Einführung in Theorie Und PRAXIS Der Zeitreihen- Und Modalanalyse: Identifikation Schwingungsfähiger Elastomechanischer Systeme
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Dieses Buch behandelt die experimentelle Analyse (Identifikation) schwingungsfähiger linearer elastomechanischer Systeme, die zeitinvariant und diskret (mit endlich vielen Freiheitsgraden) modelliert sind. Von der theoretischen Analyse sind die Grundlagen von Mehrfreiheitsgrad-Modellen im Zeit- und Frequenzbereich bereit gestellt, zusätzlich solche der Statistik und Stochastik einschlie lich der Schätztheorie. Innerhalb der Zeitreihenanalyse werden die Eigenschaften der das System beschreibenden gemessenen Signale durch geeignete Manipulationen (Abtastung, Fenster, Filter, Störsignalreduzierung) ermittelt. Die nichtparametrische Identifikation enthält die Schätzung von Frequenzgängen und Übertragungsfunktionen. Die experimentelle Modalanalyse basiert auf sowohl erzwungenen als auch freien Schwingungen mit Methoden im Zeit- und Frequenzraum. Darüber hinaus ist die Schätzung nichtmodaler Modellparameter ausführlich dargestellt, im Schrifttum auch unter der Korrektur, Verbesserung von Rechenmodellen unter Verwendung von Messwerten bekannt. In dem Buch wird das theoretische Rüstzeug entwickelt, werden Zusammenhänge aufgezeigt, Ergebnisse physikalisch interpretiert und Anwendungen diskutiert. Das Buch bietet Mathematikern, Physikern und Ingenieuren in Ausbildung und Praxis eine wertvolle Hilfe, die mit dynamischen Untersuchungen komplizierter Konstruktionen zu tun haben. Der Vorteil besteht nicht zuletzt in der einheitlichen Darstellung der Teilgebiete Zeitreihenanalyse, experimentelle Modalanalyse und Korrektur von Rechenmodellen.
Prof. Dr. rer. nat. Hans Günther Natke ist Direktor des Curt-Risch-Instituts für Dynamik, Schall- und Meßtechnik der Universität Hannover.
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