基于改进区间摄动分析的统计能量分析法

Statistical Energy Analysis Method based on Improved Interval Perturbation Analysis

为高效定量地度量系统参数的不确定性对其高频动响应的影响规律,在参数可用数据不足条件下首先建立区间参数系统的统计能量分析模型。通过保留部分高阶摄动项而提出改进区间摄动分析法,在不损失计算效率前提下提高已有区间摄动分析法的计算精度,进一步提出基于改进区间摄动分析的统计能量分析法。以板腔系统为对象,通过与不同区间分析法的比较验证了所提方法的有效性。

In order to efficiently quantify the influences of uncertainties in parameters of the system on its dynamic behaviors in the high-frequency range,a statistical energy analysis(SEA)model for the system with interval parameters was established under the premise of insufficient available information in uncertain parameters.Subsequently,an improved interval perturbation method(IIPM)was proposed by retaining some high-order perturbation terms,which promote the accuracy of current interval perturbation methods without any promise for their efficiency.Furthermore,an SEA method based on the proposed IIPM(IIPM-SEA)was formulated.The proposed method was finally validated for a plate-cavity system by traditional interval analysis methods.