This work tackles the problem of global identifiability of an undamped, shear-type, degrees of freedom linear structural system under forced excitation without any prior knowledge of its mass or stiffness distributions. Three actuator/sensor schemes are presented, which guarantee the existence of only one solution for the mass and stiffness identification problem while requiring a minimum amount of instrumentation (only 1 actuator and 1 or 2 sensors). Through a counterexample for a 3DOF system it is also shown that fewer measurements than those suggested result invariably in non-unique solutions.
On the Uniqueness of Solutions for the Identification of Linear Structural Systems
Franco, G., Betti, R., and Longman, R. W. (July 30, 2005). "On the Uniqueness of Solutions for the Identification of Linear Structural Systems." ASME. J. Appl. Mech. January 2006; 73(1): 153–162. https://doi.org/10.1115/1.2062829
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