Multi-objective topology optimization of periodic pile barriers with ambient body waves isolation performance

References

• J. Avilés, and F.J. Sánchez‐Sesma, Foundation isolation from vibrations using piles as barriers, J. Eng. Mech., vol. 114, no. 11, pp. 1854–1870, 1988. DOI: 10.1061/(ASCE)0733-9399(1988)114:11(1854).
   Web of Science ®Google Scholar
• G. Gao, Z. Li, C. Qiu, and Z. Yue, Three-dimensional analysis of rows of piles as passive barriers for ground vibration isolation, Soil Dyn. Earthq. Eng., vol. 26, no. 11, pp. 1015–1027, 2006. DOI: 10.1016/j.soildyn.2006.02.005.
   Web of Science ®Google Scholar
• F.E. Richart, J.R. Hall, and R.D. Woods, Vibrations of soils and foundations, 1970.
   Google Scholar
• Y. Cai, G. Ding, and C. Xu, Screening of plane S waves by an array of rigid piles in poroelastic soil, J. Zhejiang Univ. Sci. A., vol. 9, no. 5, pp. 589–599, 2008. DOI: 10.1631/jzus.A071494.
   Web of Science ®Google Scholar
• P. Tsai, Z. Feng, and T. Jen, Three-dimensional analysis of the screening effectiveness of hollow pile barriers for foundation-induced vertical vibration, Comput. Geotech., vol. 35, no. 3, pp. 489–499, 2008. DOI: 10.1016/j.compgeo.2007.05.010.
   Web of Science ®Google Scholar
• Y. Cai, G. Ding, and C. Xu, Amplitude reduction of elastic waves by a row of piles in poroelastic soil, Comput. Geotech., vol. 36, no. 3, pp. 463–473, 2009. DOI: 10.1016/j.compgeo.2008.08.015.
   Web of Science ®Google Scholar
• C. Albino, L. Godinho, P. Amado-Mendes, P. Alves-Costa, D. Dias-da-Costa, and D. Soares, 3D FEM analysis of the effect of buried phononic crystal barriers on vibration mitigation, Eng. Struct., vol. 196, pp. 109340, 2019. DOI: 10.1016/j.engstruct.2019.109340.
   Web of Science ®Google Scholar
• C. Li, L. Miao, Q. You, H. Fang, X. Liang, and L. Lei, Effects of material parameters on the band gaps of two-dimensional three-component phononic crystals, Appl. Phys. A., vol. 125, no. 3, pp. 170, 2019. DOI: 10.1007/s00339-019-2448-5.
   Web of Science ®Google Scholar
• Z. Liu, X. Zhang, Y. Mao, Y.Y. Zhu, Z. Yang, C.T. Chan, and P. Sheng, Locally resonant sonic materials, Science., vol. 289, no. 5485, pp. 1734–1736, 2000. DOI: 10.1126/science.289.5485.1734.
   PubMed Web of Science ®Google Scholar
• Z. Cheng, and Z. Shi, Novel composite periodic structures with attenuation zones, Eng. Struct., vol. 56, pp. 1271–1282, 2013. DOI: 10.1016/j.engstruct.2013.07.003.
   Web of Science ®Google Scholar
• J. Huang, W. Liu, and Z. Shi, Surface-wave attenuation zone of layered periodic structures and feasible application in ground vibration reduction, Constr. Build Mater., vol. 141, pp. 1–11, 2017. DOI: 10.1016/j.conbuildmat.2017.02.153.
   Web of Science ®Google Scholar
• T.T. Huang, X. Ren, Y. Zeng, Y. Zhang, C. Luo, X.Y. Zhang, and Y.M. Xie, Based on auxetic foam: A novel type of seismic metamaterial for Lamb waves, Eng. Struct., vol. 246, pp. 112976, 2021. DOI: 10.1016/j.engstruct.2021.112976.
   Web of Science ®Google Scholar
• L. Lei, L. Miao, C. Li, X. Liang, and J. Wang, Locally resonant periodic wave barriers for vibration isolation in subway engineering, KSCE J. Civ. Eng., vol. 25, no. 4, pp. 1239–1251, 2021. DOI: 10.1007/s12205-021-1097-3.
   Web of Science ®Google Scholar
• C. Liu, and G. Yu, Deep learning-based topology design of periodic barrier for full-mode waves, Constr. Build Mater., vol. 314, pp. 125579, 2022. DOI: 10.1016/j.conbuildmat.2021.125579.
   Web of Science ®Google Scholar
• X. Liu, Z. Shi, Y.L. Mo, and Z. Cheng, Effect of initial stress on attenuation zones of layered periodic foundations, Eng. Struct., vol. 121, pp. 75–84, 2016. DOI: 10.1016/j.engstruct.2016.04.049.
   Web of Science ®Google Scholar
• W. Witarto, S.J. Wang, C.Y. Yang, J. Wang, Y.L. Mo, K.C. Chang, and Y. Tang, Three-dimensional periodic materials as seismic base isolator for nuclear infrastructure, AIP Adv., vol. 9, no. 4, pp. 045014, 2019. DOI: 10.1063/1.5088609.
   Web of Science ®Google Scholar
• K. Zhang, J. Luo, F. Hong, and Z. Deng, Seismic metamaterials with cross-like and square steel sections for low-frequency wide band gaps, Eng. Struct., vol. 232, pp. 111870, 2021. DOI: 10.1016/j.engstruct.2021.111870.
   Web of Science ®Google Scholar
• P. Zhou, S. Wan, X. Wang, Y. Zhu, and M. Huang, A periodic seismic isolation foundation with an extremely broad low-frequency attenuation zone: Theoretical analysis and experimental verification, Adv. Struct Eng., vol. 25, no. 3, pp. 625–641, 2022. DOI: 10.1177/13694332211064665.
   Web of Science ®Google Scholar
• J. Huang, and Z. Shi, Application of periodic theory to rows of piles for horizontal vibration attenuation, Int. J. Geomech., vol. 13, no. 2, pp. 132–142, 2013. DOI: 10.1061/(ASCE)GM.1943-5622.0000193.
   Web of Science ®Google Scholar
• X. Liu, Z. Shi, H. Xiang, and Y.L. Mo, Attenuation zones of periodic pile barriers with initial stress, Soil Dyn. Earthq. Eng., vol. 77, pp. 381–390, 2015. DOI: 10.1016/j.soildyn.2015.06.010.
   Web of Science ®Google Scholar
• Z. Shi, Y. Wen, and Q. Meng, Propagation attenuation of plane waves in saturated soil by pile barriers, Int. J. Geomech., vol. 17, no. 9, pp. 04017053, 2017. DOI: 10.1061/(ASCE)GM.1943-5622.0000963.
   Web of Science ®Google Scholar
• M. Ma, B. Jiang, J. Gao, and W. Liu, Experimental study on attenuation zone of soil-periodic piles system, Soil Dyn. Earthq. Eng., vol. 126, pp. 105738, 2019. DOI: 10.1016/j.soildyn.2019.105738.
   Web of Science ®Google Scholar
• X. Pu, Q. Meng, and Z. Shi, Experimental studies on surface-wave isolation by periodic wave barriers, Soil Dyn. Earthq. Eng., vol. 130, pp. 106000, 2020. DOI: 10.1016/j.soildyn.2019.106000.
   Web of Science ®Google Scholar
• H. Dong, X. Su, Y. Wang, and C. Zhang, Topological optimization of two-dimensional phononic crystals based on the finite element method and genetic algorithm, Struct Multidisc Optim., vol. 50, no. 4, pp. 593–604, 2014. DOI: 10.1007/s00158-014-1070-6.
   Web of Science ®Google Scholar
• M. Li, Z. Cheng, G. Jia, and Z. Shi, Dimension reduction and surrogate based topology optimization of periodic structures, Compos. Struct., vol. 229, pp. 111385, 2019. DOI: 10.1016/j.compstruct.2019.111385.
   Web of Science ®Google Scholar
• O. Sigmund, and J.S. Jensen, Systematic design of phononic band-gap materials and structures by topology optimization, Philos. Trans. A Math Phys Eng Sci., vol. 361, no. 1806, pp. 1001–1019, 2003. DOI: 10.1098/rsta.2003.1177.
   PubMed Web of Science ®Google Scholar
• X. Wang, S. Wan, P. Zhou, L. Zhou, and Y. Zhu, Topology optimization of periodic pile barriers and its application in vibration reduction for plane waves, Soil Dyn. Earthq. Eng., vol. 153, pp. 107119, 2022. DOI: 10.1016/j.soildyn.2021.107119.
   Web of Science ®Google Scholar
• P. Zhou, S. Wan, X. Wang, J. Fu, and J. Shen, Novel periodic pile barriers in saturated soil and applications to propagation attenuation of shear plane waves, Comput. Geotech., vol. 150, pp. 104925, 2022. DOI: 10.1016/j.compgeo.2022.104925.
   Web of Science ®Google Scholar
• H. Dong, X. Su, and Y. Wang, Multi-objective optimization of two-dimensional porous phononic crystals, J. Phys. D: Appl. Phys., vol. 47, no. 15, pp. 155301, 2014. DOI: 10.1088/0022-3727/47/15/155301.
   Web of Science ®Google Scholar
• W. Xu, J. Ning, Z. Lin, W. Qi, H. Liu, and W. Wang, Multi-objective topology optimization of two-dimensional multi-phase microstructure phononic crystals, Mater. Today Commun., vol. 22, pp. 100801, 2020. DOI: 10.1016/j.mtcomm.2019.100801.
   Web of Science ®Google Scholar
• Z. Liu, H. Dong, and G. Yu, Topology optimization of periodic barriers for surface waves, Struct Multidisc Optim., vol. 63, no. 1, pp. 463–478, 2021. DOI: 10.1007/s00158-020-02703-3.
   Web of Science ®Google Scholar
• M.S. Kushwaha, P. Halevi, G. Martinez, L. Dobrzynski, and B. Djafari-Rouhani, Theory of acoustic band structure of periodic elastic composites, Phys. Rev B Condens Matter., vol. 49, no. 4, pp. 2313–2322, 1994. DOI: 10.1103/PhysRevB.49.2313.
   PubMed Web of Science ®Google Scholar
• N. Srinivas, and K. Deb, Muiltiobjective optimization using nondominated sorting in genetic algorithms, Evol. Comput., vol. 2, no. 3, pp. 221–248, 1994. DOI: 10.1162/evco.1994.2.3.221.
   Web of Science ®Google Scholar
• K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, A fast and elitist multiobjective genetic algorithm: NSGA-II, IEEE Trans. Evol. Computat., vol. 6, no. 2, pp. 182–197, 2002. DOI: 10.1109/4235.996017.
   Web of Science ®Google Scholar
• K. Qiu, and J. Jin, Multiobjective optimization of two-dimensional phononic bandgap materials and structures using genetic algorithms, Int. J. Comput. Method., vol. 18, no. 06, pp. 2140002, 2021. DOI: 10.1142/S0219876221400028.
   Web of Science ®Google Scholar
• T.G. Gutowski, and C.L. Dym, Propagation of ground vibration: A review, J. Sound Vibr., vol. 49, no. 2, pp. 179–193, 1976. DOI: 10.1016/0022-460X(76)90495-8.
   Web of Science ®Google Scholar
• M. Ma, B. Jiang, W. Liu, and K.J.S. Liu, Control of metro train-induced vibrations in a laboratory using periodic piles, Sustainability, vol. 12, no. 14, pp. 5871, 2020. DOI: 10.3390/su12145871.
   Google Scholar
• Q. Meng, and Z. Shi, Propagation attenuation of plane waves in single-phased soil by periodic pile barriers, Int J Geomech., vol. 18, no. 6, pp. 04018035, 2018. DOI: 10.1061/(ASCE)GM.1943-5622.0001157.
   Web of Science ®Google Scholar