介电弹性管状双层体系的轴对称振动与稳定性

IF 2.9 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES
Ahmad Almamo, Yipin Su, Weiqiu Chen, Huiming Wang
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引用次数: 0

摘要

现代传感器和致动器可能具有多场耦合功能层和一些弹性层。本文研究了一个管状双层系统,该系统由一个薄介质管和一个厚弹性层组成。我们在电弹性一般非线性理论和相关线性增量理论的框架内,通过考虑界面的连续性条件,研究了系统在不同外加电压和内外压力作用下的非线性机电响应和线性轴对称振动。我们使用相同的基本公式研究不稳定性行为。状态空间法提供了高效准确的自由振动分析,考虑了最低频率的动态响应,因此我们可以忽略粘性和阻尼效应,这非常适合这个问题。新结果表明,与单层介质管相比,双层系统提高了频率能力和稳定性。厚的外弹性层增强了双层系统的刚度,使其能够抵御轴对称分岔、鼓胀和缩颈等不稳定性。这项研究彻底解释了双层功能系统在暴露于高电压或高压等极端环境时的行为。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Axisymmetric vibration and stability of dielectric-elastic tubular bilayer system

Modern transducers and actuators may have functional layers with multi-field coupling and some elastic layers. This paper considers a tubular bilayer system consisting of a thin dielectric tube coated with a thick elastic layer. We study the nonlinear electromechanical response and the linear axisymmetric vibration of the system subject to different applied voltages and inner/outer pressures within the framework of the general nonlinear theory of electro-elasticity, the related linear incremental theory, and by considering the continuity conditions at the interface. We investigate instability behaviour using the same basic formulae. The state-space method provides efficient and accurate free vibration analysis, considering the dynamic response at the lowest frequencies, so we can neglect the viscous and damping effects, which is well suited to this problem. New results indicate that the bilayer system improves its frequency capability and stability compared to the monolayer dielectric tube. The thick outer elastic layer stiffens the bilayer system against axisymmetric bifurcation, bulging and necking instabilities. It also performs better in front of axisymmetric instability, increasing the system’s capability to receive or produce higher voltages, especially for long waves.This work thoroughly explains bilayer functional systems’ behaviour when exposed to extreme environments such as high voltage or pressure.

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来源期刊
CiteScore
6.40
自引率
5.70%
发文量
227
审稿时长
3.0 months
期刊介绍: Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.
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