少不良结果（例如，增加重量）。这种调整材料和结构特性的能力使复合材料在许多领域受到关注，包括医疗、汽车、航空航天、船舶和土木工程应用。随着复合材料的广泛用途，工程师和研究人员必须充分了解复合材料的行为，例如弯曲、屈曲或振动。因此，近年来，研究此类结构的动力学行为一直是一个热门的研究课题，大量研究关注这些复合材料/纳米复合材料系统的线性/非线性自由振动响应就证明了这一点。本文全面回顾了关于复合材料/纳米复合材料壳型结构的非线性和线性自由振动的现有研究。所进行的研究采用了各种不同的条件、几何形状、方法/模型和材料。因此，存在大量独特的研究，专注于复合材料/纳米复合材料壳型系统的线性和非线性自由振动。本综述文章的目的是深入总结有关复合材料/纳米复合壳型结构的非线性和线性自由振动的现有文献，详细说明研究人员使用的方法和途径，介绍研究人员迄今为止就该主题获得的研究结果，并指出研究差距，以推动未来的研究工作。