On vibration transmission between interactive oscillators with nonlinear coupling interface

Yang, Jian; Shi, Baiyang; Rudd, Chris

doi:10.1016/j.ijmecsci.2018.01.014

Cited by 22 publications

(10 citation statements)

References 24 publications

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“…Vibration power flow analysis (PFA) approach has been widely used to assess the performance of linear vibration mitigation systems [18,19], including linear inerter-based vibration isolators [20,21]. This approach has been developed to reveal dynamics of nonlinear systems from energy flor viewpoint [22,23,24], and to evaluate nonlinear isolators [2,25] and dynamic vibration absorbers [26] .…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

2019

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This paper investigates a nonlinear inertance mechanism (NIM) for vibration mitigation and evaluates the performance of nonlinear vibration isolators employing such mechanism. The NIM comprises a pair of oblique inerters with one common hinged terminal and the other terminals fixed. The addition of the NIM to a linear spring-damper isolator and to nonlinear quasizero-stiffness (QZS) isolators is considered. The harmonic balance method is used to derive the steadystate frequency-response relationship and force transmissibility of the isolators subject to harmonic force excitations. Different performance indices associated with the dynamic displacement response and force transmissibility are employed to evaluate the performance of the resulting isolators. It is found that the frequency response curve of the inerter-based nonlinear isolation system with the NIM and a linear stiffness bend towards the low-frequency range, similar to the characteristics of the Duffing oscillator with softening stiffness. It is shown that the addition of NIM to a QZS isolator enhances vibration isolation performance by providing a wider frequency band of low amplitude response and force transmissibility. These findings provide a better understanding of the functionality of the NIM and assist in better designs of nonlinear passive vibration mitigation systems with inerters.

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Section: Introductionmentioning

confidence: 99%

Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

2019

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“…Increased knowledge will be gained from research on abnormal vibration faults. Yang et al (2018) found that the stiffness and softening stiffness of the coupling interface on the vibration transfer path at high excitation frequency led to a higher vibration transfer rate. Noh (2017) obtained the vibration transfer function and the measured signal from the source based on transfer path analysis, and performed a vibration transfer contribution analysis to obtain the main frequency source of indoor vibration.…”

Section: Introductionmentioning

confidence: 96%

“…Increased knowledge will be gained from research on abnormal vibration faults. Yang et al. (2018) found that the stiffness and softening stiffness of the coupling interface on the vibration transfer path at high excitation frequency led to a higher vibration transfer rate.…”

Section: Introductionmentioning

confidence: 96%

Vibration control analysis of vehicle steering system based on combination of finite-element analysis and modal testing

Tang

Ye³

et al. 2019

Journal of Vibration and Control

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Determining the natural frequency distribution is of great importance in studying the vibration of the steering system in a commercial vehicle. A high-speed vibration frequency sweep experiment on an unladen commercial vehicle was conducted to determine the resonance frequency of the vehicle components. A vibration waterfall plot of the collected vibration data revealed that the cause of the vibration was frequency coupling resonance between the steering wheel vibration frequency and the second-order rotation frequency of the tire. Thus, a combined optimization of the structure of the rigid bearing parts of the steering fixed support and the steering column structure was proposed. A combination of finite-element analysis and modal testing method was undertaken to verify the effectiveness of the proposed combined structural improvement; the results demonstrated the consistency of the combined methods and showed that the natural frequency of the improved steering structures, together with the vibration amplitude, had changed. This study demonstrated the feasibility of the combined modal testing and finite-element analysis method, provided more information on the vibration transfer characteristics related to the vehicle subsystems, and provided a reference for the structural design of steering systems with reduced vibration.

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“…However, since our equations are coupled, this alone will not lead to useful results. Recently, Yang et al have applied this method to solve an equation identical to WCR, but their result was not simple enough, and need to rely on numerical calculation to demonstrate the result [19]. In view of this, we introduce another approximation based on eigenmode amplitude ratio at the resonance.…”

Section: Introductionmentioning

confidence: 99%

Characterization of Nonlinear Behavior of Weakly Coupled Resonators Based on Nonlinearity Factor

Ikehashi

Maekoba²,

Parent³

2021

IEEE Sensors J.

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Mode-localization is a promising method to realize high sensitivity sensors, especially in the field of MEMS. Since these sensors monitor amplitude change of weakly coupled resonators, it is important to grasp condition that induces multi-valued amplitude-frequency curve. In this paper, we provide an efficient tool to characterize the nonlinear behavior of the weakly coupled resonators. To analyze the nonlinearity, we solve a two-degrees-of-freedom (2-DoF) coupled equation of motion with nonlinear spring terms. Two approximations are employed to solve the equation; Krylov-Bogoliubov averaging method and approximation based on eigenmode amplitude-ratio at the resonances. As a result, we obtain two decoupled Duffing-like amplitude-frequency equations. We show that nonlinearity of the system is described by factors contained in the equations. The factors can be explicitly written in terms of basic parameters of the system, including coupling spring constant and nonlinear terms. Thus, instead of relying on numerical calculations, we can find parameter condition that brings about multi-valued amplitude-frequency curve. This method can also be utilized to find a condition that eliminates the nonlinearity. As an example, we apply this method to a weakly coupled resonator which uses parallel plate electrode as a coupling spring. We demonstrate the effectiveness and validity of this method by comparing the result with FEM simulations. The methodology and results presented here are general one and can be applied to various systems described by nonlinear coupled resonators.

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On vibration transmission between interactive oscillators with nonlinear coupling interface

Cited by 22 publications

References 24 publications

Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

Vibration control analysis of vehicle steering system based on combination of finite-element analysis and modal testing

Characterization of Nonlinear Behavior of Weakly Coupled Resonators Based on Nonlinearity Factor

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