Vibration performance of a sandwich beam with corrugated core in a broad frequency range using dynamic equivalent method

IF 5 1区工程技术 Q1 ENGINEERING, AEROSPACE Aerospace Science and Technology Pub Date : 2024-08-08 DOI:10.1016/j.ast.2024.109469

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Abstract

The corrugated sandwich structure has been widely used in the field of engineering due to its excellent static and dynamic performance. However, current research on its vibration behavior mainly focuses on low-frequency regimes, limiting its applicability in extreme environments. To address this deficiency, a theoretical model based on the dynamic equivalent method (DEM) is developed to study the vibration performance of corrugated sandwich structure in a broad frequency range. The wave finite element method (WFEM) is used to solve the dispersion relation between frequency and wavenumber of the unit cell of the periodic corrugated sandwich structure. A modified Timoshenko beam model is constructed to calculated the dynamic equivalent parameters by matching the propagation and evanescent bending wave numbers of the corrugated sandwich beam. The vibration differential equation of the corrugated sandwich structure is established using the dynamic equivalent parameters. The analytical solution for the vibration response of the corrugated sandwich beam is obtained by solving the differential equation established using Laplace transformation, and the analytical results are compared with finite element method (FEM). The results reveal that the method presented in this paper is highly accurate compared with static equivalent method (SEM) and could be confidently used as a reference for further study of corrugated sandwich structure.

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采用动态等效法测量带波纹芯材的夹层梁在宽频率范围内的振动性能

波纹夹层结构因其卓越的静态和动态性能而被广泛应用于工程领域。然而，目前对其振动行为的研究主要集中在低频状态，限制了其在极端环境中的应用。针对这一不足，我们建立了一个基于动态等效法（DEM）的理论模型，以研究波纹夹层结构在宽频率范围内的振动性能。波有限元法（WFEM）用于求解周期性波纹夹层结构单元单元的频率与波数之间的频散关系。通过匹配波纹夹层梁的传播波数和频散弯曲波数，建立了改进的 Timoshenko 梁模型，从而计算出动态等效参数。利用动态等效参数建立了波纹夹层结构的振动微分方程。利用拉普拉斯变换求解建立的微分方程，得到波纹夹层梁振动响应的解析解，并将解析结果与有限元法（FEM）进行比较。结果表明，本文提出的方法与静态等效方法（SEM）相比具有很高的精确度，可作为进一步研究波纹夹层结构的参考。

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来源期刊

Aerospace Science and Technology 工程技术-工程：宇航

CiteScore

10.30

自引率

28.60%

发文量

654

审稿时长

54 days

期刊介绍： Aerospace Science and Technology publishes articles of outstanding scientific quality. Each article is reviewed by two referees. The journal welcomes papers from a wide range of countries. This journal publishes original papers, review articles and short communications related to all fields of aerospace research, fundamental and applied, potential applications of which are clearly related to: • The design and the manufacture of aircraft, helicopters, missiles, launchers and satellites • The control of their environment • The study of various systems they are involved in, as supports or as targets. Authors are invited to submit papers on new advances in the following topics to aerospace applications: • Fluid dynamics • Energetics and propulsion • Materials and structures • Flight mechanics • Navigation, guidance and control • Acoustics • Optics • Electromagnetism and radar • Signal and image processing • Information processing • Data fusion • Decision aid • Human behaviour • Robotics and intelligent systems • Complex system engineering. Etc.