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Teil B: Nichtlineare Schwingungen by Günter Benz, Günter Benz

Teil B: Nichtlineare Schwingungen

by Günter Benz , Günter Benz
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Book cover type: Paperback
  • ISBN13: 9783642953484
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 577
  • Original Price: EUR 56.07
  • Language: German
  • Edition: Softcover Repri
  • Item Weight: 935 grams
  • BISAC Subject(s): Mechanical

VI hat mit viel Geschick, FleiG und Aufmerksamkeit die schwierige Schreib- arbeit geleistet. Allen Beteiligten, ouch den ungenannten Helfern, die sich um die Anfertigung des Monuskripts, der Formeln und Zeichnungen und der Druckvorlage verdient gemacht hoben, gebuhrt der Dank der Benutzer. Darmstadt, im Februor 1980 Inhaltsverzeichnis Kapitel 5: Autonome Schwingungen nicht Ii nearer Gebilde 5. 1 Ubersicht 5. 11 Gegensatz linear - nichtlinear; Benennungen; Klassifika- tionen der Systeme - - - - - 5. 12 Dimensionslose Veranderliche 10 5. 13 Hinweise 14 5. 2 Bewegungsraum und Phasenebene 15 5. 20 Zustandsgr Ben; Differentialgleichung zweiter Ordnung; System von Differentialgleichungen erster Ordnung - -- 15 5. 21 Bewegungsraum, Phasenebene, Phasenzylinder; regulare und singulare Punkte - - - - - . . - - - - 19 5. 22 Klassifikation der singularen Punkte 29 5. 23 Geschlossene Phasenkurven; Grenzzykel; Poincarescher Index 43 5. 3 Stabili tat 56 5. 30 Sprachgebrauch, Benennungen 56 5. 31 Definitionen der Stabilitat 57 5. 32 Bemerkungen zur Untersuchung auf Stabilitat 64 5. 4 Periodische Schwingungen konservativer und aktiver Gebilde; ihr Zeitverlauf - - - - - - - - - - - -- - - --. - 65 5. 40 Die Differentialgleichungen konservativer Schwinger. 65 5. 41 Schwinger yom Grundtyp x" + f(x) = 0 68 5. 42 Grundtyp; ungerade Funktionen f(x) 76 5. 43 Grundtyp; stuckweise lineare Kennlinien 94 5. 44 Grundtyp; Zusommenhang zwischen Periodendauer und Ke- linie, isochrone Schwingungen nichtlinearer Schwinger -- 103 5.

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