I have a structure which is subjected to random vibration with a shaker through a fixture/adaptor. The fixture is mounted on the shaker and the structure is mounted on the fixture. When the shaker is excited along one axis, the fixture-structure interface is experiencing vibration along three orthogonal axis, that is cross axis responses at the input to the structure are also significant.

The vibration response of the structure is measured at different locations. I want to calculate the transfer function (TF) between input to the structure and at the locations where response is measured. The TFs are needed to predict the response at the locations when a single axis excitation is given at the input of the structure.

I understand that this is MIMO system but I am not sure how to use the response data to calculate TFs as the simultaneous input is given to the structure.

P.S. There are constraints for the fixture design, so it is not possible to remove cross axis responses at the fixture-structure interface..

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