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An expansion technique for the estimation of unmeasured rotational frequency response functions

机译：用于估计未测量的旋转频率响应函数的扩展技术

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摘要

Often numerical and measured data are not compatible both in type and number of degrees of freedom (DOFs). While finite element modelling can provide a full data set, the conventional vibration testing is usually limited, allowing only the measurement of part of the receptance matrix, namely the responses at translational DOFs due to applied forces. Therefore, the experimental frequency response function (FRF) matrix usually does not contain any information regarding rotational DOFs, especially those related to pure moment excitations. In this work, the authors propose a process that starts with a set of translational FRFs, conventionally measured, and expand it to estimate the entire recep-tance matrix. A generalized version of Kidder's method, together with the principle of reciprocity, is used in the expansion process, which has the advantage of avoiding modal identification. The accuracy of the estimated FRFs is assessed by comparing the results with those of experimental data collected at a simple structure. It is worth mentioning that the use of a T-block is considered to obtain experimental rotational FRFs with the simple pur-pose of accuracy assessment.
机译：通常数值和测量数据在自由度（DOF）的类型和数量上不兼容。虽然有限元建模可以提供完整的数据集，但是传统的振动测试通常是有限的，允许仅允许对接收矩阵的一部分的测量，即由于应用的力而在平移DOF处的响应。因此，实验频率响应函数（FRF）矩阵通常不包含关于旋转DOF的任何信息，尤其是与纯时刻激发有关的任何信息。在这项工作中，作者提出了一个从一组翻译FRF，传统上测量的过程开始的过程，并扩展它以估计整个RECEP-TANCE矩阵。在扩展过程中使用了Kidder方法的广义版本，以及互惠原理，具有避免模态识别的优点。通过将结果与在简单结构上收集的实验数据的结果进行比较来评估估计的FRF的准确性。值得一提的是，考虑使用T-块的使用，以获得简单的精度评估的PUR-POSE获得实验旋转FRF。

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