Experimental validation; Locating nonlinearities; Nonlinear orthogonal projections; Nonlinear response shape; Experimental validations; Frequency response functions; Linear frequency response; Locating nonlinearity; Non-linear response; Nonlinear orthogonal projection; Nonlinear restoring force; Orthogonal projection; Structural nonlinearities; Control and Systems Engineering; Signal Processing; Civil and Structural Engineering; Aerospace Engineering; Mechanical Engineering; Computer Science Applications
Abstract :
[en] This paper addresses the identification of the spatial location of nonlinearities based on classical modal testing. Interpreting nonlinear systems as linear systems with a nonlinear feedback loop shows that the nonlinear contribution to the response and the nonlinear restoring forces are related through the linear frequency response function (FRF) matrix. Specifically, if the nonlinearity is localized, the response's nonlinear part is intimately linked with the linear FRF at the nonlinearity location. Thus, processing input–output data measured under pseudorandom excitation, the nonlinearity location can be inferred from the comparison of the nonlinear part of the response with the different measured FRFs. A second approach, which provides a direct estimation of the nonlinear restoring forces at the different degrees of freedom, also utilizes the same relations. Both procedures are demonstrated numerically and experimentally.
This project has received funding from the European Union's Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No 764547 (DyVirt project).
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