Topology optimization in acoustics and elasto-acoustics via a level-set method. (28th April 2018)

• Record Type: Journal Article
• Authors: Desai, J.; Faure, A.; Michailidis, G.; Parry, G.; Estevez, R.
• Is Part Of: Journal of sound and vibration. Volume 420(2018)
• Page Start: 73
• Page End: 103
• Publication Date: 2018-04-28
• Subjects: Topology optimization -- Shape optimization -- Acoustics -- Elasto-acoustics -- Level-set method; Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2018.01.032
• Languages: English
• ISSNs: 0022-460X

Abstract

Abstract: Optimizing the shape and topology (S&T) of structures to improve their acoustic performance is quite challenging. The exact position of the structural boundary is usually of critical importance, which dictates the use of geometric methods for topology optimization instead of standard density approaches. The goal of the present work is to investigate different possibilities for handling topology optimization problems in acoustics and elasto-acoustics via a level-set method. From a theoretical point of view, we detail two equivalent ways to perform the derivation of surface-dependent terms and propose a smoothing technique for treating problems of boundary conditions optimization. In the numerical part, we examine the importance of the surface-dependent term in the shape derivative, neglected in previous studies found in the literature, on the optimal designs. Moreover, we test different mesh adaptation choices, as well as technical details related to the implicit surface definition in the level-set approach. We present results in two and three-space dimensions.