On the Effects of Mistuning a Force-Excited System Containing a Quasi-Zero-Stiffness Vibration Isolator

Abolfathi, Ali; Brennan, M.J.; Waters, T.P.; Tang, Bin

doi:10.1115/1.4029689

Cited by 36 publications

(13 citation statements)

References 10 publications

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“…Huang et al [12,13] and Liu et al [14] studied the dynamic responses of the isolation system considering the combined effect of load imperfection, stiffness imperfection, and excitation amplitude. Abolfathi et al [15] studied the effects of mistuning a force-excited system containing a QZS vibration isolator. They also studied the dynamic characteristics of nonlinear vibration isolators with asymmetric stiffness [16].…”

Section: Fig 1 Original Principle Model Of Vertical Vibration Isolamentioning

confidence: 99%

Stiffness and vibration isolation characteristics of a torsional isolator with negative stiffness structure

Liu¹,

Wang²,

Liu³

2018

J. vibroeng.

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This paper proposes a novel design torsional vibration isolator with negative stiffness structures. It consists of two shafts that are linked by positive springs and negative stiffness structures. The connection position of the two shafts has been designed into disc structure, which is the installation position of the positive springs and negative stiffness structures. The task of positive springs is to transmit the designed torque. In this paper, the nonlinear stiffness characteristics of the isolator are presented. The nonlinear mathematical model is presented, and its dynamic behaviors are investigated using the averaging method, and compared with that of the corresponding linear torsion isolator without negative stiffness structures. The study shows that the torsion isolator has a wider isolation region than that of the linear isolator. Furthermore, the performance of the isolator is sensitive to the damping of the system and the amplitude of vibration excitation. Choosing a suitable damping and vibration environment will be important for the stable application of this isolator.

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Section: Fig 1 Original Principle Model Of Vertical Vibration Isolamentioning

confidence: 99%

Stiffness and vibration isolation characteristics of a torsional isolator with negative stiffness structure

Liu¹,

Wang²,

Liu³

2018

J. vibroeng.

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“…This isolator possesses high-static-low-dynamic stiffness so that it can maintain the load-bearing capacity with a small static displacement and achieve a lower natural frequency to enlarge frequency ranges of vibration isolation. But, it should be noted that isolators with QZS are very sensitive facilities and if something occurs to cause deviation of its characteristic parameters (e.g., mismatch of the load and negative stiffness parameters) and/or change in the non-linearity properties of its forces (e.g., destruction of the symmetry), then the isolation performance will change dramatically [19][20][21][22]. This situation is particularly true when the amplitude of excitation is not relatively small, and the isolator is exposed to a sustained excitation.…”

Section: Introductionmentioning

confidence: 99%

Non-Linear Vibration Isolators with Unknown Excitation and Unmodelled Dynamics: Sliding Mode Active Control

Zhang¹,

Hu²,

Liu³

et al. 2019

Applied Sciences

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For a class of single-degree-of-freedom non-linear passive vibration isolators with unknown excitation and unmodelled dynamics, two sliding mode control methods-a conventional one and the other using a super-twisting algorithm-were proposed to complement and improve the performances and the robustness of the passive isolators. The proposed control methods only require the estimation of the loading and measured velocities of the isolators. Numerical simulations for a non-linear isolator with quasi-zero stiffness demonstrated that both methods were effective and easy to implement, and the one using a super-twisting algorithm was more promising from the perspective of practical application.

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“…Huang et al 20 investigated the dynamic behaviors and isolation performance of a QZS vibration isolator considering load mismatch using the harmonic balance method (HBM). Abolfathi et al 21 used the same method to analyze the force transmissibility of a QZS vibration isolator considering a constant force and load mismatch. Zou et al 22 obtained the asymmetric solutions of a wire rope vibration isolator using a modi¯ed homotopy analysis method.…”

Section: Introductionmentioning

confidence: 99%

Resonance of a Quasi-Zero Stiffness Vibration System Under Base Excitation with Load Mismatch

Cheng

Wang

et al. 2018

Int. J. Str. Stab. Dyn.

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The primary resonance and 1/3 subharmonic resonance of a quasi-zero stiffness (QZS) vibration system under base excitation with load mismatch are studied in this research. The incremental harmonic balance (IHB) method is applied to obtain highly accurate solutions involving more dynamic behaviors. The effect of the offset displacement mainly caused by overloading on the primary resonance and displacement transmissibility is investigated. The results indicate that the system exhibits a softening characteristic under certain conditions. Although the isolation performance of the QZS system deteriorates, it still outperforms the equivalent linear system for excitation amplitudes that are not too large. The parametric analysis of the 1/3 subharmonic resonance shows that the response is unbounded, and interesting dynamic behaviors can be observed, such as the jump phenomenon. Moreover, the 1/3 subharmonic resonance can be avoided by applying a larger damping or reducing the excitation amplitude to a lower level.

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On the Effects of Mistuning a Force-Excited System Containing a Quasi-Zero-Stiffness Vibration Isolator

Cited by 36 publications

References 10 publications

Stiffness and vibration isolation characteristics of a torsional isolator with negative stiffness structure

Stiffness and vibration isolation characteristics of a torsional isolator with negative stiffness structure

Non-Linear Vibration Isolators with Unknown Excitation and Unmodelled Dynamics: Sliding Mode Active Control

Resonance of a Quasi-Zero Stiffness Vibration System Under Base Excitation with Load Mismatch

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