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A Novel Method for Load Bounds Identification for Uncertain Structures in Frequency Domain

机译：频域中不确定结构的负载界限的新方法

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摘要

A novel method for load bounds identification for uncertain structures is proposed in the frequency domain. The uncertain parameters are assumed to locate in their intervals and only their bounds rather than their precise information are needed. To quantitatively describe the effect of the interval uncertainty on the load identification in the frequency ranges, the interval extension is then introduced in the frequency response function (FRF)-based least squares approach. Therefore, the load bounds are determined through the summation of the two separate parts including the midpoint part and the perturbed part of the load. The midpoint part is computed by using the Moore-Penrose pseudo-inversion and the perturbed part is transformed into the first derivatives of the midpoint load with respect to the uncertain parameters by applying the truncated total least squares (TTLS). Two numerical examples are investigated to validate that the proposed method is very effective to predict the load bounds for the uncertain structure in frequency domain.
机译：在频域中提出了一种用于不确定结构的负载界限的新方法。假设不确定的参数以它们的间隔定位，并且只需要其界限而不是它们的精确信息。为了定量地描述间隔不确定度对频率范围内的负载识别的影响，然后在频率响应函数（FRF）中引入间隔延伸，基于最小二乘方法。因此，通过包括中点部分和负载的扰动部分的两个单独部件的求和来确定负载界限。通过使用摩洛队伪反转来计算中点部分，并且通过施加截断的总量最小二乘（TTL），通过应用摩尔彭曲面伪反转和扰动部分相对于不确定的参数转换到中点负载的第一导数。研究了两个数值示例以验证所提出的方法对于预测频域中不确定结构的负载界限非常有效。

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