Analytical solution for the free transverse vibration of an elastically connected annular plate system with discontinuities

IF 1.9 4区工程技术 Q3 MECHANICS

Mechanics Research Communications Pub Date : 2024-01-30 DOI:10.1016/j.mechrescom.2024.104254

Junling Fan , Yupeng Wang , Yongbin Ma

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Abstract

Due to the performance requirements, structural discontinuities are inevitable in engineering structures. Free vibration of an elastically connected annular plate system with discontinuities has not yet been reported in the literature. In this study, an analytical method is developed for the free vibration of an annular plate system with discontinuities along its radius. The annular plates are connected continuously using an elastic layer. The coupled vibration equations of the annular plate system were decoupled into a series of uncoupled general “vibration” equations which are then transferred into a symplectic dual system. The general “vibration” state can then be analytically described in terms of waves utilizing the elastic wave theory. Using the analytical wave modes and satisfying the compatibility and boundary conditions at the discontinuities, a frequency equation can be obtained analytically. In numerical examples, the free vibrations of systems consist of two and three annular plates were investigated. The accuracy of the proposed method is verified by comparison with literature and finite element method (FEM).

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带间断点的弹性连接环形板系统自由横向振动的解析解

由于工程结构的性能要求，结构不连续性是不可避免的。目前还没有文献报道过具有不连续性的弹性连接环形板系统的自由振动。本研究开发了一种分析方法，用于分析沿半径不连续的环形板系统的自由振动。环形板通过弹性层连续连接。环形板系统的耦合振动方程被解耦为一系列非耦合的一般 "振动 "方程，然后将这些方程转移到交映二元系统中。一般 "振动 "状态可以利用弹性波理论以波的形式进行分析描述。利用分析波模式并满足不连续处的兼容性和边界条件，就可以分析得到频率方程。在数值示例中，研究了由两个和三个环形板组成的系统的自由振动。通过与文献和有限元法（FEM）的比较，验证了所提方法的准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanics Research Communications 物理-力学

CiteScore

4.10

自引率

4.20%

发文量

114

审稿时长

9 months

期刊介绍： Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.