Transfer functions and loads identification based response prediction in situation of unknown uncorrelated multi-source loads

Abstract

In order to predict multi-points frequency domain vibration response in the situation of unknown uncorrelated multi-source loads, a new multi-points vibration response prediction method in frequency domain is proposed. This new method is based on transfer functions and uncorrelated multi-source loads identification. After getting the system’s transfer functions from all uncorrelated multi-source loads to all the measurement points and vibration response of the known measurement points, the unknown uncorrelated multi-source loads in frequency domain can be identified by least square generalized inverse. Then, the vibration response of the unknown measurement points can be predicted through multiplying the identification uncorrelated multi-source loads and the system’s transfer functions from all uncorrelated multi-source loads to all the unknown measurement points. Experiment verification results of acoustic and vibration sources on cylindrical shell showed that the proposed approach could predict multi-points frequency domain vibration response in situation of unknown uncorrelated multi-source loads effectively.

Keywords

Vibration response prediction in frequency domain transfer function unknown uncorrelated multi-source loads loads identification in frequency domain least square generalized inverse

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