Advanced Machinery Vibrations

Course content

Response of proportionally and non-proportionally damped (viscously and structurally) multi degree of freedom (MDoF) systems. Frequency response functions for MDoF systems. Spatial, modal and response models of MDoF systems; complete and incomplete models. Model reduction/expansion techniques: static and dynamic condensation; system equivalent reduction/expansion process; expansion of experimental mode shapes. Theoretical and experimental comparison tools. Structural coupling/decoupling analysis methods: impedance coupling; FRF coupling; modal coupling; FRF decoupling. Structural modification methods: Dual Modal Space; structural modifications by Matrix Inversion Method. Singular value decomposition and its use in structural dynamics. Modal testing and experimental modal analysis. Experimental modal analysis of nonlinear structures.