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
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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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