Live-Experiment: Spring Experimentalphysik I 00549f 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Spring oscillator experiment in the lecture on 19th Dcember 2019. This experiment uses the accelerometer to measure the oscillator movement and calculates the oscillation period T. Additionally, on the resonance tab, it plots the amplitude against the detected frequency. This way, you can construct a driven oscillator and change its frequency to measure a resonance curve. Further details: The oscillation period is obtained through the autocorrelation of the sum of all three accelerometer components. The autocorrelation is then analyzed for its first maximum for a first estimate and then the last maximum of the autocorrelation is used to get a more precise result. Live-Experiment: Federpendel Experimentalphysik I Federpendel-Experiment der Vorlesung am 19.12.2019. Dieses Experiment nutzt den Beschleunigungssensor um die Pendelbewegung zu erfassen und berechnet hieraus die Schwingungsperiode T. Außerdem wird auf der Resonanz-Seite die Amplitude der Schwingung gegen die ermittelte Frequenz geplottet. Auf diese Weise kannst du ein getriebenes Pendel (erzwungene Schwingung) bauen und durch verstellen der Frequenz die Resonanz ausmessen. Weitere Details: Die Schwingungsperiode wird durch eine Autokorrelation der Summe der drei Komponenten des Beschleunigungs-Vektors ermittelt. Im Ergebnis der Autokorrelation wird dann nach dem ersten Maximum gesucht, die als erste Schätzung der Frequenz genutzt wird. Die genaue Frequenz folgt dann aus dem letzten Maximum der berechneten Autokorrelation. Ergebnisse Periode Frequenz Resonanz Rel. Amplitude (a.u.) Frequenz (Hz) Autokorrelation Korrelation (a.u.) Rohdaten Beschleunigung z Auf dieser Seite wird die Amplitude gegen die ermittelte Frequenz aufgetragen. Du kannst hiermit die Resonanz eines getriebenen Pendels ausmessen. Die Amplitude wird auf den Bereich 0 bis 1 normiert. Beschleunigung x Beschleunigung y Rel. Amplitude Korrelation Masse Qualität t accX accY accZ accSum maxT minT subAcc subT autocorrelation_t autocorrelation dt t0 t1 t2 search_t search_y periodEstimate factors multiples multipleFactor multiplePeriod periodHalf fineSearchMin fineSearchMax fineSearch fineSearch_t fineSearchResult fineSearchMax firstMax quality period frequency avg m state time age accX accY accZ t uniqueID m frequency quality accX accY accZ accSum t maxT maxT 10 minT t minT accSum subT subAcc subT subAcc 0 5 autocorrelation_t autocorrelation autocorrelation_t autocorrelation t0 t0 2 dt t0 dt t1 t1 dt t2 autocorrelation_t t1 t2 autocorrelation search_t search_y search_y search_t periodEstimate 1 20 factors periodEstimate factors multiples multiples 4.5 factors multiplePeriod multipleFactor periodEstimate 2 periodHalf multiplePeriod periodHalf fineSearchMin multiplePeriod periodHalf fineSearchMax autocorrelation_t fineSearchMin fineSearchMax autocorrelation fineSearch_t fineSearch fineSearch fineSearch_t fineSearchResult fineSearchMax fineSearchResult multipleFactor period autocorrelation firstMax fineSearchMax firstMax quality 1 period frequency m period frequency quality autocorrelation_t autocorrelation period frequency t accX t accY t accZ subT subAcc t accX accY accZ autocorrelation_t autocorrelation