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<p>This approach is the first investigation for the vibroacoustic feature of a triply periodic minimal surface (TPMS) sandwich shell of double curvature using numerical and analytical approaches. Compared to single-layer models, predicting the acoustic behavior of the shell systems based on the combination of TPMS foams illustrates the capacity to obtain tunable mechanical and physical features. However, little attention has been paid to their potential for acoustic attenuation. Accordingly, the focus in this approach is on the propagation of a sound wave within a TPMS doubly curved sandwich system (TPMS-DCSS) based on different unit cells of Schoen Gyroid (G), Wrapped package-graph (IWP), and Primitive (P) considering diffuse acoustic field (DAF). The analysis is first established by presenting acoustic pressures as double Fourier series to provide a solution procedure wherein not only the general characteristic equations of the TPMS-DCSS are derived using a higher order theory, but also a strategy is developed through fluid structure coupling. To present the dynamic behavior, in addition to using published data, Finite Element (FE) numerical results are tabulated considering the effects of curvatures and various architectures. Although FE frequency data for a TPMS-DCSS consisting of two radii are feasible, simulating this structure in COMSOL based on sound transmission loss (STL) prediction is impossible because of geometrical and numerical restrictions with PML layers and mesh distortion. To overcome this problem, the numerical STL analysis with the aim of verification approach is performed through a flat model involving no curvature. The results not only present the contour distributions of pressure transmitted within various unit cells of the TPMS foam, but also explore sound efficiency of the structure. Therefore, it is revealed that a TPMS-DCSS can enhance the STL spectrum below the frequency of curvature compared to that of flat one. This either moves the frequency of curvature back or reduces the amount of acoustic penetration into the system while increasing the TPMS thickness.</p>

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Wave propagation numerical simulation approach based on a novel TPMS-based lattice metamaterial for improved vibration transmission of doubly curved sandwich systems

  • 期刊论文

  • 发表日期：

    2025年8月9日

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  • E. Abdoli,
  • M. R. Zarastvand,
  • R. Talebitooti

摘要

This approach is the first investigation for the vibroacoustic feature of a triply periodic minimal surface (TPMS) sandwich shell of double curvature using numerical and analytical approaches. Compared to single-layer models, predicting the acoustic behavior of the shell systems based on the combination of TPMS foams illustrates the capacity to obtain tunable mechanical and physical features. However, little attention has been paid to their potential for acoustic attenuation. Accordingly, the focus in this approach is on the propagation of a sound wave within a TPMS doubly curved sandwich system (TPMS-DCSS) based on different unit cells of Schoen Gyroid (G), Wrapped package-graph (IWP), and Primitive (P) considering diffuse acoustic field (DAF). The analysis is first established by presenting acoustic pressures as double Fourier series to provide a solution procedure wherein not only the general characteristic equations of the TPMS-DCSS are derived using a higher order theory, but also a strategy is developed through fluid structure coupling. To present the dynamic behavior, in addition to using published data, Finite Element (FE) numerical results are tabulated considering the effects of curvatures and various architectures. Although FE frequency data for a TPMS-DCSS consisting of two radii are feasible, simulating this structure in COMSOL based on sound transmission loss (STL) prediction is impossible because of geometrical and numerical restrictions with PML layers and mesh distortion. To overcome this problem, the numerical STL analysis with the aim of verification approach is performed through a flat model involving no curvature. The results not only present the contour distributions of pressure transmitted within various unit cells of the TPMS foam, but also explore sound efficiency of the structure. Therefore, it is revealed that a TPMS-DCSS can enhance the STL spectrum below the frequency of curvature compared to that of flat one. This either moves the frequency of curvature back or reduces the amount of acoustic penetration into the system while increasing the TPMS thickness.