Abstract
Many of available substructural identification (SSI) methods are performed with the interface forces and/or the external excitation being available. However, the prior knowledge of these two forces is not always possible. Therefore, an extended Kalman filter-based substructural identification with unknown interface forces (EKF-SSI-UIF) approach is proposed in this paper for simultaneously identifying the parameters and interface forces of the concerned substructure as well as the unknown excitation applied to it. A projection matrix is introduced, and then a modified observation equation is obtained. The recursive solution for the extended substructural states is analytically derived. Data fusion technique is employed to avoid the so-called low-frequency drift in the estimated quantities. Moreover, to assure the convergence and stability of the identified results, a weighted global iteration procedure is introduced. The effectiveness of the proposed approach is numerically demonstrated via several linear substructures and a substructure with local nonlinearity.
Published Version
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