Data Estimation at Unmeasured Positions Using Measured Receptance Frequency Response Function

The dynamic responses of finite element model do not match with those of the experimental results due to modeling and measurement errors. It is impractical to collect the data for the full set of DOFs of a dynamic system. And there are some cases to have difficulty in measuring the response such as slope. This work presents an analytical method to estimate the frequency response function (FRF) at the unmeasured nodes of the actual system. The method is derived by minimizing the discrepancy between the analytical and actual FRF data sets dividing into the real and imaginary parts. The validity of the proposed method is investigated in a numerical application to estimate the unmeasured slope FRF data of a beam. Keyword: Pseudo inverse, Frequency response function, Data expansion, Cost function, Measurement