Domande d'esame VERIFICATO
vm exam
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- Single and Multi-Degree of Freedom (SDOF/MDOF) Systems: Questions delve into the fundamental behavior of SDOF and MDOF systems, covering oscillations, forced vibrations, and the derivation of equations of motion in various scenarios (e.g., SDOF with moving base, 2-DOF, 3-DOF systems).
- Damping and Modal Analysis: Extensive coverage of damping types, including proportional viscous, non-proportional viscous, and hysteretic damping. Topics include defining eigenproblems, computing eigenvalues and eigenvectors, and proving orthogonality properties of mode shapes (e.g., Duncan method).
- Modal Parameter Extraction Methods: Detailed questions on various techniques for identifying system parameters, such as the -3dB method (half-power points), -NdB method, and the Kennedy-Pancu method. This includes deriving receptance expressions and analyzing FRF plots.
- Fourier Analysis: Comprehensive questions on Fourier Transforms and Fourier Series, including their properties (e.g., transform of real/even functions), computation for various signals (e.g., rectangular function, impulse), and proof of theorems like Parseval's theorem.
- Signal Processing Techniques: Explores advanced signal processing concepts such as Welch's periodogram for spectrum computation, Wiener-Khinchin relations for power spectral density, coherence function, and the effects of aliasing and leakage.
- Advanced MDOF Concepts: Includes topics like expressing equations of motion in state space, receptance for hysteretic proportional damping, fractional polynomial methods for extraction, and the Modal Assurance Criterion (MAC) for comparing eigenvectors.
- Analogue-to-Digital Conversion: Covers principles like Nyquist-Shannon sampling theorem, aliasing error, and various filters and sampling techniques relevant to data acquisition.
- Error Analysis and Identification: Discusses sources of noise in FRF estimation (SISO systems) and various parameter estimation methods, including Direct Parameter Estimation (DPE) and Singular Value Decomposition (SVD).
- Specific Applications: Questions involve practical scenarios like determining transmitted force, computing free response, and analyzing system behavior from FRF plots to estimate loss factors and oscillation amplitudes.
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