Propagation of elastic waves in metamaterial plates with various lattices for low-frequency vibration attenuation

Auxetic materials and structures have been attracting attention due to their extraordinary mechanical properties that stand out due to their high capacity to absorb energy. Some types of auxetic tubular structures have been studied and designed in diverse engineering fields such as mechanical, aerospace and medical. This manuscript cites more than a hundred papers containing the definitions, designs, structural analyses and optimization, mechanical properties, and specific applications of tubular design of auxetic structures. It can be noted from the present paper that additive manufacturing has been one of the most common manufacturing techniques used in many cases to manufacture tubular structures, and numerical analysis was essential to analyzing the behavior of the structures. The purpose of this paper is to assist researchers and engineers in using the methodology step by step to develop and apply auxetic tubular structures. 

Tubular auxetic structures: A review

Wave propagation characterization of 2D composite chiral lattice structures with circular plate inclusions

Topological optimization of thin elastic metamaterial plates for ultrawide flexural vibration bandgaps

The demand for cellular metamaterials exhibiting multiple desired properties has become increasingly prominent due to the complexity of engineering applications. In this study, a novel dual-functional re-entrant cellular metamaterial is proposed for excellent bandgap characteristics and enhanced energy absorption capacities. A structural evolutionary route of the metamaterial unit cell is developed through the introduction of flexural ligaments and geometric circles, which leads to the achievements in both superior bandgap and enhanced energy absorption. Firstly, the wave propagation characteristics of cellular metamaterials in three evolved configurations are analyzed systematically. Bandgap properties and the generation mechanism are revealed by mode shape analysis. Then, the Q-learning algorithm in reinforcement learning is employed to optimize significant structural parameters of cellular metamaterials to acquire the maximum bandgaps. The certain stability and efficiency of the algorithm are discussed by the evolutionary optimization of metamaterial unit cells with different configurations. Additionally, the energy absorption capacities of metamaterials with optimal microstructure configurations are investigated numerically. Plateau stress and specific absorption energy are compared under various impact velocities, with improved performance observed in the novel cellular metamaterials. The findings of this study offer a promising avenue for advancing the development of dual-functional metamaterials with tailored properties for diverse applications. 

Design and reinforcement-learning optimization of re-entrant cellular metamaterials

In this work, an innovative two-dimensional (2D) hybrid auxetic elastic metamaterial (MODEL I) with reentrant triangular and chiral structures is proposed to open the broaden bandgap for vibration attenuation. Furthermore, the hybrid reentrant-chiral lattice with embedded resonators (MODEL II) shows multiple bandgaps at ultra-low frequency. Based on theoretical lumped mass-in-mass method and finite element method , the bandgap and longitudinal elastic wave attenuation are characterized. There is no complete bandgap in classical reentrant triangular lattice (MODEL 0), while the complete bandgaps width for MODEL I and II account for one forth of the concerned frequency range (0–4500 Hz). What more, the lower boundary of the first bandgap for MODEL II is 56% lower than that of MODEL I. The bandgap formation mechanisms are investigated by analyzing the mode shapes on the dispersion curves , and the frequency-dependent energy flow are studied through the iso-frequency contours, phase and group velocities . Finally, the longitudinal elastic wave attenuation of finite-size lattice of MODEL II illustrates ultra-wide vibration attenuation frequency range in the directional bandgaps. This research provides important clues and theoretical guidance for the design of vibration isolators , beam, plates and other renewed devices.

Vibration characteristics of innovative reentrant-chiral elastic metamaterials

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Vibration characteristics of innovative reentrant-chiral elastic metamaterials