Nonlinear Structures & Systems, Vol. 1

Nonlinear Frequency Response Surfaces, Part I: Theoretical Formulation 23 Fig. 1 Linear frequency response surface (LFRS) Fig. 2 Linear and nonlinear static receptance response solution. Figure 3 shows the 3D NFRS in red and the constant amplitude force surface in blue. The nonlinear FRF is the unique solution between the interception of the NFRS and the desired force plane, the inclination of which can be changed. The concluding remarks of this section are straightforward. One can understand that the same NFRS can be generated by accessing modal amplitude-dependent parameters. The response model equation (1) can be used to generate that NFRS once the amplitude-dependent parameters are identified. The identification process will be briefly explained on the following section and the application to an experimental case will be provided as an example. Fig. 3 Nonlinear Frequency Response Surface (NFRS) (red) and constant amplitude force plane (blue)

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