体积速度匹配分布源边界点法的特解源位置优化方法研究
Research on position optimization of particular solution sources for distributed source boundary point method by volume velocity-matching
-
摘要: 在分布源边界点法中,选择特解源及特解源位置对声场计算的精度具有很大的影响。为减小声场计算的误差,提出了一种确定特解源位置的优化方法。在该方法中,采用三极子作为特解源,以1%体积速度相对误差对结构声辐射计算的上限频率进行预测,然后在计算上限频率范围内通过体积速度匹配搜索,得到体积速度相对误差最小意义下的特解源优化位置,在该优化位置处构造声压与表面体积速度之间的传递矩阵来计算声场,以减小计算误差。数值仿真结果表明:在求取的计算上限频率范围内,特解源处于优化位置时,计算误差得以显著减小。当振速测量存在一定误差时,采用该方法仍可将计算误差控制在5%以内。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.