Article
Engineering, Mechanical
Qida Lin, Jiaxi Zhou, Kai Wang, Daolin Xu, Guilin Wen, Qiang Wang, Changqi Cai
Summary: This paper develops a novel type of 2D locally resonant metamaterials with quasi-zero stiffness in both horizontal and vertical directions. The QZS property is achieved through design optimization of the elastic elements of the resonator. Theoretical models and analysis reveal the formation mechanism of the band gap attributed to local resonance and the effects of pre-compression and added mass on the starting frequency of the complete band gap. This study provides insights for achieving low-frequency complete band gap regardless of the incident direction of in-plane wave.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Engineering, Mechanical
Jiaxi Zhou, Hongbin Pan, Changqi Cai, Daolin Xu
Summary: This study designed a one-dimensional metamaterial for attenuating ultra-low frequency waves, achieving quasi-zero stiffness through optimized configuration with adjustable band gap structure. Results show that band gap can be tuned by changing pre-compression, enabling attenuation of ultra-low frequency waves.
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2021)
Article
Mechanics
Qida Lin, Jiaxi Zhou, Kai Wang, Daolin Xu, Guilin Wen, Qiang Wang
Summary: This paper introduces a new class of three-dimensional locally resonant (LR) metamaterials with quasi-zero stiffness (QZS) property. The monolithic QZS property is achieved by optimizing the three-dimensional resonator. The characteristics of wave propagation in the proposed 3D QZS metamaterial are investigated and a lumped-mass-spring model is developed to derive the dispersion relation. The study reveals the formation mechanism of low-frequency complete band gap and suggests a feasible approach for opening a low-frequency and wide complete band gap.
COMPOSITE STRUCTURES
(2023)
Article
Engineering, Mechanical
Zeyi Li, Kai Wang, Tingting Chen, Li Cheng, Daolin Xu, Jiaxi Zhou
Summary: This study proposes the use of shape memory alloys (SMAs) to achieve temperature-controlled quasi-zero-stiffness (TC-QZS) metamaterial beam. The TC-QZS resonator can effectively neutralize the positive stiffness mechanism and adjust the neutralization based on temperature changes, resulting in a broad-range tunability of the resonant frequency.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Physics, Multidisciplinary
Xu Qiang-Rong, Shen Cheng, Han Feng, Lu Tian-Jian
Summary: A novel local resonant acoustic metamaterial plate with quasi-zero stiffness is proposed for effective broadband insulation of sound at low frequencies. Numerical simulations and experimental measurements demonstrate that the metastructure exhibits great insulation performance around the local resonance frequency, achieving a transmission loss of 30 dB around 10 Hz. The physical mechanism behind its superior insulation performance is explored through analysis of equivalent mass density, reflection coefficient, and acoustic impedance ratio.
ACTA PHYSICA SINICA
(2021)
Article
Acoustics
Buliang Xie, Meiping Sheng, Minqing Wang, Zhiwei Guo, Shuai Wang, Qiaojiao Li
Summary: In this study, ultralow-frequency band gaps are achieved to suppress the propagation of ultralow-frequency flexural waves by designing beams with periodically attached quasi-zero-stiffness (QZS) resonators. The study investigates the effect of stiffness ratio on the bandgap characteristic and demonstrates that the band gaps can be easily transferred to lower or even ultralow frequencies without weakening the static stiffness of the resonators. Furthermore, the study explores the flexural wave propagation in locally resonant beams consisting of multiple periodic arrays of QZS resonators and shows that differential design of bandgap frequencies can be easily realized to obtain broadband flexural wave suppression performance.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Engineering, Civil
Changqi Cai, Jiaxi Zhou, Kai Wang, Qida Lin, Daolin Xu, Guilin Wen
Summary: A novel metamaterial pipe with attached compliant quasi-zerostiffness (QZS) resonators is proposed to attenuate low-frequency wave in pipes. The compliant resonator with twelve compliant multi-segment curved beams is designed to achieve quasi-zero stiffness. Theoretical investigations using the transfer matrix method (TMM) show the dispersion relation and reveal the band gap of the QZS metamaterial pipe. Numerical analysis using the finite element model confirms the wave attenuation performance of the metamaterial pipe in the low-frequency band gap.
ENGINEERING STRUCTURES
(2023)
Article
Engineering, Mechanical
Jun -Young Jang, Kyungjun Song
Summary: This study developed a synergetic soundproofing acoustic metamaterial (SSAM) that can simultaneously block low-frequency and broadband noise by utilizing a membrane and locally resonant structure (LRS). The soundproofing mechanism and performance of the SSAM were clarified and validated through impedance models and simulations. The experimental results show that SSAMs can provide excellent low-frequency and broadband sound insulation.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Mechanics
Andrea Francesco Russillo, Giuseppe Failla
Summary: The study introduces a novel dynamic-stiffness formulation for analyzing the dynamics of locally resonant metamaterial plates. The method accurately calculates the natural frequencies and modal responses of the plates, providing closed analytical forms for modal responses under arbitrary loading conditions assuming classical damping. The comparison with finite-element results in ABAQUS demonstrates the accuracy and effectiveness of the proposed reduced-order dynamic-stiffness formulation.
COMPOSITE STRUCTURES
(2022)
Article
Chemistry, Multidisciplinary
Andrea Francesco Russillo, Giuseppe Failla, Ada Amendola, Raimondo Luciano
Summary: This paper focuses on the free vibrations of locally resonant metamaterial plates with viscously damped resonators. A dynamic-stiffness model is formulated and a contour-integral algorithm is used to calculate the complex eigenvalues with remarkable computational efficiency. The results are important for the design and investigation of wave attenuation properties of metamaterial plates.
Article
Acoustics
Buliang Xie, Meiping Sheng
Summary: A multi-resonator periodic hybrid structure with an ultralow-frequency band gap is proposed, where the band gaps can be flexibly shifted to lower frequency thanks to the introduction of quasi-zero-stiffness (QZS) mechanical systems. The structure exhibits negative stiffness and negative mass properties in certain frequency ranges, and demonstrates the ability to suppress the propagation of ultralow-frequency elastic waves effectively.
Article
Engineering, Mechanical
Changqi Cai, Jiaxi Zhou, Kai Wang, Hongbin Pan, Dongguo Tan, Daolin Xu, Guilin Wen, John E. Mottershead
Summary: This paper proposes a novel metamaterial beam with an embedded quasi-zero-stiffness resonator to achieve wave attenuation in very low-frequency band gaps. The configuration of the quasi-zero-stiffness resonator is developed using compliant mechanism with design optimization, and the characteristic of quasi zero stiffness is achieved by proper pre-compression. The dispersion relations of the metamaterial beam are derived using the transfer matrix method, and the dynamic responses of the beam are obtained using the spectral element method to evaluate the transmittance of the flexural wave. Experimental investigation verifies the formation mechanism of the band gaps, demonstrating very low-frequency band gaps. Therefore, the QZS metamaterial beam holds promise for low wave attenuation.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Acoustics
Changqi Cai, Jiaxi Zhou, Kai Wang, Daolin Xu, Guilin Wen
Summary: In this study, a novel metamaterial plate with attached compliant quasi-zero-stiffness resonators is proposed to achieve wave attenuation at ultra-low frequencies. The theoretical investigations and experimental results demonstrate that the QZS metamaterial plate exhibits excellent attenuation in the ultra-low-frequency band gaps.
JOURNAL OF SOUND AND VIBRATION
(2022)
Article
Engineering, Multidisciplinary
L. Liu, A. Sridhar, M. G. D. Geers, V. G. Kouznetsova
Summary: The computational homogenization method presented in this work is tailored for modeling wave propagation phenomena in LRAM panels, showing high accuracy and numerical efficiency.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Materials Science, Multidisciplinary
Kenny L. S. Yip, Sajeev John
Summary: Locally resonant acoustic materials are proposed for sound control by using resonant oscillators consisting of heavy mass within a light shell embedded in foam. The effective, frequency-dependent mass densities of these oscillators are derived and used to evaluate the acoustic band structure in two dimensions. The accuracy of the results is validated by comparing with exact solutions obtained through numerical simulations.
