Abstract
Due to their useful properties, metal foams became an interesting, often utilized and investigated material. Recent applications are in areas, where dynamic processes play a significant role. In the huge amount of literature about metal foam, mainly the material properties like strength and stability are investigated but the dynamic behavior is rarely the object of research. Therefore this work investigates the principal vibration behavior of heterogeneous metal foam by examining the eigenfrequencies of bending beams in dependence on the irregular microstructure of the foam.First of all the linear elastic properties of metal foam and their variations have to be investigated. Therefore, mesoscopic three dimensional stochastic volume elements are sampled including the effects of inhomogeneities like varying thickness along a ligament, pre-deformed ligaments, imperfections, partially closed cell faces or non-planar cell faces. In order to perform the step from the meso- to the macroscale, the mechanical properties are expressed as normally distributed random fields with a determined autocorrelation function or the power spectral density.These random fields are used to predict the eigenfrequencies of Timoshenko beams made of metal foam. Therefor the Karhunen-Loève expansion and the Spectral Representation are derived analytically for the determined data of metal foam and used as two realization generators in Monte-Carlo-Simulations. The results are compared with experiments.
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Schwarzer, D., Proppe, C. (2011). The Scatter of Eigenfrequencies in Beams Made of Metal Foam. In: Papadrakakis, M., Stefanou, G., Papadopoulos, V. (eds) Computational Methods in Stochastic Dynamics. Computational Methods in Applied Sciences, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9987-7_16
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DOI: https://doi.org/10.1007/978-90-481-9987-7_16
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