Abstract

In this study, a dynamic model of a sandwich beam with viscoelastic coating based on a fractional constitutive equation was developed. The fractional model is a generalized model of sandwich beams and can be modified into integer models. The wave propagation method was extended for vibration analysis of fractional sandwich beams. Further, the influence of fractional order and size parameters on the dynamic characteristics of the sandwich beam was investigated, and the steady-state frequency response of the laminated beam was calculated. The results can provide a theoretical basis for the size design of laminated beams with damping requirements.

中文翻译：

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分数本构方程描述的粘弹性涂层夹层梁的振动分析

摘要

在这项研究中，建立了基于分数本构方程的带有粘弹性涂层的夹层梁的动力学模型。分数模型是夹层梁的广义模型，可以修改为整数模型。波传播方法被扩展用于分数夹层梁的振动分析。进一步研究了分数阶和尺寸参数对夹层梁动态特性的影响，计算了叠层梁的稳态频率响应。研究结果可为有阻尼要求的叠层梁尺寸设计提供理论依据。