The isolation performance of vibration systems with general velocity-displacement-dependent nonlinear damping under base excitation: numerical and experimental study

Huang, Xiuchang; Jin, Sun; Hu, Hua; Zhang, Zhiyi

doi:10.1007/s11071-016-2722-4

Cited by 24 publications

(14 citation statements)

References 42 publications

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“…So, the trajectory of the system (3) is asymptotically convergent to a vicinity of zero under the control input (6), and the convergent precision is determined by D, µ, and ε.…”

Section: Force Controller Designmentioning

confidence: 99%

“…Non-linear passive vibration isolators have been proven to be advantageous to overcome the inherent drawback of linear isolators in different applications [1]. Thus, the effects of non-linear stiffness or/and damping on an isolator's performance have drawn a lot of attention; see, for example, [2][3][4][5][6]. It is known that a non-linear isolator performs well over larger frequency ranges compared to a corresponding linear isolator.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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“…So, the trajectory of the system (3) is asymptotically convergent to a vicinity of zero under the control input (6), and the convergent precision is determined by D, µ, and ε.…”

Section: Force Controller Designmentioning

confidence: 99%

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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“…Lv and Yao 20 further studied the effects of nonlinear viscous damping with displacement- n th power on the vibration isolator. Besides, Huang et al 21 investigated the effects of the velocity-displacement-dependent nonlinear damping on the isolation performance theoretically and experimentally. The results indicated that this kind of damping can improve the isolation performance at both resonant region and high frequencies if the velocity and displacement exponents satisfy certain conditions.…”

Section: Introductionmentioning

confidence: 99%

Beneficial performance of a quasi-zero stiffness vibration isolator with generalized geometric nonlinear damping

Cheng

2020

Noise & Vibration Worldwide

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Generalized geometric nonlinear damping based on the viscous damper with a non-negative velocity exponent is proposed to improve the isolation performance of a quasi-zero stiffness (QZS) vibration isolator in this paper. Firstly, the generalized geometric nonlinear damping characteristic is derived. Then, the amplitude-frequency responses of the QZS vibration isolator under force and base excitations are obtained, respectively, using the averaging method. Parametric analysis of the force and displacement transmissibility is conducted subsequently. At last, two phenomena are explained from the viewpoint of the equivalent damping ratio. The results show that decreasing the velocity exponent of the horizontal damper is beneficial to reduce the force transmissibility in the resonant region. For the case of base excitation, it is beneficial to select a smaller velocity exponent only when the nonlinear damping ratio is relatively large.

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“…Another type of nonlinear damping of similar beneficial effects is also cubic, whose force is a function of both displacement and velocity [8,9] (referred as the second type of nonlinear damping in the following sections), i.e., f II d ∝ r 2ṙ ( f II d is the damping force, r andṙ denotes the displacement and velocity, respectively) or a more general form of velocity-displacement-dependent nonlinear damping force described in Ref. [10]. Performance comparisons of these two types of nonlinear damping in free vibrations and forced vibrations can be found in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…As been discussed above, in order to simultaneously meet the requirements of low resonance amplitude and good isolation performance at high-frequency range, these scholars [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] studied the lightly damped or even no damped linear isolators (already have good isolation efficiency at high frequencies) and added nonlinear damping elements to improve their poor resonance performances. While in this paper, we develop another novel way by presenting a sufficient damped isolator (naturally owns low resonance amplitude) and employ a nonlinear spring to reduce its vibration transmissibility at high frequencies without deteriorating its resonance performance.…”

Section: Introductionmentioning

confidence: 99%

Enhancing the isolation performance by a nonlinear secondary spring in the Zener model

2016

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In order to obtain an isolator with low resonance amplitude as well as good isolation performance at high frequencies, this paper explores the usage of nonlinear stiffness elements to improve the transmissibility efficiency of a sufficient linear damped vibration isolator featured with the Zener model. More specifically, we intend to improve its original poor highfrequency isolation performance and meanwhile maintain or even reduce its already low resonance amplitude by adding a nonlinear secondary spring into the isolator. Its isolation performances are evaluated under two input scenarios namely force transmissibility under force input and displacement transmissibility under base excitations, respectively. Thereafter, both analytical and numerical study is performed to compare the high-frequency transmissibility as well as resonance condition of the nonlinear isolator with its corresponding linear one. Results show that the introduction of nonlinear secondary spring in the Zener model can achieve an ideal improvement, i.e., reducing the transmissibility at high frequencies and meanwhile suppressing the resonance amplitude. It is also shown that both force and displacement transmissibility of the non-

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The isolation performance of vibration systems with general velocity-displacement-dependent nonlinear damping under base excitation: numerical and experimental study

Cited by 24 publications

References 42 publications

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

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

Beneficial performance of a quasi-zero stiffness vibration isolator with generalized geometric nonlinear damping

Enhancing the isolation performance by a nonlinear secondary spring in the Zener model

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