Natural frequency and damping behavior of three-layer cylindrical shells with a viscoelastic core layer and functionally graded face layers are studied in this article. Using functionally graded face layers can reduce the stress discontinuity in the face–core interface that causes a catastrophic failure in sandwich structures. The viscoelastic layer is expressed using a fractional-order model, and the functionally graded layers are defined by a power law function. Assuming the classical shell theory for functionally graded layers and the first-order shear deformation theory for the viscoelastic core, equations of motion are derived using Lagrange’s equation and then solved via Rayleigh–Ritz method. The obtained results are validated with those in the literature, and finally, the effects of some geometrical and material parameters such as length-to-radius ratio, functionally graded properties, radius and thickness of viscoelastic layer on the natural frequency, and loss factor of the system are considered, and some conclusions are drawn.

本文研究了具有粘弹性芯层和功能梯度面层的三层圆柱壳的固有频率和阻尼特性。使用功能渐变的面层可以减少面-芯界面的应力不连续性，从而导致夹心结构发生灾难性破坏。使用分数阶模型表示粘弹性层，并且通过幂律函数定义功能渐变层。假设功能梯度层的经典壳理论和粘弹性核心的一阶剪切变形理论，使用拉格朗日方程推导运动方程，然后通过瑞利-里兹方法求解。得到的结果与文献中的结果进行验证，最后，