Efficient acoustic topology optimization with the Multifrequency Quasi-Static Ritz vector (MQSRV) method

초록

This research develops a new acoustic topology optimization scheme with a model order reduction called the Multifrequency Quasi Static Ritz Vector (MQSRV) method which effectively reduces the size of the system matrix for the calculating responses as well as sensitivity values in frequency domain. Computing the accurate acoustic responses and sensitivity values with the finite element (FE) method usually requires a significant amount of computational resources. For an efficient optimization, this research adopts recent developments in computational model order reduction approach having successfully exploited advanced mathematical development for calculating accurate solutions of partial differential equation. Among model order reduction schemes, the present study uses the MQSRV method which calculates the Ritz vector bases at multiple frequencies to minimize the amplitude of sound pressure in objective domain. Through several design examples, the efficiency and reliability of the MQSRV method for the acoustic topology optimization are verified.

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