Stabtragwerke, Matrizenmethoden Der Statik Und Dynamik: Teil 2: Dynamik
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6 stehen. Soweit mtfglich, wurden far alle hehandelten Rerechnungs- methoden ei nfache Rei spi el e aufgenommen: di ese Rei spi el e werden, wie in Teil 1, Mit dem Programmsystem SMIS geltfst. nie Verfasser mtfchten sich hei Frau II. Lechtenhtfhmer fUr die sorgf ltige Erledigung der umfangreichen Schreibarhei- ten auf einer Textverarbeitungsanl age und hei Frau II. Hein- ze fUr die Anfertigung der Zeichnungen hedanken. nie Rerechnung der meisten Reispiele erfolgte auf den Rechenanlagen der lIniversit t r. esamthochschule Essen, die Reispiele 6. 3,8. 2 und 8. 4 wurden auf der Rechenanlage der Firma Rilfinger ft Rerger in Mannheim herechnet. 7 Inhaltsverzeichnis Vorwort 5 Inhalt 7 Rezeichnungen 10 1 EinfUhrung 12 1. 1 Statische, quasistatische und dynamische Relastung 12 1. 2 Zur Entwicklung der Raudynamik 13 1. 3 Erfahrungswerte und Abschatzungen 20 1. 4 Rerechnungsvorschriften 22 2 Schwingungen mit einem Freiheitsgrad 24 2. 1 Grundbegriffe 24 2. 2 Die nifferentialgleichung der Rewegung 28 2. 3 Freie Schwingungen 34 2. 4 Harmonische Relastung 40 2. 5 Periodische Relastung - Fourierreihe 45 2. 6 Nichtperiodische Relastung - Fourierintegral 48 2. 7 Das Duhamel - Integral 52 2. 8 NumerisC: 'he Integration der Rewegungsgleichung 56 2. 9 Antwortspektfen 60 ('7 3 ElementMatrizen 3. 1 Dynamische Elementsteifigkeitsmatrix 67 3. 2 Die konsistente Elementmassenmatrix 78 3. 3 Die konzentrierte Elementmassenmatrix 84 4 Freie ungedampfte Schwingungen von Stabwerken R5 4. 1 Aufstellung der Rewegungsgleichungen 85 4. 2 Freie Schwingungen 88 8 Inhaltsverzeichnis 5 Erzwungene ungedSmpfte Schwingungen von Stabwerken 112 5.
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