Design and optimization of three-resonator locally resonant metamaterial for impact force mitigation

Li, Q Q; He, Z.C.; Li, Eric; Cheng, Aiguo

doi:10.1088/1361-665x/aad479

Cited by 28 publications

(17 citation statements)

References 49 publications

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“…In addition to the study of MOAT algorithm, another goal of this work is to apply this new proposed algorithm to design the two-dimensional AMs to maximize its attenuation effects [19][20][21] and minimize its structural mass. Previous scholars had made some attempts to use the bio-inspired algorithms to design AMs.…”

Section: Multiple Tree Trunksmentioning

confidence: 99%

Development of a multi-objective artificial tree (MOAT) algorithm and its application in acoustic metamaterials

Chen

et al. 2020

Memetic Comp.

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Although there are many algorithms that can solve the multi-objective optimization problems (MOPs) efficiently, each algorithm has its own disadvantages. The emergence of new algorithms is beneficial to make up the deficiencies of existing algorithms. Inspired by the organic matter transport process and the branch update theory of the banyan, this work proposed a new bio-inspired algorithm, named the multi-objective artificial tree (MOAT) algorithm to solve the MOPs. In MOAT, an improved crossover operator and an improved self-evolution operator are introduced to update solutions, a adaptive grid method is applied to manage the non-dominated solutions, and the strategy of variable number of branches in population is adopted to enhance the accuracy of this algorithm. Many typical test functions and seven well-known multi-objective algorithms, including MOEAD, NSGAII, MOPSO, GDE3, εMOEA, IBEA and MPSO/D, are applied to study the accuracy and efficiency of MOAT.Experimental tests show that the results of MOAT are better than those of the seven algorithms, and the performance of MOAT is demonstrated. In addition, this new algorithm is also applied to solve the MOPs of two-dimensional acoustic metamaterials (AMs). The key parameters of AMs are optimized by MOAT to mitigate impact load and reduce structural mass, and the performance of these AMs is significantly improved.

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Section: Multiple Tree Trunksmentioning

confidence: 99%

Development of a multi-objective artificial tree (MOAT) algorithm and its application in acoustic metamaterials

Chen

et al. 2020

Memetic Comp.

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“…Tan et al [43] achieved a wider bandgap by optimizing the negative effective mass density of a dual-resonator metamaterial. Li et al [44] designed a multiresonator metamaterial for the attenuation of impact waves. They also conducted optimization analysis on the negative effective mass to obtain a wider attenuation region and a better mitigation effect.…”

Section: Introductionmentioning

confidence: 99%

Optimization of a type of elastic metamaterial for broadband wave suppression

Wang

2021

Proc. R. Soc. A.

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The optimal design is studied for a type of one-dimensional dissipative metamaterial to achieve broadband wave attenuation at low-frequency ranges. The complex dispersion analysis is made on a super-cell consisting of multiple mass-in-mass unit cells. An optimization algorithm based on the sequential quadratic programming method is used to design the wave suppression of target frequencies by coupling multiple separate narrow bandgaps into a broad bandgap. A new objective function is proposed in the optimization process for a continuous bandgap. Then, the continuous frequency range with low-wave transmissibility is optimized to achieve the maximal width of bandgap. The stiffness optimization of super-cell gives the broad bandgap from 10 Hz to 22.9 Hz at low-frequency ranges. In addition, numerical simulations are conducted for a type of dissipative metamaterial composed of a finite number of periodicities. The level of vibration isolation can be tuned by adjusting a critical value in the optimization scheme. The wave suppression in the numerical simulation well coincides with the obtained bandgaps and verifies the optimization results.

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“…Huang and Sun [40] and Chen et al [41] investigated metamaterial lattice structures which contained two mass-in-mass systems in each unit. Li et al [42][43][44][45] and Xiao et al [27] designed and optimized various metamaterials with multi-resonators for impact force mitigation. The multiple resonators are found to generate stopbands within multi-frequency ranges.…”

Section: Introductionmentioning

confidence: 99%

Optimal design of rainbow elastic metamaterials

Meng

Chronopoulos

Fabro

et al. 2020

International Journal of Mechanical Sciences

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In this study, we present an optimization scheme for the resonator distribution in rainbow metamaterials that are constitutive of a Π-shaped beam with parallel plate insertions and two sets of spatially varying cantilever-mass resonators. To improve the vibration attenuation of the rainbow metamaterials at frequencies of interest, two optimization strategies are proposed, aiming at minimizing the maximum and average receptance values respectively. Objective functions for both single and multiple frequency ranges optimization are set up with the frequency response functions predicted by an analytical model. The masses of the two sets of resonators clamped at different side walls of the Π-shaped beams constitute the set of design variables. Optimization functions are solved out with the employment of the Genetic Algorithm method. Dedicate case studies are subsequently conducted to show the feasibility of the proposed scheme. The receptance values are found greatly reduced within the single and multiple optimization frequency ranges. Moreover, it is found that, the maximum  Corresponding author.

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Design and optimization of three-resonator locally resonant metamaterial for impact force mitigation

Cited by 28 publications

References 49 publications

Development of a multi-objective artificial tree (MOAT) algorithm and its application in acoustic metamaterials

Development of a multi-objective artificial tree (MOAT) algorithm and its application in acoustic metamaterials

Optimization of a type of elastic metamaterial for broadband wave suppression

Optimal design of rainbow elastic metamaterials

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