Title: Position optimization of particular solution sources for distributed source boundary point method by volume velocity-matching 

Author: WU Shaowei； XIANG Yang； LI Shengyang； 

Affiliation: School of Energy and Power Engineering, Wuhan University of Technology； Key Laboratory of Marine Power Engineering & Technology, Ministry of Communications； 

Abstract: Choosing particular solution source and its position have great influence on accuracy of sound field prediction in distributed source boundary point method. An optimization method for determining the position of particular solution sources is proposed to get high accuracy prediction result. In this method, tripole is chosen as the particular solution. The upper limit frequency of calculation is predicted by setting 1%volume velocity relative error limit using vibration velocity of structure surface. Then, the optimal position of particular solution sources, in which the relative error of volume velocity is minimum, is determined within the range of upper limit frequency by searching algorithm using volume velocity matching. The transfer matrix between pressure and surface volume velocity is constructed in the optimal position. After that the sound radiation of structure is calculated by the matrix. The results of numerical simulation show that the calculation error is significantly reduced by the proposed method. When there are vibration velocity measurement errors, the calculation errors can be controlled within 5% by the method.