On vibration transmission in oscillating systems incorporating bilinear stiffness and damping elements

Shi, Baiyang; Yang, Jian; Rudd, Chris

doi:10.1016/j.ijmecsci.2018.10.031

Cited by 40 publications

(8 citation statements)

References 20 publications

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“…This can be explained by Eq. (24), which shows that the oscillation frequency is an increasing function of amplitude r. Physically, the QZS isolator may be approximated via a Taylor series expansion, to a hardening Duffing oscillator [27]. In contrast, the backbone curve associated with the nonlinear NIM isolator shown by Fig.…”

Section: Backbone Curvesmentioning

confidence: 99%

“…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%

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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: Backbone Curvesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

2019

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“…Yang et al studied the power flow behaviour and energy transmission characteristics of the Duffing oscillator [29], a nonlinear absorber [30], and a nonlinear isolator [31]. In recent years, the PFA has also been applied to the coupled oscillators with different nonlinear joints [32][33][34], with clearance [35,36], or with nonlinear inerter mechanisms [37].…”

Section: Introductionmentioning

confidence: 99%

Enhancing Vibration Isolation Performance by Exploiting Novel Spring-Bar Mechanism

Shi

Yang

2021

Applied Sciences

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This study investigates the use of a spring-bar mechanism (SBM) in a vibration suppression system to improve its performance. The SBM, comprising bars and springs, is configured with a conventional linear spring-damper isolator unit. The dynamic response, force transmissibility, and vibration energy flow behaviour are studied to evaluate the vibration suppression performance of the integrated system. It is found that the SBM can introduce hardening, softening stiffness, or double-well potential characteristics to the system. By tuning the SBM parameters, constant negative stiffness is achieved so that the natural frequency of the overall system is reduced for enhanced low-frequency vibration isolation. It is also found that the proposed design yields a wider effective isolation range compared to the conventional spring-damper isolator and a previously proposed isolator with a negative stiffness mechanism. The frequency response relation of the force-excited system is derived using the averaging method and elliptical functions. It is also found that the system can exhibit chaotic motions, for which the associated time-averaged power is found to tend to an asymptotic value as the averaging time increases. It is shown that the time-averaged power flow variables can be used as uniform performance indices of nonlinear vibration isolators exhibiting periodic or chaotic motions. It is shown that the SBM can assist in reducing force transmission and input power, thereby expanding the frequency range of vibration attenuations.

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“…The power flow characteristics of single-DOF inerter-based isolators [11] and two-DOF inerter-based isolators [12] were also investigated. In recent years, this dynamic analysis approach has been developed to investigate vibration power flow in nonlinear vibration isolation systems [15], in oscillators coupled with a nonlinear interface [16], in coupled nonlinear oscillators [17], nonlinear systems with bilinear stiffness and bilinear damping [18] and in impact oscillator systems [19]. It is accordingly beneficial to examine the effects of inerters from a vibration power flow viewpoint for enhanced designs of inerter-based vibration suppression systems.…”

Section: Introductionmentioning

confidence: 99%

Suppression of Vibration Transmission Between Oscillators Coupled With an Inerter-Based Joint

Dong¹,

Yang²,

Han³

et al. 2020

XI International Conference on Structural Dynamics

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On vibration transmission in oscillating systems incorporating bilinear stiffness and damping elements

Cited by 40 publications

References 20 publications

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

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

Enhancing Vibration Isolation Performance by Exploiting Novel Spring-Bar Mechanism

Suppression of Vibration Transmission Between Oscillators Coupled With an Inerter-Based Joint

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