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ARTICLE
The use of a genetic algorithm in the process of optimizing the shape of a three-dimensional periodic beam
1
Gdansk University of Technology, Digital Technologies Center, Gdansk, Poland
2
Gdansk University of Technology, Department of Biomechatronics, Gdansk, Poland
3
Gdansk University of Technology, Department of Control Engineering, Gdansk, Poland
These authors had equal contribution to this work
Submission date: 2023-11-06
Final revision date: 2024-02-29
Acceptance date: 2024-03-01
Online publication date: 2024-09-04
Publication date: 2024-09-04
Corresponding author
Lukasz Dolinski
Department of Biomechatronics, Gdańsk University of Technology, Narutowicza 11/12, 80-233, Gdańsk, Poland
Department of Biomechatronics, Gdańsk University of Technology, Narutowicza 11/12, 80-233, Gdańsk, Poland
Journal of Theoretical and Applied Mechanics 2024;62(3):601-613
KEYWORDS
TOPICS
ABSTRACT
Mechanical periodic structures exhibit unusual dynamic behavior thanks to the periodicity
of their structures, which can be attributed to their cellular arrangement. The source of
this periodicity may result from periodic variations of material properties within their cells
and/or variations in the cell geometry. The authors present the results of their studies on
the optimization of physical parameters of a three-dimensional axisymetrical periodic beam
in order to obtain the desired vibroacoustic properties. The aim of the optimization process
of the unit cell shape was to obtain band gaps of a given width and position in the frequency
spectrum.
REFERENCES (19)
2.
Brillouin L., 1953, Wave Propagation in Periodic Structures: Electric Filters and Crystal Lattices, 2, Dover Publications.
3.
Chen Y., Zhou S., Li Q., 2010,Multiobjective topology optimization for finite periodic structures, Computers and Structures, 88, 11, 806-811.
4.
Goldberg D.E., Holland J.H., 1988, Genetic algorithms and machine learning, Machine Learning , 3, 95-99.
5.
Halkjær S., Sigmund O., Jensen J.S., 2006, Maximizing band gaps in plate structures, Structural and Multidisciplinary Optimization, 32, 263-275.
6.
Hsu J.-C., 2011, Local resonances-induced low-frequency band gaps in two-dimensional phononic crystal slabs with periodic stepped resonators, Journal of Physics D: Applied Physics, 44, 5, 055401.
7.
Ji W., Chang J., Xu H.-X., Gao J. R., Gröblacher S. et al., 2023, Recent advances in metasurface design and quantum optics applications with machine learning, physics-informed neural networks, and topology optimization methods, Light: Science and Applications, 12, 1.
8.
Lee S.H., Park C.M., Seo Y.M., Wang Z.G., Kim C.K., 2010, Composite acoustic medium with simultaneously negative density and modulus, Physical Review Letters, 104, 5, 054301.
9.
Liu X., Hu G., Sun C., Huang G., 2011, Wave propagation characterization and design of two-dimensional elastic chiral metacomposite, Journal of Sound and Vibration, 330, 11, 2536-2553.
10.
Sigmund O., 1994, Materials with prescribed constitutive parameters: An inverse homogenization problem, International Journal of Solids and Structures, 31, 17, 2313-2329.
11.
Tantikom K., Aizawa T., Mukai T., 2005, Symmetric and asymmetric deformation transition in the regularly cell-structured materials. Part I: Experimental study, International Journal of Solids and Structures, 42, 8, 2199-2210.
12.
Witkowski W., Kuik L., Rucka M., Daszkiewicz K., Andrzejewska A., Łuczkiewicz P., 2021, Medially positioned plate in first metatarsophalangeal joint arthrodesis, PLOS ONE, 16.
13.
Xia L., Breitkopf P., 2015, Multiscale structural topology optimization with an approximate constitutive model for local material microstructure, Computer Methods in Applied Mechanics and Engineering, 286, 147-167.
14.
Xiao Y., Wen J., Wang G., Wen X., 2013, Theoretical and experimental study of locally resonant and Bragg band gaps in flexural beams carrying periodic arrays of beam-like resonators, Journal of Vibration and Acoustics, 135, 4, 041006.
15.
Yang S., Page J.H., Liu Z., Cowan M.L., Chan C.T., Sheng P., 2004, Focusing of sound in a 3D phononic crystal, Physical Review Letters, 93, 024301.
16.
Yu D., Liu Y., Zhao H.,Wang G., Qiu J., 2006, Flexural vibration band gaps in Euler-Bernoulli beams with locally resonant structures with two degrees of freedom, Physical Review B, 73, 064301.
17.
Yu X., Zhou J., Liang H., Jiang Z., Wu L., 2018, Mechanical metamaterials associated with stiffness, rigidity and compressibility: A brief review, Progress in Materials Science, 94, 114-173.
18.
Żak A., Krawczuk M., Palacz M., Doliński L., Waszkowiak W., 2017, High frequency dynamics of an isotropic Timoshenko periodic beam by the use of the time-domain spectral finite element method, Journal of Sound and Vibration, 409, 318-335.
19.
Żak A., Krawczuk M., Redlarski G., Doliński L., Koziel S., 2019, A three-dimensional periodic beam for vibroacoustic isolation purposes, Mechanical Systems and Signal Processing, 130, 524-544.
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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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