A nonlinear auxetic structural vibration damper with metal rubber particles

Ma, Yuanyuan; Scarpa, Fabrizio; Zhang, Dayi; Zhu, Bin; Chen, Lulu; Hong, Jun

doi:10.1088/0964-1726/22/8/084012

Cited by 132 publications

(72 citation statements)

References 32 publications

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“…Auxetic materials have been initially observed in ferromagnetic films [1], face centered cubic crystals [2], hard cyclic hexamers [3,4], and foams [5][6][7][8]. Due to their counter-intuitive properties, auxetic materials have been investigated as smart materials for potential applications including cushion materials [9], stents [10,11], pressure vessels [12], sensors [13], morphing airfoils [14,15], smart folding structures [16], smart metamaterials [17], aeroengine fan blades [18], and vibration dampers [19], to name a few. Arising from their unique properties, the mechanical performance of auxetic solids has been investigated [20][21][22][23][24][25][26][27][28][29][30][31][32][33], including their elastic stabilities [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Buckling and Vibration of Circular Auxetic Plates

Lim

2014

Journal of Engineering Materials and Technology

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This paper evaluates the elastic stability and vibration characteristics of circuiar piates made from auxetic materials. By solving the general solutions for buckling and vibration of circular piates under various boundary conditions, the critical buckling ioad factors and fundamental frequencies of circular plates, within the scope of the first axisymmetric modes, were obtained for the entire range of Poisson's ratio for isotropic solids, i.e., from -1 to 0.5. Results for elastic stability reveal that as the Poisson's ratio of the plate becomes more negative, the criticai bucking ioad gradually reduces. In the case of vibration, the decrease in Poisson's ratio not only decreases the fundamental frequency, but the decrease becomes very rapid as the Poisson's ratio approaches its lower limit. For both buckling and vibration, the plate's Poisson's ratio has no effect if the edge is fully clamped. The results obtained herein suggest that auxetic materials can be employed for attaining static and dynamic properties which are not common in plates made from conventional materials. Based on the exact results, empiricai models were generated for design purposes so that both the critical buckling load factors and the frequency parameters can be conveniently obtained without calculating the Bessel functions.

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Section: Introductionmentioning

confidence: 99%

Buckling and Vibration of Circular Auxetic Plates

Lim

2014

Journal of Engineering Materials and Technology

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“…Hence, the 1 -order equation (31) is linear in the unknown λ , the 2 -order equation (32) is linear in the unknown λ and so on. Therefore, the cascade solution (null if the numerator vanishes) for the lowest order eigensensitivities is…”

Section: Accepted Manuscriptmentioning

confidence: 99%

“…Among the available chiral topologies, the class of antitetrachiral materials is attracting major attention for its strong auxeticity, accompanied by a marked anisotropy of the elastodynamic response [12,[28][29][30][31][32]. Nonetheless, the microstructural complexity of the anti-tetrachiral periodic cell may act as a partial barrier against fully-analytical formulations.…”

Section: Introductionmentioning

confidence: 99%

High-frequency parametric approximation of the Floquet-Bloch spectrum for anti-tetrachiral materials

Bacigalupo

Lepidi

2016

International Journal of Solids and Structures

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The class of anti-tetrachiral cellular materials is phenomenologically characterized by a strong auxeticity of the elastic macroscopic response. The auxetic behavior is activated by rolling-up deformation mechanisms developed by the material microstructure, composed by a periodic pattern of stiff rings connected by flexible ligaments. A linear beam lattice model is formulated to describe the free dynamic response of the periodic cell, in the absence of a soft matrix. After a static condensation of the passive degrees-of-freedom, a general procedure is applied to analyze the wave propagation in the low-dimensional space of the active degrees-of-freedom. The exact dispersion functions are compared with explicit – although approximate – dispersion relations, obtained from asymptotic perturbation solutions of the eigenproblem governing the Floquet–Bloch theory. A general hierarchical scheme is outlined to formulate and solve the perturbation equations, taking into account the dimension of the perturbation vector. Original recursive formulas are presented to achieve any desired order of asymptotic approximation. For the anti-tetrachiral material, the fourth-order asymptotic solutions are found to approximate the dispersion curves with fine agreement over wide regions of the parameter space. The asymptotic eigensolutions allow an accurate sensitivity analysis of the material spectrum under variation of the key physical parameters, including the cell aspect ratio, the ligament slenderness and the spatial ring density. Finally, the explicit dependence of the dispersion functions on the mechanical parameters may facilitate the custom design of specific spectral properties, such as the wave velocities and band gap amplitudes

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“…Budarpuet al proposed a chiral‐core morphing airfoil with elliptical nodes, and the geometrical configuration of the chiral‐core structure can be optimized to meet various morphing behaviors and global stiffness requirements, thus improving the aerodynamic performance of the airfoil. Ma et al proposed the design of anti‐tetrachiral vibration damper sandwich composite structures, where the cylinders are filled with the metal rubber particles (MRP) material. Static and dynamic vibration tests are performed to assess the performances of the integrated auxetic‐MRP damper structures; it is found that the lightweight integrated auxetic damping panel exhibit higher damping and loading capability.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Properties of 3D Isotropic Anti‐Tetrachiral Metastructure

Xia

Song

Sun

et al. 2017

Physica Status Solidi (b)

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Chiral metastructures consisting of ring (polygonal or cubic) nodes and elastic bending ligaments exhibit excellent design flexibility for compliant structures. In this paper, based on rigid cubic node rotation and the kinematic geometrical relations of a three-dimensional (3D) isotropic anti-tetrachiral structure, an analytical expression for the modulus of the 3D isotropic anti-tetrachiral structure is derived from strain energy analysis. The nylon powder Selected Laser Sintering (SLS) additive manufacturing technique is employed for fabricating two types of 3D isotropic anti-tetrachiral specimens with different geometrical parameters; then comparison between experiments, finite element analysis (FEA), and theoretical studies is performed for verifying the analytical formula. The mechanical properties of 3D isotropic anti-tetrachiral structures can be tuned with two independent dimensionless geometrical parameters. The proposed 3D anti-tetrachiral structures can be employed for designing advanced structures against impact damages, realizing flexibility of industrial components, and optimizing the vibration attenuation abilities of engineering structures.

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A nonlinear auxetic structural vibration damper with metal rubber particles

Cited by 132 publications

References 32 publications

Buckling and Vibration of Circular Auxetic Plates

Buckling and Vibration of Circular Auxetic Plates

High-frequency parametric approximation of the Floquet-Bloch spectrum for anti-tetrachiral materials

Mechanical Properties of 3D Isotropic Anti‐Tetrachiral Metastructure

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