A vari-stiffness nonlinear isolator with magnetic effects: Theoretical modeling and experimental verification

Yan, Bo; Ma, Hongye; Zhao, Chenxue; Chen, Wu; Wang, Ke; Wang, Pengfei

doi:10.1016/j.ijmecsci.2018.09.031

Cited by 92 publications

(26 citation statements)

References 44 publications

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“…Furthermore, the low-frequency vibration is also suppressed, and the bandwidth can reach up to 150 Hz. In view of vibration isolation, low-natural-frequency isolators can achieve bandwidth isolation performance when the excitation frequency is bigger than 2ωn, such as nonlinear vibration isolators [56,57,58], quasi-zero isolators [59,60], etc. These nonlinear vibration isolators can achieve broadband vibration isolation performance with negative dynamic stiffness of nonlinear isolators; however, the vibration suppression in the resonance region is dependent on damping.…”

Section: Resultsmentioning

confidence: 99%

Piezoelectric Shunt Stiffness in Rhombic Piezoelectric Stack Transducer with Hybrid Negative-Impedance Shunts: Theoretical Modeling and Stability Analysis

Zheng

Zhao

et al. 2019

Sensors

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Negative-capacitance shunted piezoelectric polymer was investigated in depth due to its considerable damping effect. This paper discusses the novel controlled stiffness performance from a rhombic piezoelectric stack transducer with three hybrid negative-impedance shunts, namely, negative capacitance in series with resistance, negative capacitance in parallel with resistance, and negative inductance/negative capacitance (NINC) in series with resistance. An analytical framework for establishing the model of the coupled system is presented. Piezoelectric shunt stiffness (PSS) and piezoelectric shunt damping (PSD) are proposed to analyze the stiffness and damping performances of the hybrid shunts. Theoretical analysis proves that the PSS can produce both positive and negative stiffness by changing the negative capacitance and adjustable resistance. The Routh–Hurwitz criterion and the root locus method are utilized to judge the stability of the three hybrid shunts. The results point out that the negative capacitance should be selected carefully to sustain the stability and to achieve the negative stiffness effect of the transducer. Furthermore, negative capacitance in parallel with resistance has a considerably better stiffness bandwidth and damping performance than the other two shunts. This study demonstrates a novel electrically controlled stiffness method for vibration control engineering.

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Section: Resultsmentioning

confidence: 99%

Piezoelectric Shunt Stiffness in Rhombic Piezoelectric Stack Transducer with Hybrid Negative-Impedance Shunts: Theoretical Modeling and Stability Analysis

Zheng

Zhao

et al. 2019

Sensors

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“…Xu et al designed a nonlinear magnetic low-frequency vibration isolator with quasizero stiffness [18]. Bo et al employed magnetic repulsive force and magnetic attractive force effects to design a novel passive nonlinear isolator [19]. Mofidian and Bardaweel used the elastic and magnetic component to design a dual purpose vibration isolator energy harvester device for low-frequency operations [20].…”

Section: Mallik Et Al Experimentally Investigated the Damping And Rementioning

confidence: 99%

“…In order to solve the nonlinear high-order differential equation presented in Eq. 3, various techniques such as harmonic balance and Taylor expansion methods can be employed [15,19,28]. The acceleration at the initial point can be written as follows:…”

Section: Lumped Mass-spring Model Of Vibration Isolatormentioning

confidence: 99%

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Vibration analysis of a novel magnetic-viscous nonlinear passive isolator via finite element simulation

Meram¹,

Önen²

2019

Turk J Elec Eng & Comp Sci

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In this paper, the design and the finite element simulation of a novel magnetic-viscous vibration isolator have been presented. The proposed isolator consists of permanent magnets axially aligned in repulsion position and a viscous damper in parallel with them. The nonlinear spring characteristic of the permanent magnets provides a good damping property with this configuration. Explicit finite element analyses have been conducted to examine the dynamic behavior of the isolator. Output displacements and transmissibility ratios were measured for various magnet configurations, dashpot coefficients, and input displacement excitation frequencies to determine the best damping properties. The results of the finite element modeling revealed that the performance of the isolator is highly sensitive to the quantity of magnets. Isolators with four or more magnets can successfully reduce the output displacement. The results indicate that the isolator significantly reduces the displacement transmissibility in frequencies over the resonant frequency region. It is possible to ensure an infinite operating life for magnet-viscous vibration isolators by protecting the magnets against breakage.

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“…For example, pre-stressed bars or beams [2,3], inclined springs with axial preload [4][5][6], cam-roller-spring mechanisms [7,8], and scissor-like structures [9] combined with a vertical spring in parallel, can produce high-static-low-dynamic stiffness. In addition, cubic permanent magnets in attractive [10,11], repulsive [12,13], or a combination of attractive and repulsive configuration [14,15], permanent magnet rings magnetized axially [16,17] or radially [18,19] were well proposed to produce negative stiffness with non-contact characteristics. The negative stiffness of the above vibration isolators was not easy to adjust, so their optimal performance can only be achieved when they are with a certain payload and geometric parameters.…”

Section: Introductionmentioning

confidence: 99%

Improving Low Frequency Isolation Performance of Optical Platforms Using Electromagnetic Active-Negative-Stiffness Method

et al. 2020

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To improve the low-frequency isolation performance of optical platforms, an electromagnetic active-negative-stiffness generator (EANSG) was proposed, using nano-resolution laser interferometry sensors to monitor the micro-vibration of an optical platform, and precision electromagnetic actuators integrated with a relative displacement feedback strategy to counteract the positive stiffness of pneumatic springs within a micro-vibration stroke, thereby producing high-static-low-dynamic stiffness characteristics. The effectiveness of the method was verified by both theoretical and experimental analyses. The experimental results show that the vertical natural frequency of the optical platform was reduced from 2.00 to 1.37 Hz, the root mean square of displacement was reduced from 1.28 to 0.69 μm, and the root mean square of velocity was reduced from 14.60 to 9.33 μm/s, proving that the proposed method can effectively enhance the low frequency isolation performance of optical platforms.

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A vari-stiffness nonlinear isolator with magnetic effects: Theoretical modeling and experimental verification

Cited by 92 publications

References 44 publications

Piezoelectric Shunt Stiffness in Rhombic Piezoelectric Stack Transducer with Hybrid Negative-Impedance Shunts: Theoretical Modeling and Stability Analysis

Piezoelectric Shunt Stiffness in Rhombic Piezoelectric Stack Transducer with Hybrid Negative-Impedance Shunts: Theoretical Modeling and Stability Analysis

Vibration analysis of a novel magnetic-viscous nonlinear passive isolator via finite element simulation

Improving Low Frequency Isolation Performance of Optical Platforms Using Electromagnetic Active-Negative-Stiffness Method

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