Rigid body modeling issue in acoustical topology optimization
Date of this Version2009
This document has been peer-reviewed.
For gradient-based acoustical topology optimization, the acoustical properties of in acoustic medium are interpolated. Although the lower limit values of the density and sound speed simulating a rigid body, affect the accuracy of the final results significantly, an in-depth Study on the selection of thew limit val Lies is rare. In the first part of this work, the importance of the proper choice of the limit values was, dem onstrated with an example to show that improperly-selected limit values can result in erroneous eigenvalues and eigenmodes of an optimized acoustic cavity. Then, by using two theoretical models representing typical air-rigid body configurations, the effects of the density and sound speed values of a simulated rigid body were investigated by the power transmission coefficient. From the findings of the theoretical investigation, a guideline for properly selecting the low limit values of the density and sound speed of a simulated rigid body is suggested. The validity of the guideline will be checked in numerical case studies.
Nanoscience and Nanotechnology