Course Content (Syllabus)
Analytical modal analysis (structural model equations, modal model equations, frequency response function, impulse response functions, viscous and structural damping, classically and non-classically damped systems). Signal processing theory (Fourier transform for periodic and non-periodic signals, sampled time and frequency transforms, aliasing, leakage, auto- and cross-correlation, auto- and cross-power spectra, frequency response functions and coherence). Modal parameter estimation (multiple-input multiple-output time and frequency domain methods, operational modal analysis methods). Testing techniques (forced and motion transducers, data acquisition and analysis system, test set-up, FRF measurements, excitation considerations). Modal model validation methods (modal assurance criterion). Finite element model validation and updating (least squares, maximum likelihood, Bayesian inference methods). Data oriented investigations, analysis and modelling: Arithmetic, logical and nominal parameters, construction of feature space. Data investigation and analysis methods (Principal Component Analysis, Self Organizing Maps, Clustering). System modelling with the aid of experimental data (Artificial Neural Networks, etc). Analysis and optimization of experimental procedures. System diagnostics possibilities on the basis of experimental data. Experimental design (information theory methods for optimal sensor locations and optimal selection of excitation characteristics). Applications from the area of machine dynamics and turboengines.