A New Approach on Parameter Identification in 2-DOF Localized Nonlinear Vibrating System

A 2-DOF localized nonlinear vibrating system with quadratic nonlinear stiffness and damping is studied, spatial approach by which linear and nonlinear frequency response function is estimated is used to parametrically identify the nonlinear vibration model, and nonlinear stiffness coefficient and nonlinear damping coefficient of the model are optimized by least square method in this paper. The feasibility of the approach is validated by the experimental result, which showed that the approach have some reference value in identifying and optimizing the physical parameters, such as frequency response function and nonlinear stiffness and damping coefficient, of localized nonlinear vibrating system.