A quasi-zero stiffness isolator based on the second-order antisymmetric buckling mode of beams

Compared with conventional linear isolators, quasi-zero stiffness (QZS) isolators offer superior load-bearing capacity and low-frequency vibration isolation performance. This study proposes a QZS isolator based on a continuous structure, in which negative stiffness is achieved through the second-order antisymmetric buckling behavior of inclined beams in an X-shaped structure, while a folded beam serves as the positive stiffness component to realize QZS characteristics. The static behavior of the proposed QZS isolator, formed by combining the negative and positive stiffness components, is thoroughly investigated via numerical simulations and experimental tests. Particular attention is given to the influence of the geometric parameters of the X-shaped structure. A nonlinear single-degree-of-freedom (SDOF) model incorporating quadratic and cubic stiffness terms is established, and the harmonic balance method (HBM) is employed to calculate the transmissibility and assess the isolation performance. Results demonstrate that the QZS isolator can effectively reduce both the resonance frequency and the onset frequency of isolation. Nonlinear phenomena such as stiffness softening and harmonic resonance are also examined, revealing that increased excitation amplitude and reduced damping ratio intensify the system’s nonlinearity.

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Publication Details

Journal
Journal of Vibration and Control
Published
2026-01-19
DOI
https://doi.org/10.1177/10775463261418664
Primary Topic
Vibration Control and Rheological Fluids
Type
article
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article

A quasi-zero stiffness isolator based on the second-order antisymmetric buckling mode of beams

Jie Guo, Hao Li
Journal of Vibration and Control
Vibration Control and Rheological Fluids
article

A quasi-zero stiffness isolator based on the second-order antisymmetric buckling mode of beams

Jie Guo, Hao Li
article en

Abstract

Compared with conventional linear isolators, quasi-zero stiffness (QZS) isolators offer superior load-bearing capacity and low-frequency vibration isolation performance. This study proposes a QZS isolator based on a continuous structure, in which negative stiffness is achieved through the second-order antisymmetric buckling behavior of inclined beams in an X-shaped structure, while a folded beam serves as the positive stiffness component to realize QZS characteristics. The static behavior of the proposed QZS isolator, formed by combining the negative and positive stiffness components, is thoroughly investigated via numerical simulations and experimental tests. Particular attention is given to the influence of the geometric parameters of the X-shaped structure. A nonlinear single-degree-of-freedom (SDOF) model incorporating quadratic and cubic stiffness terms is established, and the harmonic balance method (HBM) is employed to calculate the transmissibility and assess the isolation performance. Results demonstrate that the QZS isolator can effectively reduce both the resonance frequency and the onset frequency of isolation. Nonlinear phenomena such as stiffness softening and harmonic resonance are also examined, revealing that increased excitation amplitude and reduced damping ratio intensify the system’s nonlinearity.

Journal of Vibration and Control
Harbin Engineering University (CN)
Peace, Justice and strong institutions
Openalex Percentile: Top 84%
Vibration Control and Rheological Fluids
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