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Relative scaling of mode shapes using transmissibility functions

机译：使用传递函数的模式形状的相对缩放

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Operational modal analysis (OMA) is the collective term for different techniques that estimate the modal parameters of a linear structure using only the structural responses to unknown excitations. Therefore, OMA is the preferred approach when operational forces are hard to measure, when operational conditions are hard to replicate in a controlled environment or when an experimental modal analysis (EMA) is too time-consuming. However, OMA does not allow us to determine the relative contribution of each mode, i.e. the mode shapes found with OMA are unscaled. This paper introduces a novel approach to estimate the relative contributions of all modes within a given bandwidth and to reconstruct frequency response functions (FRF) that are proportional to the true FRFs of the system. This novel technique requires only response data and a general knowledge of the input locations of the dominant forces acting on the system. It is shown that even when only a limited number of input locations are known the proposed method can still be used by considering multiple loading conditions. Finally, since the technique is based on transmissibility functions, there are no necessary assumptions considering the spectral content of the excitations. Several numerical examples illustrate the claimed properties and are used to quantify the influence of measurement and ambient noise.
机译：操作模态分析（OMA）是不同技术的总称，这些技术仅使用对未知激发的结构响应来估计线性结构的模态参数。因此，当难以测量操作力，难以在受控环境中复制操作条件或实验模态分析（EMA）太耗时时，OMA是首选方法。但是，OMA不允许我们确定每种模式的相对贡献，即，使用OMA找到的模式形状是未缩放的。本文介绍了一种新颖的方法来估计给定带宽内所有模式的相对贡献，并重建与系统的真实FRF成比例的频率响应函数（FRF）。这种新颖的技术只需要响应数据和作用在系统上的主导力的输入位置的一般知识。结果表明，即使只有有限数量的输入位置是已知的，所提出的方法仍然可以通过考虑多种负载条件来使用。最后，由于该技术基于透射率函数，因此没有必要的假设来考虑激发的光谱含量。几个数值示例说明了要求保护的属性，并用于量化测量和环境噪声的影响。

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