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Zur Berechnung Gekoppelter Eigenfrequenzen Von Schaufeln Axialer Turbomaschinen by Otto Kirch

Zur Berechnung Gekoppelter Eigenfrequenzen Von Schaufeln Axialer Turbomaschinen

by Otto Kirch
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Book cover type: Paperback
  • ISBN13: 9783663067085
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vs Verlag Fur Sozialwissenschaften
  • Publisher Imprint: Vs Verlag Fur Sozialwissenschaften
  • Publication Date:
  • Pages: 75
  • Original Price: EUR 51.39
  • Language: German
  • Edition: 1966
  • Item Weight: 137 grams
  • BISAC Subject(s): Engineering (General)

Bei Turbokompressoren und Turbinen treten manchmal unerwartete Schaufel- br�che in einzelnen Stufen auf. Man kann solche Br�che vermeiden, wenn man ihre Ursachen erkennt und also auch angeben kann, unter welchen Voraussetzungen diese Br�che m�glich sind, bzw. durch welche Ma nahmen sie verhindert werden k�nnen. Da die thermische und statische Belastung der Schaufeln allein diese Br�che nicht rechtfertigt, m�ssen dynamische Belastungen die entscheidende Ursache sein. Die Turbinenschaufel ist ein sehr schwingungsanf�lliges Gebilde, dessen Bruchgefahr durch �berdimensionierung kaum vermindert wird, denn die Erregerfrequenzen sind manchmal hohe Vielfache der L�uferdrehzahl, so da eine Eigenfrequenzerh�hung die Resonanzgefahr auch vergr� ern kann. Es gilt also zun�chst einmal festzustellen, ob die Eigenfrequenzen der Schaufeln mit einem Vielfachen der Rotordrehzahl zusammenfallen. Da die Betriebsdrehzahl der Turbomaschine festliegt, m�ssen die Schaufeln so ausgelegt werden, da keine Eigenfrequenz einer Schaufel mit einem Vielfachen der L�uferdrehzahl zusammen- f�llt; Die Erregerfrequenzen k�nnen das SOfache der Betriebsdrehzahl erreichen, so da auch die bis dahin reichenden Oberschwingungen der Schaufel ber�ck- sichtigt werden m�ssen. Die Turbinenschaufel ist ein kompliziertes Schwingungsgebilde mit theoretisch unendlich vielen Freiheitsgraden, und ihre Eigenfrequenzen sind nur selten explizit dennierbar. Zur Berechnung m�ssen also N�herungs- oder Iterations- verfahren benutzt werden. Im folgenden werden zwei dieser Verfahren n�her beschrieben. Die bei diesen Verfahren vorausgesetzten Vereinfachungen werden durch entsprechende Erweiterungen weitgehend eliminiert. Bei der Durchf�hrung der Berechnungen zeigte es sich, da bei normalenAnforderungen an die Ge- nauigkeit der Ergebnisse die Rechenarbeit auch mit den modernsten Tischrechen- maschinen nicht mehr zu bew�ltigen ist. Daher sind f�r die Durchf�hrung der Berechnungen digitale elektronische Rechenanlagen erforderlich.

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