Article
Acoustics
Fanglan Peng, Qichen Wu, Wuhui Pan, Yisheng Zheng, Shilin Xie, Yahong Zhang, Yajun Luo
Summary: This paper proposes a locally resonant metastructure beam that can effectively suppress low/ultra-low-frequency structural vibrations. By using high-static-low-dynamic stiffness resonators and magnetic negative stiffness springs, the metastructure beam achieves vibration suppression in the low-frequency region (f < 10 Hz).
JOURNAL OF VIBRATION AND CONTROL
(2022)
Article
Engineering, Multidisciplinary
Andrea Francesco Russillo, Giuseppe Failla, Gioacchino Alotta
Summary: A novel concept of locally-resonant inertant plate is proposed, which can create a very large band gap in the low-frequency range through periodic inerter-based resonator structures, and it is of significant importance to structural and mechanical engineering applications.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Acoustics
Vinicius F. Dal Poggetto, Alberto L. Serpa
Summary: The development of periodic metamaterials for attenuation of low- and mid-frequency range vibrations has been thoroughly studied. In this paper, a ternary periodic metamaterials made of concentric circular inclusions of a rigid material coated with a soft material is investigated, showing the validity of the Mindlin plate model and its potential practical applications.
JOURNAL OF SOUND AND VIBRATION
(2021)
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, Mechanical
Vinicius Fonseca Dal Poggetto, Jose Roberto de Franca Arruda
Summary: This study focuses on optimizing the spatial distribution of plate properties, particularly the thickness, to widen low-frequency band gaps. By utilizing Kirchhoff's and Mindlin's plate formulations and Fourier series coefficients as optimization variables, feasible solutions were obtained for various minimum and maximum thickness values.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2021)
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
Acoustics
Hongye Ma, Ke Wang, Haifeng Zhao, Chong Zhao, Jing Xue, Chao Liang, Bo Yan
Summary: This paper proposes a tunable local resonance metamaterial with chiral buckling structures for low-frequency vibration isolation. The unit cell consists of the inner and outer buckling stiffness structure, basic structure, and local resonator. The bistability of the unit cells with different initial shapes of beams is investigated and compared. The dynamic responses of the metamaterial with simple unit cells and hybrid supercells are derived and analyzed. The results show that the unit cell with initially convex downward beams has strong bistability and determinate deformation modes. The metamaterial with simple unit cells has tunable and wide band gap and low-frequency vibration isolation. The metamaterial with hybrid supercells can further broaden the band gap width and lower the band gap frequency, which has up to 16 different band gap characteristics.
JOURNAL OF SOUND AND VIBRATION
(2023)
Article
Engineering, Civil
Wei Wang, Qirui Luo, Zhuangzhuang Sun, Bingjie Wang, Shanwen Xu
Summary: This paper investigated seismic behavior of corrugated steel plate shear wall and proposed a new index, in-plane and out-of-plane stiffness ratio, for assessing the matching relationship between out-of-plane and in-plane stiffness. It was found that when the ratio was more than 4.5%, the structure would realize full lateral response under seismic action.
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, Civil
Wenkai Dong, Ting Wang, Zhangkai Huang, Meixia Chen, Qingsheng Li, Wenchao Jia
Summary: In recent years, local resonance metamaterials have gained significant attention for their ability to control low-frequency noise and vibration. This study introduces a new metamaterial plate with double mass membrane-type resonators. Through polynomial fitting and virtual spring method, the natural characteristics of the resonator and the dispersion surfaces of the metamaterial plate are obtained. The results show that the proposed metamaterial plate exhibits multiple band gaps, and parametric analysis reveals that the occurrence and width of the band gaps are closely related to the mass ratio between the resonator and the substrate plate. Furthermore, finite element analysis is conducted to verify the theoretical derivation and demonstrate the effectiveness of the metamaterial plate in vibration control and band gap tuning.
THIN-WALLED STRUCTURES
(2023)
Article
Mathematics, Applied
Wenzheng Que, Xiaodong Yang, Wei Zhang
Summary: A novel metamaterial plate with subwavelength lever-type resonators is proposed to achieve low frequency broadband band gaps and good sound insulation performance. The study shows that increasing the lever ratio shifts the first band gap to lower frequencies and widens the bandwidth. The proposed metamaterial plate with a suitable lever ratio demonstrates better sound insulation performance at low frequencies compared to plates without lever accessories.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2022)
Article
Chemistry, Multidisciplinary
Xinzhu Li, Ignas Lekavicius, Hailin Wang
Summary: In this study, we report the design, fabrication, and characterization of diamond cantilevers attached to a phononic square lattice. We show that the robust protection provided by phononic band gaps significantly increases the mechanical Q-factors, with Q-factors exceeding 106 at frequencies as high as 100 MHz. Temperature-dependent studies reveal that the Q-factors obtained at low temperatures are still limited by materials loss. These high-Q diamond nanomechanical resonators offer a promising hybrid quantum system for spin-mechanics studies.
Article
Materials Science, Multidisciplinary
Lanting Feng, Zhe Liu, Mingfeng Zhu, Yisong Zheng
Summary: The conductivity of ABA-stacked trilayer graphene is smaller than that of monolayer graphene due to strong interband scattering. This is despite the fact that the trilayer graphene has an additional parabolic dispersion band.
Article
Engineering, Multidisciplinary
Yishen Tian, Dengqing Cao, Chao Chen, Xiaoyun Zhang
Summary: In this paper, the nonlinear vibration of a corner-supported rectangular thin panel with high static low dynamic stiffness (HSLDS) isolator supports is investigated. The dynamic model of the panel clamped at corners is established and the frequency equations are derived. The dynamic response of the system is analytically calculated by applying the complexification-averaging method for the first time and verified with numerical and finite element methods. The isolation performance of the system is evaluated and the effects of parameters on optimal design are investigated.
APPLIED MATHEMATICAL MODELLING
(2023)
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
Physics, Applied
Kai Wang, Jiaxi Zhou, Daolin Xu, Huajiang Ouyang
JOURNAL OF PHYSICS D-APPLIED PHYSICS
(2019)
Article
Engineering, Mechanical
Jiaxi Zhou, Lingling Dou, Kai Wang, Daolin Xu, Huajiang Ouyang
NONLINEAR DYNAMICS
(2019)
Article
Physics, Applied
Kai Wang, Jiaxi Zhou, Qiang Wang, Huajiang Ouyang, Daolin Xu
APPLIED PHYSICS LETTERS
(2019)
Article
Engineering, Mechanical
Kai Wang, Jiaxi Zhou, Daolin Xu, Huajiang Ouyang
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2019)
Article
Mechanics
Changqi Cai, Jiaxi Zhou, Linchao Wu, Kai Wang, Daolin Xu, Huajiang Ouyang
COMPOSITE STRUCTURES
(2020)
Article
Engineering, Mechanical
Qiang Wang, Jiaxi Zhou, Daolin Xu, Huajiang Ouyang
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2020)
Article
Engineering, Mechanical
Kai Wang, Jiaxi Zhou, Huajiang Ouyang, Li Cheng, Daolin Xu
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2020)
Article
Engineering, Mechanical
Kai Wang, Jiaxi Zhou, Yaopeng Chang, Huajiang Ouyang, Daolin Xu, Yang Yang
NONLINEAR DYNAMICS
(2020)
Article
Engineering, Mechanical
Yang Yang, Huajiang Ouyang, Yiren Yang, Dengqing Cao, Kai Wang
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2020)
Article
Acoustics
Yaopeng Chang, Jiaxi Zhou, Kai Wang, Daolin Xu
Summary: This paper proposes a quasi-zero-stiffness (QZS) DVA for ultra-low frequency vibration absorption, which is designed using a simple oblique-spring model and verified for its dynamic behavior through the harmonic balance method (HBM) and numerical analyses. Experimental results demonstrate the excellent performance of QZS DVA in absorbing ultra-low frequency vibrations.
JOURNAL OF SOUND AND VIBRATION
(2021)
Article
Engineering, Multidisciplinary
A. A. Aganin, A. I. Davletshin
Summary: A mathematical model of interaction of weakly non-spherical gas bubbles in liquid is proposed in this paper. The model equations are more accurate and compact compared to existing analogs. Five problems are considered for validation, and the results show good agreement with experimental data and numerical solutions. The model is also used to analyze the behavior of bubbles in different clusters, providing meaningful insights.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Hao Wu, Jie Sun, Wen Peng, Lei Jin, Dianhua Zhang
Summary: This study establishes an analytical model for the coupling of temperature, deformation, and residual stress to explore the mechanism of residual stress formation in hot-rolled strip and how to control it. The accuracy of the model is verified by comparing it with a finite element model, and a method to calculate the critical exit crown ratio to maintain strip flatness is proposed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Shengwen Tu, Naoki Morita, Tsutomu Fukui, Kazuki Shibanuma
Summary: This study aimed to extend the finite element method to cope with elastic-plastic problems by introducing the s-version FEM. The s-version FEM, which overlays a set of local mesh with fine element size on the conventional FE mesh, simplifies domain discretisation and provides accurate numerical predictions. Previous applications of the s-version FEM were limited to elastic problems, lacking instructions for stress update in plasticity. This study presents detailed instructions and formulations for addressing plasticity problems with the s-version FEM and analyzes a stress concentration problem with linear/nonlinear material properties.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bo Fan, Zhongmin Wang
Summary: A 3D rotating hyperelastic composite REF model was proposed to analyze the influence of tread structure and rotating angular speed on the vibration characteristics of radial tire. Nonlinear dynamic differential equations and modal equations were established to study the effects of internal pressure, tread pressure sharing ratio, belt structure, and rotating angular speed on the vibration characteristics.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
X. W. Chen, Z. Q. Yue, Wendal Victor Yue
Summary: This paper examines the axisymmetric problem of a flat mixed-mode annular crack near and parallel to an arbitrarily graded interface in functionally graded materials (FGMs). The crack is modeled as plane circular dislocation loop and an efficient solution for dislocation in FGMs is used to calculate the stress field at the crack plane. The analytical solutions of the stress intensity factors are obtained and numerical study is conducted to investigate the fracture mechanics of annular crack in FGMs.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xumin Guo, Jianfei Gu, Hui Li, Kaihua Sun, Xin Wang, Bingjie Zhang, Rangwei Zhang, Dongwu Gao, Junzhe Lin, Bo Wang, Zhong Luo, Wei Sun, Hui Ma
Summary: In this study, a novel approach combining the transfer matrix method and lumped parameter method is proposed to analyze the vibration response of aero-engine pipelines under base harmonic and random excitations. The characteristics of the pipelines are investigated through simulation and experiments, validating the effectiveness of the proposed method.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xiangyu Sha, Aizhong Lu, Ning Zhang
Summary: This paper investigates the stress and displacement of a layered soil with a fractional-order viscoelastic model under time-varying loads. The correctness of the solutions is validated using numerical methods and comparison with existing literature. The research findings are of significant importance for exploring soil behavior and its engineering applications under time-varying loads.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Thuy Dong Dang, Thi Kieu My Do, Minh Duc Vu, Ngoc Ly Le, Tho Hung Vu, Hoai Nam Vu
Summary: This paper investigates the nonlinear torsional buckling of corrugated core sandwich toroidal shell segments with functionally graded graphene-reinforced composite (FG-GRC) laminated coatings in temperature change using the Ritz energy method. The results show the significant beneficial effects of FG-GRC laminated coatings and corrugated core on the nonlinear buckling responses of structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Zhihao Zhai, Chengbiao Cai, Qinglai Zhang, Shengyang Zhu
Summary: This paper investigates the effect of localized cracks induced by environmental factors on the dynamic performance and service life of ballastless track in high-speed railways. A mathematical approach for forced vibrations of Mindlin plates with a side crack is derived and implemented into a train-track coupled dynamic system. The accuracy of this approach is verified by comparing with simulation and experimental results, and the dynamic behavior of the side crack under different conditions is analyzed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
James Vidler, Andrei Kotousov, Ching-Tai Ng
Summary: The far-field methodology, developed by J.C. Maxwell, is utilized to estimate the effective third order elastic constants of composite media containing random distribution of spherical particles. The results agree with previous studies and can be applied to homogenization problems in other fields.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Kim Q. Tran, Tien-Dat Hoang, Jaehong Lee, H. Nguyen-Xuan
Summary: This study presents novel frameworks for graphene platelets reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) plates and investigates their performance through static and free vibration analyses. The results show that the mass density framework has potential for comparing different porous cores and provides a low weight and high stiffness-to-weight ratio. Primitive plates exhibit superior performance among thick plates.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bence Hauck, Andras Szekrenyes
Summary: This study explores several methods for computing the J-integral in laminated composite plate structures with delamination. It introduces two special types of plate finite elements and a numerical algorithm. The study presents compact formulations for calculating the J-integral and applies matrix multiplication to take advantage of plate transition elements. The models and algorithms are applied to case studies and compared with analytical and previously used finite element solutions.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Wu Ce Xing, Jiaxing Wang, Yan Qing Wang
Summary: This paper proposes an effective mathematical model for bolted flange joints to study their vibration characteristics. By modeling the flange and bolted joints, governing equations are derived. Experimental studies confirm that the model can accurately predict the vibration characteristics of multiple-plate structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Pingchao Yu, Li Hou, Ke Jiang, Zihan Jiang, Xuanjun Tao
Summary: This paper investigates the imbalance problem in rotating machinery and finds that mass imbalance can induce lateral-torsional coupling vibration. By developing a model and conducting detailed analysis, it is discovered that mass imbalance leads to nonlinear time-varying characteristics and there is no steady-state torsional vibration in small unbalanced rotors. Under largely unbalanced conditions, both resonant and unstable behavior can be observed, and increasing lateral damping can suppress instability and reduce lateral amplitude in the resonance region.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Yong Cao, Ziwen Guo, Yilin Qu
Summary: This paper investigates the mechanically induced electric potential and charge redistribution in a piezoelectric semiconductor cylindrical shell. The results show that doping levels can affect the electric potentials and mechanical displacements, and alter the peak position of the zeroth-order electric potential. The doping level also has an inhibiting effect on the first natural frequency. These findings are crucial for optimizing the design and performance of cylindrical shell-shaped sensors and energy harvesters.
APPLIED MATHEMATICAL MODELLING
(2024)
