SYLLABUS/CONTENT

Dynamics of discrete mechanical systems

Equations of motion, modal analysis, frequency domain representation (FRF), state space representation, numerical integration, discrete time models.
Dynamic substructuring, component-mode synthesis, Craig-Bampton method
Notes on the response of nonlinear systems (bifurcation, jump, limit cycle)
Instability, divergence, flutter

Dynamic response of linear systems with random forcing
Review of probability theory, stationary random processes, PSD, self- and cross-correlation, coherence
Stationary linear response (spectral analysis), maximum response value, expected frequency, peak factor

Dynamics of rotors and rotating elements
Free lateral response of rigid rotors on flexible supports, Campbell diagram, synchronous and non-synchronous forces
Linear vibrations of elements subject to centrifugal forces (rotor blades), stress stiffening, spin softening
Dynamic properties of structures with cyclic symmetry (rotor discs)

Vibration measurement and dynamic identification
Review of measurements (AD conversion, sampling, quantization), discrete Fourier transform, aliasing, leakage, windows. PSD and FRF estimate.
Experimental modal analysis. Modal identification principles and algorithms, parameterizations of the dynamic system. Operational modal analysis.
Structural integrity monitoring tools. Trend identification, envelope estimation (Hilbert transform), identification of pure tones (spectral kurtosis).

RECOMMENDED READING/BIBLIOGRAPHY

Fundamentals of Structural Dynamics.
Roy R. Craig, Andrew J. Kurdila

Dynamics of Rotating Machines.
Michael I. Friswell, John E. T. Penny, Seamus D. Garvey, Arthur W. Lees

Modal Testing: Theory, Practice and Application.
D. J. Ewins

Lecture notes