Response variance prediction for uncertain vibro-acoustic systems using a hybrid deterministic-statistical method
Response variance prediction for uncertain vibro-acoustic systems using a hybrid deterministic-statistical method
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DOI：
10.1121/1.2799499
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发表时间：
2007-12-01
影响因子：
2.4
通讯作者：
Cotoni, V.
中科院分区：
文献类型：
--
作者：
Langley, R. S.;Cotoni, V.
制造过程中的缺陷可能会导致名义上相同的结构所表现出的噪声和振动水平的显著变化。在设计过程中使用的任何响应计算都应该理想地考虑到这些不确定性，并预测性能的预期范围。最近，已经开发了一种混合方法来预测组合系统的总体平均响应，方法是将系统部分的确定性模型与其他组件的统计模型相结合[Short，P.J.，and Langley，R.S.(2005)J.Sound。VIB.，288,669-700]。本文将该方法推广到预测响应的系列方差。导出了统计分量中振动能量的方差和确定性分量响应的交叉谱的方差的表达式，它们增加了原理论所预测的这些量的平均值。该方法采用了非参数不确定性模型，即采用统计分量来携带扩散波场，从而避免了对系统不确定性的详细描述。通过对一系列耦合板结构的应用验证了该方法的有效性，并与详细的蒙特卡罗模拟结果吻合较好。(C)2007年美国声学学会。
Imperfections during the manufacturing process can cause significant variations in the noise and vibration levels exhibited by nominally identical structures. Any response calculations employed during the design process should ideally take account of these uncertainties and predict the expected range in performance. Recently a hybrid method has been developed to predict the ensemble average response of a built-up system by combining a deterministic model of parts of the system with a statistical model of other components [Shorter, P. J., and Langley, R. S. (2005) J. Sound. Vib., 288, 669-700]. In this paper the method is extended to predict the ensemble variance of the response. Expressions are derived for the variance of the vibrational energies in the statistical components, and for the variance of the cross spectrum of the response of the deterministic components, which augment the mean values of these quantities predicted by the original theory. The method employs a nonparametric model of uncertainty, in the sense that the statistical components are taken to carry diffuse wave fields, and this obviates the requirement for a detailed description of the system uncertainties. The method is validated by application to a range of coupled plate structures, and good agreement with detailed Monte Carlo simulations is found. (c) 2007 Acoustical Society of America.