<p>This research considers the identification of mathematical models for the dynamics of multiple local nonlinear attachments installed on the same primary structure. We mainly focus on the recently developed characteristic nonlinear system identification (CNSI) applicability to multiple attachments and attachments tuned to the modes higher than the first linear mode of the primary structure. The characteristic nonlinear system identification method is a purely data-driven approach for constructing mathematical models of the dynamics of nonlinear attachments. The method only requires the transient experimental response measurements, the general frequency content, and the mass of the attachments to produce their representative mathematical models. The applicability of the CNSI method for identifying multiple nonlinear attachments is demonstrated using a two-story tower with a nonlinear attachment installed on each floor in two configurations. In the first configuration, the attachments are tuned to interact with the first mode of the tower. In the second configuration, the linear stiffness of the attachment on the first floor is increased in a way that it interacts with the second mode instead of the first mode. To validate the success and strength of the CNSI method, we numerically integrate the models and compare the resulting displacements with the experimental measurements.</p>

Data-Driven Identification of Multiple Local Nonlinear Attachments

Paper Proceedings: https://asmedigitalcollection.asme.org/IDETC-CIE/IDETC-CIE2021/volume/85369

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