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Structural Monitoring and Maintenance
  Volume 7, Number 3, September 2020 , pages 195-213

Identification of nonlinear systems through statistical analysis of the dynamic response
Marco Breccolotti and Chiara Pozzuoli

    In this paper an extension to the method for the identification of mechanical parameters of nonlinear systems proposed in Breccolotti and Materazzi (2007) for MDoF systems is presented. It can be used for damage identification purposes when damage modifies the linear characteristics of the investigated structure. It is based on the following two main features: the solution of the Fokker-Planck equation that describes the response probabilistic properties of the system when it is excited by external Gaussian loads; and a model updating technique that minimizes the differences between the response of the actual system and that of a parametric system used to identify the unknown parameters. Numerical analysis, that simulate virtual experimental tests, are used in the paper to show the capabilities of the method and to analyse the conditions required for its application.
Key Words
    nonlinear systems; Gaussian excitation; Fokker-Planck equation; identification
Marco Breccolotti : Department of Civil and Environmental Engineering, University of Perugia, via G. Duranti 93, Perugia, Italy
Chiara Pozzuoli: RWDI, Via Thaon di Revel, 21, 20159, Milano, Italy

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