0034-A-Eigenwertanalyse eines Balkens

Roland Sauer |   Mina Nageeb | Maximilian Osterkamp | Casimir Katz



Class Analytical Verification Example
Type of structure Framework-Beam
Mechanics Dynamics-Modal Analysis
Material law Linear-Elastic
Building material Other Building Materials
Design type Dynamic Design
Design code keine Norm
Status
published on 21-01-2022 and qualified on 09-03-2023

Für einen Balken mit quadratischem Querschnitt und beidseitig gelenkiger Lagerung sollen die Eigenfrequenzen und Eigenformen der ersten 10 Moden ermittelt werden.

Balkenlänge L = 4.0 m
Querschnitt h = b = 0.3 m
Elastizitätsmodul E = 2.1 x 105 MPa
Querkontraktionszahl \small \nu = 0,3
Gewicht \small \rho = 7850 kg/m3

 


[1] Eibl, J.; Häußler-Combe, U., Baudynamik, in: Prof. Dipl.-Ing. DDr. Konrad Bergmeister (ed(s).) Betonkalender, Band II, Berlin: Ernst & Sohn 1997.

[2] Ch. Petersen, Dynamik der Baukonstruktionen, Braunschweig: Vieweg 1996, 1, 3-528-08123-6.

[3] F. Hartmann, C.. Katz, Statik mit finiten Elementen, Berlin: Springer 2019, 2, Kapitel 3, 978-3-662-58924-3.

 

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