Flexural wave attenuation by metamaterial beam with compliant quasi-zero-stiffness resonators

Cai, Changqi; Zhou, Jiaxi; Wang, Kai; Pan, Hongbin; Tan, Debao; Xu, Daolin; Wen, Guilin

doi:10.1016/j.ymssp.2022.109119

Cited by 71 publications

(9 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…14,15 Among recent studies, it is worth mentioning the application of finite element (FEM) analysis, 16,17 ad hoc analytical methods, 18,19,20 simplified models for periodic systems, 21,22 exploitation of nonlinearities for enhanced or unusual performance, 23,24,25,26,27 and experimental campaigns. 28,29,30 A huge number of lattice structures and resonator architectures have been proposed for wave propagation control, including the quasi-zero-stiffness metamaterial beam 31 for LF flexural wave control, along the lines found in a wide literature, 32,33,34,35 The quasi-zero-stiffness metamaterial beam incorporated compact compliant structures, consisting of a combination of four multi-segment beams in parallel, instead of space-demanding mechanisms within the resonator. A metamaterial beam with nonlinear (cubic) multiresonators was proposed by Casalotti et al 36 The formation of multiple bandgaps was demonstrated together with the significant enlargement of the bandgaps thanks to the nonlinear frequency modulation with the amplitude.…”

Section: Introductionmentioning

confidence: 99%

A multi-bandgap metamaterial with multi-frequency resonators

Murer

Guruva

Formica

et al. 2023

Journal of Composite Materials

View full text Add to dashboard Cite

A 2D metamaterial cellular system inspired by lightweight honeycombs and spider webs is investigated. The hexagonal cells of the honeycomb act as hosting substructures for spider-web-like or cantilever resonators with added lumped masses which can vibrate, in principle, in any of the infinitely many modes. Contrary to traditional approaches utilizing discrete mass-spring resonators, here the infinite-dimensional (full spectrum) resonators are intentionally tailored to generate multiple, complete or incomplete, stop bands across which wave propagation is either totally or partially suppressed along preferential directions. The Plane Wave Expansion method is employed to obtain the dispersion curves and the bandgap sensitivity with respect to the design parameters. Experimental results based on laser scanning vibrometry corroborate the theoretical predictions and confirm the robustness of the stop band behavior with a wealth of results which pave the way towards suitable optimization strategies and a closer understanding of these formidable stop band cellular material systems.

show abstract

Section: Introductionmentioning

confidence: 99%

A multi-bandgap metamaterial with multi-frequency resonators

Murer

Guruva

Formica

et al. 2023

Journal of Composite Materials

View full text Add to dashboard Cite

show abstract

“…Early studies on acoustic metamaterials are mainly concentrated on the band gap formation mechanisms and low-frequency broadband properties (Cai et al, 2022; El-Borgi et al, 2020; Goh and Kallivokas, 2020; Li et al, 2017; Pai et al, 2014; Van Belle et al, 2019; Wen et al, 2020). Xiao et al (2011) proposed a simple locally resonant continuous elastic system and provided analytical models with explicit formulations involving non-dimensional parameters to understand the underlying physics.…”

Section: Introductionmentioning

confidence: 99%

Vibration transmission characteristic prediction and structure inverse design of acoustic metamaterial beams based on deep learning

Chen

et al. 2023

Journal of Vibration and Control

View full text Add to dashboard Cite

In this paper, an intelligent prediction and design method of acoustic metamaterial beams based on deep learning is presented. A theoretical model of acoustic metamaterial beams is derived by using the spectral element method to calculate the band structure and transmission characteristic of beam-type acoustic metamaterial. A high-degree-of-freedom design space dataset of band structure and transmission characteristics is constructed. In addition, the vibration transmission characteristics of acoustic metamaterial beams are predicted and the on-demand inverse design of acoustic metamaterial beams is realized by constructing a fully connected deep learning neural network model. Furthermore, the forward prediction and reverse design network model is verified by using the autoencoder neural network model. Results show that the predicted value of the autoencoder neural network structure is in good agreement with the target value, which indicates the feasibility of the intelligent design method of acoustic metamaterials based on deep learning. The presented intelligent design method could be potentially utilized in the field of fast and efficient acoustic metamaterial design for low frequency vibration isolation in engineering structures.

show abstract

“…Zhao et al [34] refined the three-spring structure by using two pairs of oblique springs instead of one pair in the previous design to increase the quasi-zero stiffness region, thus improving the isolation performance. Other QZS structures [35][36][37][38][39][40][41] have also been developed, for instance, Zhou et al [42] proposed a QZS system based on the mechanism of cam-roller-spring; Liu et al [43] reported a structure that parallels a linear spring with the Euler buckled beams; Shaw et al [44] presented a design consisting of linear springs in parallel with the transverse flexure of a composite bistable plate.…”

Section: Introductionmentioning

confidence: 99%

A new magnetorheological quasi-zero stiffness vibration isolation system with large zero stiffness range and highly stable characteristics

Deng

Sun

et al. 2023

Preprint

View full text Add to dashboard Cite

Various quasi-zero stiffness (QZS) systems have been developed and applied in the vibration control domain in recent years. However, most QZS systems are usually unstable against external disturbances, and the QZS ranges of them are very limited. To address the above issues, this study develops a highly stable QZS vibration isolation system integrated with magnetorheological fluids (MRFs). The MRFs endow the vibration isolation system with stiffness variability in vertical and lateral directions against external disturbances, which innovatively solves the unstable problem of the QZS system. Meanwhile, the stiffness variability also makes the system adaptable to vibrations with different frequencies, so the system can deliver the best vibration isolation performance in response to various excitations. The system consists of a vertical isolation unit and a lateral isolation unit. Through paralleling a nonlinear positive stiffness QZS component with a nonlinear negative stiffness QZS component in the vertical isolation unit, a large QZS range in the vertical direction and smaller stiffness are realised, thus improving the vibration isolation performance. In this study, the vibration isolation system is designed and prototyped; its QZS characteristics and adjustable stiffness features in both the vertical and lateral directions are experimentally verified; the frequency responses of the system are obtained experimentally; the stability and the vibration isolation performance of the system are also evaluated by experiments. This study provides a solution to overcome the unstable problem of QZS systems and extend the limited QZS range, whilst realising QZS characteristics in both vertical and lateral directions, thus broadening the application of QZS systems.

show abstract

Flexural wave attenuation by metamaterial beam with compliant quasi-zero-stiffness resonators

Cited by 71 publications

References 51 publications

A multi-bandgap metamaterial with multi-frequency resonators

A multi-bandgap metamaterial with multi-frequency resonators

Vibration transmission characteristic prediction and structure inverse design of acoustic metamaterial beams based on deep learning

A new magnetorheological quasi-zero stiffness vibration isolation system with large zero stiffness range and highly stable characteristics

Contact Info

Product

Resources

About