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Topology optimization on the attenuation degree of evanescent waves in periodic pile barriers
Abstract Periodic pile barriers can be used for ambient vibration mitigation owing to their bandgaps. There are no propagating modes in the bandgaps; only evanescent modes exist. The commonly used real band structure cannot be used to identify the evanescent waves. Therefore, the complex band structure becomes significant and can be used to analyze the evanescent modes in the bandgap. Based on the genetic algorithm, both single- and multi-objective topology optimizations were performed to maximize the minimum imaginary part of the wavenumbers at a specified frequency. The results showed that a bandgap can be opened when the minimum imaginary part of the wavenumbers is maximized. The opened bandgap width and filling fraction can affect the degree of wave attenuation in the periodic pile barriers. Both frequency- and time-domain numerical simulations were performed, which validated that the attenuation capability of the periodic pile barriers is related to the minimum imaginary part of the evanescent wavenumbers. We also found that all the optimized pile designs could be classified into three forms, and the mechanisms of their bandgaps were analyzed in detail. The optimized designs exhibited higher levels of wave attenuation than conventional circular or square piles.
Highlights Periodic pile barriers with large attenuation coefficients are proposed. The effect of filling fraction on the attenuation coefficient is revealed. The relation between the bandgap width and the attenuation coefficient is revealed. The effect of material parameters is considered in the topology optimization.
Topology optimization on the attenuation degree of evanescent waves in periodic pile barriers
Abstract Periodic pile barriers can be used for ambient vibration mitigation owing to their bandgaps. There are no propagating modes in the bandgaps; only evanescent modes exist. The commonly used real band structure cannot be used to identify the evanescent waves. Therefore, the complex band structure becomes significant and can be used to analyze the evanescent modes in the bandgap. Based on the genetic algorithm, both single- and multi-objective topology optimizations were performed to maximize the minimum imaginary part of the wavenumbers at a specified frequency. The results showed that a bandgap can be opened when the minimum imaginary part of the wavenumbers is maximized. The opened bandgap width and filling fraction can affect the degree of wave attenuation in the periodic pile barriers. Both frequency- and time-domain numerical simulations were performed, which validated that the attenuation capability of the periodic pile barriers is related to the minimum imaginary part of the evanescent wavenumbers. We also found that all the optimized pile designs could be classified into three forms, and the mechanisms of their bandgaps were analyzed in detail. The optimized designs exhibited higher levels of wave attenuation than conventional circular or square piles.
Highlights Periodic pile barriers with large attenuation coefficients are proposed. The effect of filling fraction on the attenuation coefficient is revealed. The relation between the bandgap width and the attenuation coefficient is revealed. The effect of material parameters is considered in the topology optimization.
Topology optimization on the attenuation degree of evanescent waves in periodic pile barriers
Wang, Xiao (author) / Wan, Shui (author) / Zhou, Peng (author) / Fu, Jundong (author) / Li, Shuli (author)
2023-07-07
Article (Journal)
Electronic Resource
English
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