Technische Schwingungslehre Book by Peter Hagedorn
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Technische Schwingungslehre

Technische Schwingungslehre


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About the Book

Dieser Band befaßt sich mit der Beschreibung und der mathematischen Behandlung der linearen Schwingungen kontinuierlicher mechanischer Systeme und entspricht dem Stoff von Vorlesungen, wie sie an Technischen Hochschulen und Universitäten für Studenten technischer Fachrichtungen, aber auch für Physiker, angewandte Mathematiker und Informatiker angeboten werden. Grundlegende Begriffe werden recht ausführlich für die eindimensionale Wellengleichung erläutert. Partielle Differentialgleichungen werden hergeleitet, das Eigenwertproblem wird formuliert und gelöst. Auch das Ritzsche und das Galerkinsche Verfahren, sowie der Rayleighsche Quotient werden besprochen, wobei außer den freien auch erzwungene Schwingungen behandelt werden. Diskutiert werden die d'Alembertsche Lösung der Wellengleichung, Reflexionen am festen und am freien Ende, Zwangserregung am Rande und der Energietransport. Bei den linearen Schwingungen elastischer Balken werden zusätzlich zum Eigenwertproblem die Ausbreitungsvorgänge betrachtet. Die Begriffe Phasen- und Gruppengeschwindigkeit werden eingeführt und die Dispersion wird behandelt. Die Wellengleichung in zwei und drei Dimensionen wird am Beispiel der Membran bzw. der Akustik diskutiert. Auch hier werden Reflexion, Brechung sowie Ausbreitungsvorgänge untersucht, wobei Kugel-, Zylinder- und Rohrwellen behandelt werden. Plattenschwingungen werden besprochen, einschließlich der Ausbreitung von Biegewellen in Platten, der Platten nichtkonstanter Dicke und der Schallabstrahlung von schwingenden Platten. Es wird ein Überblick über die Theorie der Rand- und Eigenwertprobleme der linearen Schwingungen mechanischer Kontinua gegeben. Diskretisierungsverfahren werden eingeführt und miteinander verglichen. Damit ist dann der Anschluß an Band 1 gegeben, in dem lineare diskrete mechanische Systeme behandelt wurden. Das Buch enthält Übungsaufgaben und Lösungshinweise; es ist daher sowohl als Leitfaden für Studenten, wie auch zum Selbststudium für den Ingenieur in der Praxis geeignet.


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Product Details
  • ISBN-13: 9783540508694
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 244 mm
  • No of Pages: 338
  • Series Title: German
  • Sub Title: Band 2: Lineare Schwingungen Kontinuierlicher Mechanischer Systeme
  • Width: 170 mm
  • ISBN-10: 3540508694
  • Publisher Date: 30 Mar 1989
  • Binding: Paperback
  • Language: German
  • Returnable: Y
  • Spine Width: 19 mm
  • Weight: 612 gr


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