Mechanism and experimental verification of weak signal enhancement via vibrational resonance in bistable cantilever beams

Zhang Yunxiang; Chen Yanmao; Liu Qixian

doi:10.11714/acta.snus.ZR20260060

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Mechanism and experimental verification of weak signal enhancement via vibrational resonance in bistable cantilever beams

更新时间：2026-05-15

- Mechanism and experimental verification of weak signal enhancement via vibrational resonance in bistable cantilever beams
- Acta Scientiarum Naturalium Universitatis Sunyatseni Pages: 1-9(2026)
- 作者机构：
  
  中山大学航空航天学院，广东深圳 518107
- 作者简介：
- 基金信息：
- DOI：10.11714/acta.snus.ZR20260060
  CLC： O32
- Received：14 March 2026，
  
  Accepted：14 April 2026，
  
  Online First：15 May 2026，
- 稿件说明：
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Zhang Yunxiang, Chen Yanmao, Liu Qixian. Mechanism and experimental verification of weak signal enhancement via vibrational resonance in bistable cantilever beams[J/OL]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2026, 1-9.
DOI：

Zhang Yunxiang, Chen Yanmao, Liu Qixian. Mechanism and experimental verification of weak signal enhancement via vibrational resonance in bistable cantilever beams[J/OL]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2026, 1-9. DOI： 10.11714/acta.snus.ZR20260060.

摘要

针对一种具有双稳态特性的磁耦合悬臂梁系统，从理论分析与实验验证两个层面对其振动共振特性进行了研究。首先，建立了双稳态悬臂梁系统的非线性动力学模型，并采用快慢变量分离方法推导了系统低频响应的解析表达式，从理论上揭示了高频激励诱发振动共振的内在机理。随后，搭建了磁耦合双稳态悬臂梁实验平台，在双频激励条件下开展实验研究。从实验结果可以清晰观测到振动共振现象，且其变化规律与理论分析结果一致。本文从力学实验层面验证了振动共振在宏观结构中的可实现性，同时为基于非线性动力学机制的微弱信号放大与检测提供了一种切实可行的研究思路。

Abstract

This paper constructs a magnetic coupling cantilever beam system with bistable characteristics，and conducts a systematic study on its vibration resonance properties from both theoretical analysis and experiment. Firstly，a nonlinear dynamic model of the bistable cantilever beam system is established，and the analytical expression of the system's low-frequency response is derived using the fast-slow variable separation method. This theoretically reveals the intrinsic mechanism by which the high-frequency excitation modulates the slow variable to equivalent natural frequency and induces vibration resonance. Subsequently，a magnetic coupling bistable cantilever beam experimental platform is built，and experimental research is carried out under dual-frequency excitation conditions. The experimental results clearly observe the vibration resonance phenomenon，and its variation pattern is in good consistency with the theoretical analysis results. This paper validates the realizability of vibration resonance in macroscopic structures from the mechanical experiment perspective，and provides a practical research idea for weak signal amplification and detection based on the nonlinear dynamic mechanism.

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