Past, present and future of nonlinear system identification in structural dynamics

Dynamic testing of nonlinear vibrating structures using nonlinear normal modes

Modal testing of nonlinear vibrating structures based on nonlinear normal modes: Experimental demonstration

Complex non-linear modal analysis for mechanical systems : Application to turbomachinery bladings with friction interfaces

A method for nonlinear modal analysis and synthesis: Application to harmonically forced and self-excited mechanical systems

This work presents a frequency-domain technique that extends the concept of linear modal super position to nonlinear systems by using the normal nonlinear mode approach so that a generalized parameter identification method can be formulated for MDOF nonlinear systems. The methodology is compatible with existing established vibration analysis techniques such as finite element (FE) modeling and experimental modal analysis. Furthermore, once the nonlinear modal parameters are identified at some reference force level, the nonlinear response can be predicted at any arbitrary excitation level using standard modal sum mation techniques. The numerical study is focused on a 4-DOF system with friction damping nonlinearity, for which both the macro- and microslip representations are considered. Simulated nonlinear frequency re sponse functions, obtained for a given excitation level using a harmonic balance method, were subjected to a nonlinear modal analysis procedure, and the modal parameters were extracted as a fu...

M. Imregun

Papers

Development and Application of a Nonlinear Modal Analysis Technique for MDOF Systems