Modeling and analysis of a negative stiffness magnetic suspension vibration isolator with experimental investigations

Zhu, Yu; Li, Qiang; Xu, Dianna; Hu, Chuxiong; Zhang, Ming

doi:10.1063/1.4751863

Cited by 23 publications

(11 citation statements)

References 11 publications

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“…Experimental validation of NS vibration isolation mechanisms with their designs based on Euler post-buckled beams have been presented in [12][13][14][15][16]. In automotive engineering, applications include the design of NS suspensions [17,18] as well as vibration isolation seats [19][20][21] for improved passenger comfort. A highspeed railroad vibration isolation system employing NS elements was discussed in [22].…”

Section: Introductionmentioning

confidence: 99%

Enhanced acoustic insulation properties of composite metamaterials having embedded negative stiffness inclusions

Chronopoulos

Antoniadis

Ampatzidis

2017

Extreme Mechanics Letters

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a b s t r a c tDespite the fact that the concept of incorporating Negative Stiffness (NS) elements within mechanical systems was formulated and validated more than 40 years ago, it has only recently received consistent attention. In this work, the design of a layered mechanical metamaterial having implemented NS inclusions is presented and its acoustic wave propagation properties are modelled. A dedicated twodimensional periodic structure theory scheme is developed in order to compute the frequency dependent damping loss factor of the metamaterial structure. The acoustic transmission properties through the modelled panel are computed within a Statistical Energy Analysis (SEA) scheme. It is demonstrated that the suggested layered metamaterial exhibits highly superior acoustic insulation performance close and above the acoustic coincidence range, thanks to the drastic increase of its structural damping properties implied by the NS elements. Additionally, the proposed configuration presents superior performance in a broadband frequency range when compared to a viscoelastic damping constraint layer of equivalent mass.

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Section: Introductionmentioning

confidence: 99%

Enhanced acoustic insulation properties of composite metamaterials having embedded negative stiffness inclusions

Chronopoulos

Antoniadis

Ampatzidis

2017

Extreme Mechanics Letters

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“…Using the variables described above and Equations (6)- (8), the complex stiffness of the diaphragm can be measured indirectly. An experimental apparatus to apply the indirect measurement method explained above is shown in Figure 12.…”

Section: Indirect Extraction Of Diaphragm Complex Stiffnessmentioning

confidence: 99%

“…Using the variables described above and Equations (6)- (8), the complex stiffness of the diaphragm can be measured indirectly.…”

Section: Indirect Extraction Of Diaphragm Complex Stiffnessmentioning

confidence: 99%

Estimation of the Complex Dynamic Stiffness of Inflated Rubber Diaphragms in Pneumatic Springs Using Finite Element Method

Shin

Lee

2020

Sensors

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The accurate modeling of the complex dynamic stiffness of inflated rubber diaphragms in pneumatic springs is necessary for an efficient design of vibration isolation tables for precision instruments, such as optical devices and nano-scale equipment. In addition to pressurized air, rubber diaphragms, essentially employed for the prevention of air leakage, make a significant contribution to the total complex stiffness. To reflect the effect of the dynamic stiffness of the inflated rubber diaphragm on the total complex stiffness during the initial design or design improvement stage, it is desirable to predict the complex stiffness of the inflated rubber diaphragm beforehand. In this paper, an estimation method for the complex stiffness of inflated rubber diaphragms using the commercial finite element method (e.g., ABAQUS) is proposed. The proposed method reflects their dynamic characteristics under the large static deformation by the Mooney–Rivlin and Morman’s constitutive equations. The results of comparison with experimental results indicate that the predictions obtained by the proposed method are congruent with the experimental values of the diaphragm.

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“…where 12 and 32 are the stresses of the corresponding principal stress surface and 2 is the unknown pressure. The stretch ratio can be expressed as 12 =( + 2 )/ , where 2 is the length variable in the vertical direction.…”

Section: Part "2" Stiffness Of the Elastomeric Diaphragmmentioning

confidence: 99%

“…Therefore, a direct theoretical derivation method must be established for the development of an analytical model for a pneumatic vibration isolator. Zhu et al [12] and Li [13] proposed an analytic model of an elastomeric belt in a magnetic-levitation vibration isolator using the Mooney-Rivlin model, and the model was validated experimentally. In that research, the elastomeric belt was chosen as the research object, and an accurate model was obtained according to direct theoretical derivation.…”

Section: Introductionmentioning

confidence: 99%

An Analytical Model for a Pneumatic Vibration Isolator with the Stiffness Effect of the Elastomeric Diaphragm

Shen

et al. 2018

Shock and Vibration

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The elastomeric diaphragm is widely used in pneumatic vibration isolators, and the relevant model is often ignored due to its complexity. Considering that the ignored model of the elastomeric diaphragm in pneumatic vibration isolators plays an important role in the discrepancy between the predicted and practical behavior, this paper develops an analytical model for the elastomeric diaphragm using the Mooney-Rivlin modeling method and elastomeric theory. Specifically, the elastomeric diaphragm consists of several segments in the axial section. After considering the structural restriction, each segment can be simplified as uniaxial stretching, and the force-strain equation can be established for each segment. By combining the equations of all segments, an analytical model of the elastomeric diaphragm can be built and solved via numerical methods. The developed model is added to the standard model of pneumatic cylinders to supply a complete analytical model for pneumatic vibration isolators. The experimental results demonstrate that the analytically predicted behavior is similar to the practical behavior. The proposed analytical model can be used as a guide for the parameter design of pneumatic isolators in practice.

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Modeling and analysis of a negative stiffness magnetic suspension vibration isolator with experimental investigations

Cited by 23 publications

References 11 publications

Enhanced acoustic insulation properties of composite metamaterials having embedded negative stiffness inclusions

Enhanced acoustic insulation properties of composite metamaterials having embedded negative stiffness inclusions

Estimation of the Complex Dynamic Stiffness of Inflated Rubber Diaphragms in Pneumatic Springs Using Finite Element Method

An Analytical Model for a Pneumatic Vibration Isolator with the Stiffness Effect of the Elastomeric Diaphragm

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