Analysis of temperature-dependent wave propagation for programmable lattices

Zhang, Kai; Zhao, Cheng; Luo, Jie; Ma, Yongbin; Deng, Zichen

doi:10.1016/j.ijmecsci.2019.105372

Cited by 19 publications

(6 citation statements)

References 27 publications

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“…Moreover, a lattice consisting of loaded Timoshenko beams and point masses was designed, and the bandgap distribution and dynamic behaviors were studied based on the Hurty-Craig-Bampton method [49]. A programmable lattice based on a temperature-dependent mechanism was proposed and the directional wave propagation was studied [50]. With the help of a negative stiffness nonlinear oscillator, a multilayered vibration absorption sandwich structure was designed [51].…”

Section: Introductionmentioning

confidence: 99%

Study on bandgap and directional wave propagation of a two-dimensional lattice with a nested core

Hou¹,

Zhang²,

Li³

2022

J. Phys. D: Appl. Phys.

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This paper proposed a two-dimensional lattice structure with a nested core. The bandgap distribution and the anisotropy of phase velocity and group velocity were studied based on Bloch’s theorem and finite element method. The effects of eccentric ratio (e) and rotation angle (θ) of dual-phase structure on the bandgap distribution were investigated, and the anisotropy was studied via phase velocity and group velocity. The structure of (e) = 0.3 displayed the maximum total bandgap width. With (θ) increasing, the total bandgap widths of structures of different (e) all increased apparently and the low-frequency bandgap properties were improved. The phase velocity and group velocity of (e) = 0 displayed strong anisotropy, and the anisotropy was tuned by tuning (θ). Furthermore, the group velocity of the eighth mode displayed high directional wave propagation. For practical application, a single-phase structure was proposed and analyzed. Through additive manufacturing technology, the single-phase structure was prepared and tested by a low amplitude test setup. The experimental results displayed a good agreement with numerical results which demonstrated high directional propagation. This finding may pave the way for the practical application of the proposed lattice metamaterial in terms of wave filtering.

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Section: Introductionmentioning

confidence: 99%

Study on bandgap and directional wave propagation of a two-dimensional lattice with a nested core

Hou¹,

Zhang²,

Li³

2022

J. Phys. D: Appl. Phys.

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“…Auxetic materials have higher energy absorption efficiency, better design ability, better homodromous bending capability, and lower mass than traditional materials [37][38][39] . The application of lattice structure in elastic metamaterials not only improves the performance of the metamaterials, but also has potential values for the development of lightweight materials, multifunctional metamaterials, and programmable materials [40][41][42] . In view of the lattice structure, Liu et al [43] constructed chiral metacomposites by coupling the elastic rubber coated mass inclusions with chiral lattice structures, and showed that the composites had double-negative properties over specific frequency ranges.…”

Section: Introductionmentioning

confidence: 99%

Bandgap characteristics of the two-dimensional missing rib lattice structure

Yang

Guo

2022

Appl. Math. Mech.-Engl. Ed.

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In this paper, the bandgap characteristics of a missing rib lattice structure composed of beam elements are investigated by using the Floquet-Bloch theorem. The tuning of the width and position of the bandgap is achieved by changing the local structural parameters, i.e., the rotation angle, the short beam length, and the beam thickness. In order to expand the regulation of the bandgap, the influence of the material parameters of the crossed long beams inside the structure on the bandgap is analyzed. The results show that the mass density and stiffness of the structure have significant effects on the bandgap, while Poisson’s ratio has no effect on the bandgap. By analyzing the first ten bands of the reference unit cell, it can be found that the missing rib lattice structure generates multiple local resonance bandgaps for vibration reduction, and these bandgap widths are wider. The modal analysis reveals that the formation of the bandgap is due to the dipole resonance of the lattice structure, and this dipole resonance originates from the coupling of the bending deformation of the beam elements. In the band structure, the vibrational mode of the 9th band with a negative slope corresponds to a rotational resonance, which is different from that with the conventional negative slope formed by the coupling of two resonance modes. This study can provide a theoretical reference for the design of simple and lightweight elastic metamaterials, as well as for the regulation of bandgaps and the suppression of elastic waves.

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“…In fact, a systematic and deep understanding of quasi-static and dynamic loading behaviors of the NPR CCHTs is crucial to their practical applications. In addition, it is well known that geometric topology, i.e., the geometric parameters, could have a great influence on the mechanical behavior of metamaterials’ structures [ 50 , 51 , 52 , 53 , 54 , 55 ]. Nevertheless, reports on how will the geometrical parameters affect the mechanical properties of NPR CCHTs are still limited.…”

Section: Introductionmentioning

confidence: 99%

The 3D-Printed Honeycomb Metamaterials Tubes with Tunable Negative Poisson’s Ratio for High-Performance Static and Dynamic Mechanical Properties

et al. 2021

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The synthesized understanding of the mechanical properties of negative Poisson’s ratio (NPR) convex–concave honeycomb tubes (CCHTs) under quasi-static and dynamic compression loads is of great significance for their multifunctional applications in mechanical, aerospace, aircraft, and biomedical fields. In this paper, the quasi-static and dynamic compression tests of three kinds of 3D-printed NPR convex–concave honeycomb tubes are carried out. The sinusoidal honeycomb wall with equal mass is used to replace the cell wall structure of the conventional square honeycomb tube (CSHT). The influence of geometric morphology on the elastic modulus, peak force, energy absorption, and damage mode of the tube was discussed. The experimental results show that the NPR, peak force, failure mode, and energy absorption of CCHTs can be adjusted by changing the geometric topology of the sinusoidal element. Through the reasonable design of NPR, compared with the equal mass CSHTs, CCHTs could have the comprehensive advantages of relatively high stiffness and strength, enhanced energy absorption, and damage resistance. The results of this paper are expected to be meaningful for the optimization design of tubular structures widely used in mechanical, aerospace, vehicle, biomedical engineering, etc.

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Analysis of temperature-dependent wave propagation for programmable lattices

Cited by 19 publications

References 27 publications

Study on bandgap and directional wave propagation of a two-dimensional lattice with a nested core

Study on bandgap and directional wave propagation of a two-dimensional lattice with a nested core

Bandgap characteristics of the two-dimensional missing rib lattice structure

The 3D-Printed Honeycomb Metamaterials Tubes with Tunable Negative Poisson’s Ratio for High-Performance Static and Dynamic Mechanical Properties

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