Chaos identification and parameter optimization for vibration suppression in composite bistable structures

IF 1.9 4区工程技术 Q3 MECHANICS

Mechanics Research Communications Pub Date : 2023-12-16 DOI:10.1016/j.mechrescom.2023.104236

Feng Guo, Hui Fang

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引用次数: 0

Abstract

An innovative composite bistable system (CBs) coupled of prestressed linear and buckled beams with fixed ends has been designed to enhance the damping and suppress the dynamic response. The dynamic equations of the system are derived by applying Hamilton's principle. When the amplitude of the harmonic excitation exceeds the critical value, the buckling beam of the bistable system enters a state of inter- and in-well combined oscillations. Chaotic motion is present. This motion disperses the vibrational energy over a wide frequency band. The vibration in the high-frequency range significantly enhances the dissipation of the viscoelastic layer, leading to an effective suppression of the system's vibration. Approximate analytical solutions and numerical validation of the chaotic and non-chaotic boundaries of the steady state vibration of the bistable system are carried out based on the harmonic balance method (HBM) and the Melnikov method. The Particle Swarm Optimisation (PSO) algorithm is used to optimise system parameters for specific operating conditions. This optimisation process provides guidance for the design and improvement of CBs systems.

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用于复合双稳态结构振动抑制的混沌识别与参数优化

为了增强阻尼和抑制动态响应，设计了一种创新的复合双稳态系统（CBs），该系统由预应力线性梁和两端固定的屈曲梁耦合而成。该系统的动态方程是应用汉密尔顿原理推导出来的。当谐波激励的振幅超过临界值时，双稳态系统的屈曲梁进入井间和井内组合振荡状态。出现了混沌运动。这种运动将振动能量分散到很宽的频带上。高频范围内的振动显著增强了粘弹性层的耗散，从而有效抑制了系统的振动。基于谐波平衡法（HBM）和梅尔尼科夫法，对双稳态系统稳态振动的混沌和非混沌边界进行了近似分析求解和数值验证。粒子群优化 (PSO) 算法用于优化特定运行条件下的系统参数。这一优化过程为双向可变系统的设计和改进提供了指导。

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.