Mechanische trillingen

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Presentation transcript:

Mechanische trillingen LES 5 – BASISMEETTOESTELLEN Patrick Guillaume E-mail: patrick.guillaume@vub.ac.be Tel.: 02/6293566 12/3/2018 MECHANISCHE TRILLINGEN, LES 5, 2005

Frequency Spectrum or Overall Level MECHANISCHE TRILLINGEN, LES 5, 2005

Types of Signals Periodic MECHANISCHE TRILLINGEN, LES 5, 2005

Which Time Signal Parameters Do We Use? MECHANISCHE TRILLINGEN, LES 5, 2005

Signal Parameters for a Harmonic Signal MECHANISCHE TRILLINGEN, LES 5, 2005

Periodic Signals (Deterministic) MECHANISCHE TRILLINGEN, LES 5, 2005

Signal Parameters for a Random Signal MECHANISCHE TRILLINGEN, LES 5, 2005

Why Make a Frequency Analysis? MECHANISCHE TRILLINGEN, LES 5, 2005

Hand-held Instrumentation MECHANISCHE TRILLINGEN, LES 5, 2005

Filters MECHANISCHE TRILLINGEN, LES 5, 2005

The Detector/Averager MECHANISCHE TRILLINGEN, LES 5, 2005

Averaging Time MECHANISCHE TRILLINGEN, LES 5, 2005

Frequency Spectrum or Overall Level MECHANISCHE TRILLINGEN, LES 5, 2005

Selecting Bandwidth MECHANISCHE TRILLINGEN, LES 5, 2005

Bandwidth of Filters MECHANISCHE TRILLINGEN, LES 5, 2005

Constant Bandwidth Filtering MECHANISCHE TRILLINGEN, LES 5, 2005

Constant Percentage Bandwidth Filters MECHANISCHE TRILLINGEN, LES 5, 2005

Response of Band-pass Filter MECHANISCHE TRILLINGEN, LES 5, 2005

Uncertainty Principle of Spectral Analysis (frequency resolution) (measurement time) MECHANISCHE TRILLINGEN, LES 5, 2005

Parallel Filter Spectrum Analyzer MECHANISCHE TRILLINGEN, LES 5, 2005

Spectrum Analyzer with Tunable Filter frequency (time) MECHANISCHE TRILLINGEN, LES 5, 2005

Spectrum Analyzer with Mixer MECHANISCHE TRILLINGEN, LES 5, 2005

Phase Measurement - Keyphasor MECHANISCHE TRILLINGEN, LES 5, 2005

Phase Measurement V  H 180 360  MECHANISCHE TRILLINGEN, LES 5, 2005

FFT Spectrum Analyzer MECHANISCHE TRILLINGEN, LES 5, 2005

FFT MECHANISCHE TRILLINGEN, LES 5, 2005

Aliasing MECHANISCHE TRILLINGEN, LES 5, 2005

Leakage MECHANISCHE TRILLINGEN, LES 5, 2005

Leakage MECHANISCHE TRILLINGEN, LES 5, 2005

Leakage MECHANISCHE TRILLINGEN, LES 5, 2005

Rectangular Window (with MatLab) >> x=sin(2*pi*16*t); >> plot(2*[0:512-1],abs(fft(x)),'o') >> t=0.5*[0:512-1]’/512; >> x=sin(2*pi*17.5*t); >> plot(2*[0:512-1],abs(fft(x)),'o') MECHANISCHE TRILLINGEN, LES 5, 2005

Windowing MECHANISCHE TRILLINGEN, LES 5, 2005

Hanning Window (with MatLab) >> x=sin(2*pi*17.5*t); >> plot(t,x.*hanning(512)) >> plot(2*[0:512-1],abs(fft(x.*hanning(512))),'o') MECHANISCHE TRILLINGEN, LES 5, 2005

Hanning Window (with MatLab) >> x=sin(2*pi*16*t); >> plot(t,x.*hanning(512)) >> plot(2*[0:512-1],abs(fft(x.*hanning(512))),'o') MECHANISCHE TRILLINGEN, LES 5, 2005

Overlap MECHANISCHE TRILLINGEN, LES 5, 2005

“Real Time” Processing No overlap With 30% overlap MECHANISCHE TRILLINGEN, LES 5, 2005

Frequency Averaging (Power Spectrum) MECHANISCHE TRILLINGEN, LES 5, 2005

Time Averaging MECHANISCHE TRILLINGEN, LES 5, 2005

Zoom FFT MECHANISCHE TRILLINGEN, LES 5, 2005

Zoom FFT MECHANISCHE TRILLINGEN, LES 5, 2005

Zoom FFT MECHANISCHE TRILLINGEN, LES 5, 2005

Cepstrum MECHANISCHE TRILLINGEN, LES 5, 2005

Cepstrum MECHANISCHE TRILLINGEN, LES 5, 2005