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A method for structural matrix identification is presented that uses microtremor measurements based on the canonical variate analysis (CVA), one of the subspace methods that enable the simultaneous identification of parameters under the multi-input-multi-output (MIMO) system. In the case where the structural responses at all nodes can be measured as well as the vibration at the basement, the damping and stiffness matrices can be obtained using the proposed method. Compared to the methods that tries to identify directly the element stiffness and element damping based on least squares method and prediction error method, the proposed method does not need to assume any distribution of stiffness and damping matrices, and identifies directly the total stiffness and damping matrices. The method is validated with the numerical simulation using a four-story structure.

Structural matrix identification using microtremor measurements based on canonical variate analysis