Rigid body modeling issue in acoustical topology optimization
Rigid body modeling issue in acoustical topology optimization
复制标题
声学拓扑优化中的刚体建模问题
DOI：
10.1016/j.cma.2008.11.008
复制
发表时间：
2009
影响因子：
7.2
通讯作者：
Y. Kim
中科院分区：
文献类型：
--
作者：
J. W. Lee;Y. Kim
对于基于梯度的声学拓扑优化，对声学介质的声学特性进行插值。虽然模拟刚体的密度和声速的下限值对最终结果的准确性有很大影响，但对这些限值的选择却很少有深入的研究。在本文的第一部分中，通过一个例子说明了适当选择极限值的重要性，表明不适当地选择极限值会导致优化声腔的错误的本征值和本征模。然后，采用两种典型的空气-刚体组合理论模型，研究了功率传递系数对模拟刚体密度和声速的影响。根据理论研究的结果，提出了正确选择模拟刚体密度和声速下限值的指导原则。该准则的有效性将在数值案例研究中得到检验。
For gradient-based acoustical topology optimization, the acoustical properties of an 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 these limit values is rare. In the first part of this work, the importance of the proper choice of the limit values was demonstrated 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.