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Article
Engineering, Mechanical
Fei Shen et al.
Summary: A new size distribution law for the truncation areas of fractal surfaces is proposed in this study. The law is determined through numerical investigation of various rough surfaces and validated by fractal surface and realistic rough surface. The results show that the proposed law accurately reproduces the size distribution of the truncation areas for rough surfaces with a wide range of fractal parameters.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Mechanics
Xiaopeng Zhang et al.
Summary: This study proposes a systematic topology optimization method of multi-material acoustic metamaterial to open single and multiple low-frequency bandgaps. The optimization model introduces new objective functions to evaluate the low-frequency bandgaps effectively. By adopting the material-field series expansion (MFSE) technique and the discrete material optimization (DMO) scheme, a clear three-material topology can be determined with only 100 independent design variables. The proposed topology optimization method can effectively provide acoustic metamaterial designs with ultra-wide low-frequency bandgaps and obtain both Bragg scattering and local resonance mechanisms without any additional settings.
COMPOSITE STRUCTURES
(2023)
Article
Mechanics
Atul Kumar Sharma et al.
Summary: Dielectric elastomers are active materials that change modulus under electric fields. Current research focuses on improving the performance of adaptive phononic crystals by utilizing a gradient-based optimization method to maximize band gap width. This new method outperforms traditional metaheuristics-based topology optimization in terms of wider prohibited frequency bands and reduced computational cost.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Aerospace
Chunlei Li et al.
Summary: This paper presents the dispersive behavior and band gap characteristics of a multi-scale periodic composite plate reinforced with graphene platelets (GPLs) and fibers. A semi-analytical approach is proposed for wave analysis, and various parameters are investigated for their effects on wave propagation.
AEROSPACE SCIENCE AND TECHNOLOGY
(2022)
Article
Mechanics
Xuechen Gu et al.
Summary: This paper presents a novel multiscale concurrent topology optimization method for optimizing structures filled with multiple microstructures and connected by solid interfaces. The method proposes optimization techniques at both the macro and micro scales, achieving improved structural performance through solid interface layers and optimizing the distribution of microstructures.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Zhiyuan Jia et al.
Summary: This study proposes a systematic topology optimization method for achieving a frequency-specified self-collimation in phononic crystals. By introducing the weighted slope index of equi-frequency contours as the objective function of the optimization model, describing complex topologies using the material-field series expansion technique, and solving the optimization problem using the Kriging-based algorithm with a self-adaptive strategy, the optimized unit cell designs demonstrate flat equi-frequency contours within larger incident wave angle ranges and achieve the desired nondiffraction propagation characteristics.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Engineering, Mechanical
Nhi H. Vo et al.
Summary: Metaconcrete and meta-truss bar are innovative materials and structures that possess unique characteristics for structural protection. This paper investigates the formation of bandgaps in these structures and provides analysis and design procedures for predicting bandgaps in metamaterials and metastructures.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Engineering, Mechanical
Xiaochun Lu et al.
Summary: Sound and vibration pollution is a common issue in urban areas. This study introduces 3D printed hollow sphere lattice metamaterials to achieve tunable phononic bandgaps. By softening the binders between hollow spheres and keeping the spheres hard, the phononic bandgaps can be modulated and magnified.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Engineering, Mechanical
Qida Lin et al.
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
Jun Jin et al.
Summary: In this study, the size-dependent band structure of a phononic crystal (PnC) was investigated using nonlocal strain gradient theory (NSGT). Numerical simulations showed that as the lattice constant approached the nano-scale, the size effect became more significant and resulted in a narrower band gap. It was also found that the strength of the size effect was mainly influenced by the thickness of the minimum connector.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Computer Science, Artificial Intelligence
J. Adan
Summary: This paper proposes a new hybrid genetic algorithm for the unrelated parallel machine scheduling problem and demonstrates its superiority through a comparative study on large instances. It also highlights the importance of calibration.
JOURNAL OF INTELLIGENT MANUFACTURING
(2022)
Article
Engineering, Mechanical
Dunhui Yao et al.
Summary: This paper proposes a theoretical model of flexural wave bandgaps in locally resonant cylindrical curved shells and investigates a technique for broadband wave mitigation using metamaterial cylindrical curved shells. Utilizing periodic graded arrays technique can effectively broaden the frequency range of bandgaps.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Physics, Applied
Taotao Ding et al.
Summary: This paper proposes a composite phononic crystal (PC) plate for mode conversion of Lamb waves. The mode conversion mechanism of the composite PC plate is systematically investigated through theoretical analysis, numerical simulations, and experimental validation. The results show that the mode conversion is enhanced by decreasing the period number of the antisymmetric PC and increasing that of the symmetric PC. The experimental results are consistent with the numerical simulations, demonstrating the applicability of the proposed composite PC plate in the mode manipulation of Lamb waves for damage detection.
JOURNAL OF APPLIED PHYSICS
(2022)
Review
Mathematics, Applied
Kai Wang et al.
Summary: This review provides an overview of the research on low-frequency band gaps in metamaterials. It categorizes and details different methods for achieving low-frequency band gaps, summarizes various strategies for tuning them, and briefly lists potential applications of this type of metamaterial.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2022)
Article
Engineering, Mechanical
Tian-Xue Ma et al.
Summary: This paper presents a phononic crystal Luneburg lens for harvesting the mechanical energy of Rayleigh surface waves. The lens is formed by a square-latticed phononic crystal with holes drilled periodically in an aluminum matrix. A piezoelectric disk is attached at the focal point of the lens to convert the mechanical energy into electricity. The results show that the electric power outputs of the PnC Luneburg lens harvester are significantly enhanced compared to the reference harvester on a homogeneous aluminum matrix, with an amplification ratio over 14 for both the &UGamma;X and &UGamma;M directions.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Engineering, Mechanical
Haojiang Zhao et al.
Summary: This study focuses on the integrated coupling design of vibration isolation and structure support using topology optimization in order to achieve a macro structure with both high support structure stiffness and lower frequency vibration isolation bandgaps. The results show the topology optimized structures with different mechanisms of bandgaps obtained from the Pareto front.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Engineering, Mechanical
Wenliang Gao et al.
Summary: In this study, a rainbow metamaterial beam embedded with graded arrangement of Acoustic Black Holes (ABHs) is proposed to achieve broadband vibration attenuation. The attenuation bandgaps can be tuned by changing the geometry parameters of ABHs. Rainbow metamaterial beams exhibit a broader attenuation band and better attenuation effect compared to periodic ones.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Acoustics
Yan Li et al.
Summary: In this study, a multiple band gap topological optimization strategy is proposed to design a two-dimensional phononic crystal with multiple band gaps. The optimized designs achieve multifrequency localization effects in in-plane or out-of-plane modes, promoting the application of phononic crystals in energy harvesting technologies.
JOURNAL OF SOUND AND VIBRATION
(2022)
Article
Engineering, Civil
Linwei Zhang et al.
Summary: This study investigates the vibration isolation characteristics and crushing behaviors of novel hierarchical mechanical metamaterials. Numerical analyses are conducted for different hierarchical configurations of mechanical metamaterials. The study finds that the hierarchical configuration has the potential to broaden the band gap and improve energy-absorbing efficiency. The best performing configuration (S3) for vibration isolation and energy absorption is determined. Further analysis of S3's structural parameters is performed to understand their impact on band gap characteristics and crushing performance. Multi-objective optimization is employed to find optimal structural parameters for enhancing the gap-midgap ratio and the specific energy absorption. This study provides effective guidance for designing mechanical metamaterials with excellent vibration isolation capacity and energy absorption efficiency.
ENGINEERING STRUCTURES
(2022)
Article
Acoustics
Gengwang Yan et al.
Summary: The elastic wave propagation characteristics of elastic metamaterial plates with different lattices are explored in this study. The analysis of bandgap formation mechanism and the investigation of influencing factors are also conducted. The results show promising potential of elastic metamaterial plates in low-frequency wave mitigation.
JOURNAL OF SOUND AND VIBRATION
(2022)
Article
Engineering, Civil
Niranjan Chikkanna et al.
Summary: This study investigates the manufacturing and performance optimization of auxetic diamond materials using FFF. The deformation parameters and printing parameters are carefully selected to avoid premature failure. The addition of carbon and glass fiber reinforcements enhances the strength and stiffness of the structure but reduces its energy absorption characteristics.
THIN-WALLED STRUCTURES
(2022)
Article
Engineering, Civil
Shaojun Du et al.
Summary: In this paper, an effective analytical method is developed to investigate the vibration properties of irregular plates with a lumped mass. The accuracy of this method is verified by comparing the results with finite element method (FEM) and vibration experiments. The influences of some parameters on the vibration characteristics of cantilever trapezoidal plates are analyzed.
THIN-WALLED STRUCTURES
(2022)
Article
Engineering, Civil
Shixi Zang et al.
Summary: This study investigated the tensile behavior of a non-rigid square-twist origami structure and established a relationship between its deformation and energy, force, and stiffness curves. An empirical model was developed to predict and tune the mechanical properties of the structure based on its parameters.
THIN-WALLED STRUCTURES
(2022)
Article
Engineering, Civil
Wenjiao Zhang et al.
Summary: This paper presents two novel concepts of hybrid metamaterials, combining a core unit cell of re-entrant or cross-chiral shape with lateral missing ribs. The in-plane mechanical properties of these materials have been investigated using finite element simulations, leading to optimized designs and specific effective properties. Nonlinear simulations and experimental tests have been conducted to understand the behavior of these architectures under large deformations.
THIN-WALLED STRUCTURES
(2021)
Article
Acoustics
Muhammad et al.
Summary: The study investigates a composite trampoline pillar-plate structure that can exhibit an ultrawide local resonance bandgap, reduce plate stiffness and enhance effective mass density, leading to an enlarged local resonance bandgap. Both numerical and experimental results confirm the effectiveness of the structure in attenuating bulk waves over a broad frequency spectrum.
Article
Engineering, Mechanical
Ming Ma et al.
Summary: The study investigates a non-probabilistic reliability-based topological optimization method for the optimized design of two-dimensional phononic crystals' band-gap structure, considering unknown but bounded uncertainty issues from material uncertainty. By defining a measurement metric, design sensitivity expressions, and using the method of moving asymptote, the reliability-oriented band-gap optimization is iteratively solved. The study also verifies the methodology's effectiveness through three examples and the impact of considering uncertainty effect on the final layout scheme is highlighted.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Mechanics
Yingli Li et al.
Summary: An innovative two-dimensional hybrid auxetic elastic metamaterial was proposed for vibration attenuation, with multiple bandgaps at ultra-low frequency. The bandgap and longitudinal elastic wave attenuation were characterized using theoretical and finite element methods. The mechanisms of bandgap formation and frequency-dependent energy flow were investigated through mode shape analysis and iso-frequency contours.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Engineering, Mechanical
Xiaopeng Zhang et al.
Summary: The study introduces a topology optimization methodology for designing narrow passband filters, which can achieve narrow defect bands at specified frequencies. Using this method, various narrow passband filtering supercell configurations with different frequencies can be achieved.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Engineering, Mechanical
Pengcheng Zhao et al.
Summary: This study investigates the band structure and directional characteristics of the hexagonal lattice with Koch snowflake. Results show that with increasing fractal order, the band structure exhibits self-similarity, with more band gaps, and the directional characteristics can further expand the vibration attenuation range.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Engineering, Mechanical
Xiaopeng Zhang et al.
Summary: A systematic topological optimization method based on the MFSE framework was developed for designing full and directional band gap acoustic metamaterials, reducing the number of design variables and enabling optimal band gap design with non-gradient algorithms. The Kriging-based optimization algorithm with a self-adaptive strategy was used to solve the optimization problem effectively, leading to improved propagation properties and orderly material distribution in the optimized designs.
EXTREME MECHANICS LETTERS
(2021)
Article
Acoustics
Vinicius F. Dal Poggetto et al.
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
Rong Zhao et al.
Summary: New relationships are proposed to evaluate velocities in porous materials based on porosity-related bulk and shear moduli. The accuracy of the models is validated through fitting published data and sensitivity analysis, showing higher accuracy compared to existing empirical and theoretical equations. The models have good predictive performance for porous materials with critical porosity, but increased sensitivity should be noted in these cases.
Article
Engineering, Mechanical
Feng-Lian Li et al.
Summary: The study investigates the effects of viscosity on band-gaps of 2D viscoelastic phononic crystals using the DIN map method. The results show that viscosity influences the location and width of the band-gaps, providing an alternative way to adjust the band-gaps of phononic crystals.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Acoustics
Xiangyu Tian et al.
Summary: Perforated elastic metamaterials (EMMs) consisting of periodic holes have gained attention for their simple fabrication and unique physical properties. A novel type of perforated EMMs with two bandgap formation mechanisms has been proposed for low-frequency and broadband wave attenuation. Experiments and numerical analyses demonstrate that this design can create multiple bandgaps in the sub-wavelength frequency domain, including two Bragg bandgaps with a 76% reduced frequency, two overlapping bandgaps dominated by local resonance, and two deaf bands.
JOURNAL OF SOUND AND VIBRATION
(2021)
Article
Acoustics
Nansha Gao et al.
Summary: This study presents a periodic nested acoustic black hole phononic structure and discusses its complex band structures and Bloch wave propagation. The research shows that the acoustic black hole structure has positive application value in vibration reduction design.
Article
Engineering, Multidisciplinary
J. H. Cheng et al.
Summary: This paper presents a hybrid PWE/ES-FEM method for band structures simulation of semi-infinite beam-like phononic crystals. The method uses linear shape functions and spatial Fourier series for field variable approximation, along with edge-based smoothing and GST for strain smoothing. Numerical examples show that the method has higher computational accuracy in band structures simulation of semi-infinite beam-like PCs.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Mechanics
Yanzheng Wang et al.
Summary: This paper investigates the manipulation of guided elastic waves in periodically multilayered elastic plates (PMEPs) through introducing interfacial delaminations. The presence of periodic array of interfacial delaminations (PAIDs) can significantly increase frequency ranges of band-gaps and generate extra band-gaps, especially in the low-frequency ranges. Additionally, the presence of PAIDs can widen the frequency ranges where guided waves can only propagate with a single wave mode.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Engineering, Civil
Minghui Zhang et al.
Summary: In this paper, a quantitative local resonance analysis scheme is proposed for efficient design of three-dimensional (3D) latticed EMMs with broad and complete wave attenuation band at low frequency. This analysis scheme and the EMM structure facilitate the development of structure designs for elastic wave attenuation.
THIN-WALLED STRUCTURES
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Yilin Qu et al.
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V. F. Dal Poggetto et al.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2020)
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Tian-Xue Ma et al.
EXTREME MECHANICS LETTERS
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E. J. P. Miranda Jr et al.
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E. J. P. Miranda et al.
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NEW JOURNAL OF PHYSICS
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