Sumários

Analysis of data with spatial coherence - applications to velocimetry

16 novembro 2020, 11:00 Rui Lage Ferreira

Module 2 – Methods of data analysis

2.2 Analysis of data with spatial coherence - applications to velocimetry


Analysis of data with spatial coherence

9 novembro 2020, 11:00 Rui Lage Ferreira

Module 2 – Methods of data analysis  

 2.1 Analysis of data with spatial coherence


Time series analysis. Frequency domain and application examples. (aula online)

2 novembro 2020, 11:00 Jorge Miguel Silveira Filipe Mascarenhas Proença

Frequency domain analysis of time series.
General concepts. Spectral density, Fourier transform of the autocorrelation function. Units. Significance. Narrow-band and wide-band processes. "White noise".
Fourier series of (assumed) periodic functions. Computation of the a0, am and bm coefficients. Examples. Truncated Fourier series. Examples. Discrete (finite) Fourier Transform. Computation of the a0, am and bm coefficients.Maximum freuqency (Nyquist). FFT algorithm. Other limitations (limited time observation leading to leakage phenomenon).
Applications examples: Ponte Internacional do Guadiana (cable and deck frequencies), Hospital de Santa Maria (mode frequencies and shapes), Sporting precast benches and Industrial application (drier and grinder), spectral signatures.


Time Series Analysis - General concepts and time-domain (aula online)

26 outubro 2020, 11:00 Jorge Miguel Silveira Filipe Mascarenhas Proença

Time Series Analysis
Scope, definitions and limitations of time series. Sampling interval and frequency and aliasing phenomenon. Deterministic and stochastic processes. Ensembles. Stationary and non-stationaty stochastic processes. Ergodic processes. Discrete/continuous processes.
Time domain analysis. Statistics (probability density function, cumulative probability function). Mean value, average, mean square value, variance. Correlation coefficient. Autocorrelation function. Cross-correlation function.


Introduction to experimental methods (aula online)

19 outubro 2020, 11:00 João Paulo Janeiro Gomes Ferreira

Module 1 – Introduction to experimental methods 
 1.3 Instrumentation and methods