Topology optimization of a plate coupled with acoustic cavity

Abstract

Optimization of the topology of a plate coupled with an acoustic cavity is presented in an attempt to minimize the fluid-structure interactions at different structural frequencies. A mathematical model is developed to simulate such fluidstructure interactions based on the theory of finite elements. The model is integrated with a topology optimization approach which utilizes the Moving Asymptotes Method. The obtained results demonstrate the effectiveness of the proposed approach in simultaneously attenuating the structural vibration and the sound pressure inside the acoustic domain at several structural frequencies by proper redistribution of the plate material.The presented topology optimization approach can be an invaluable tool in the design of a wide variety of critical structures which must operate quietly when subjected to fluid loading.

Topology optimization of unsteady incompressible Navier–Stokes flows

“…Currently, the density type method [1,2] and level set method [3][4][5][6] have been developed for implementing of topology optimization. Topology optimization by the density method was first used to design stiffness and compliance mechanisms [7][8][9][10] and has been extended to multiple physical problems, such as acoustic, electromagnetic, fluidic, optical and thermal problems [11][12][13][14][15][16][17]. Topology optimization by the density method for fluidic problems was first researched for Stokes flows [12,18,19] and Darcy-Stokes flows [20,21].…”

A Comparative Study on Acoustic Optimization and Analysis of CLD/Plate in a Cavity Using ESO and GA

“…The locations number of CLD treatments is initialized in a random integer vector as individuals (design variables) in GA. Due to symmetry of the flexible plate, nine and eighteen variables are defined using locations number of CLD material for 25% and 50% rejection ratios and nine variables are defined using locations number at which the CLD materials are not bonded for 75% rejection ratios. As an example shown in Figure 11, for 25%, 50%, and 75% rejection ratios, the individuals are constructed as [1,2,3,10,17,20,23,32,33], [2,4,9,10,12,13,14,15,16,20,22,23,25,28,29,30,32,34], and [1,3,6,15,21,24,26,31,36], respectively.…”

“…Du and Olhoff [12] applied topology optimization to minimize the radiated sound power from bimaterial elastic continuum structures using a solid isotropic material with penalization (SIMP) interpolation model. Akl et al [13] attempted to attenuate the structural vibration and sound pressure simultaneously inside an acoustic cavity by topology optimization of the plate coupled with the cavity. The coupling between the structure and the fluid domains is selected as the objective function.…”

Stress-based topology optimization method for steady-state fluid–structure interaction problems

“…In [24], a new TO method for unsteady incompressible Navier-Stokes flows is developed. In addition, many studies regarding fluid-related problems in TO have been conducted [4,8,[25][26][27][28][29][30]. However, to the best of our knowledge, no study has focused on local stress values in an FSI multiphysics system, and many theoretical and numerical issues still need to be resolved [31][32][33][34][35][36][37][38][39][40][41][42][43].…”