Topology optimization of acoustic systems with a multiconstrained BESO approach

Evolutionary topology optimization approach to design multiphase soundproof systems with poroelastic media

“…With the examination of previous studies, such as the ones conducted by Pereira et al 29 who designed biphase soundproof systems with pororigid and rigid elements, expressive oscillations are also noticed in those evolutionary processes, especially when rigid elements return to $$$ {\Omega}_d $$$ due to the use of manufacturing constraints. In the current investigation, a similar scenario is observed, that is, there is the introduction, in a discrete manner, of poroelastic materials inside the acoustic design region, leading to fluctuations of the objective function of choice.…”

“…In such density‐based approaches, the MIS can be thought as polynomial functions of continuous 0–1 design variables, having penalty parameters as degrees of the function in order to lead the solution to nearly full‐void configurations. In most cases, as in the works conducted by Dühring et al, 26 Miyata et al, 28 Pereira et al, 29 Lee and Kim, 30 Oh et al 31 and Hu et al, 44 only two different materials were considered in the interpolations, while in the minority of it, as in Yamamoto et al, 39 Yoon 35 and Pereira et al, 33 three materials were investigated, but either providing several different values to penalty variables, which increased the complexity of the approach when treating multiphysics, or considering over‐approximated procedures such as the Delany and Bazley or JCA ones. It is then clear that interactions between multiphysics compositions within enclosed spaces for sound attenuation still need to be further explored, in a way that reduces the intricacies involved in such relations without compromising the accuracy of consolidated literature models.…”

“…Since the pioneering study of Bendsøe and Kikuchi 20 and the later developments of the field regarding the use of continuous 21,22 and discrete design variables, 23,24 Wadbro and Berggren 25 were the first to publish results combining topology optimization approaches with Helmholtz-based systems to enhance the sound radiation characteristics of an acoustic horn. Afterwards, several sound barrier configurations were also investigated, 26,27 as well as rigid/elastic multifunctional metasurfaces, 28,29 mufflers/silencers, [30][31][32][33] poro-rigid systems, [34][35][36] among others. 37,38 Within the field of multiphysics interactions, groundbreaking works have been performed by Yamamoto et al 39 and Lee et al, 40,41 who developed methodologies to avoid boundary tracking along the optimization of poroelastic structures.…”

Observing Material Properties in Composite Structures from Actual Rotations

“…System identification (SI) represents a modeling process for unknown variables in a certain system of equations used in numerous engineering fields [25][26][27]. The SI goal is to be able to characterize adequately the parameters of a certain system.…”

Topology optimization for thermal structures considering design-dependent convection boundaries based on the bidirectional evolutionary structural optimization method

“…Bidirectional evolutionary structural optimization (BESO) methods are also one of the main methods for topology optimization. They have the advantage of good convergence and initialization independence (Radman, 2021) and have been widely used in structural heat transfer (Xia et al, 2018), frequency (Gan and Wang, 2021), acoustics (Pereira et al, 2022) and material microstructure optimization design (Qiao et al, 2019), among others. In addition, BESO-type methods can provide a clear, explicit boundary (Da et al, 2018), which has been employed to solve the transmissible load problem (Fuchs and Moses, 2000;Yang et al, 2005) and the pressure load problem (Picelli et al, 2015(Picelli et al, , 2017.…”