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B. Petermeier:
"Parametric resonances of a cantilever beam with attached lumped masses";
Vortrag: Dynamics of Machines 2008, Prag; 05.02.2008 - 06.02.2008; in: "Proceedings Dynamics of Machines 2008", L. Pesek (Hrg.); Institute of Thermomechanics, ASCR, Prague (2008), ISBN: 978-80-87012-10-9; S. 119 - 126.

In this numerical study new results on parametric resonancesof beam structures are presented. A uniform cantilever beam charged by a time periodic axial force is investigated. The consideration of lumped masses in the nodal points of the finite element model, cause a shift in the natural frequencies. Consequently, the parametric resonance areas of the system are shifted about the frequency in comparison to a uniform cantilever beam. Hence, an exposition of specific vibration suppression frequency-areas can be realized by preventing an interference with parameter resonances. It is demonstrated that the parametrically excited beam structure exhibits enhanced damping properties, when excited by a non-resonant parametric combination resonance frequency. Furthermore, it is shown that non-resonant combination frequencies of higher order can exhibit a more pronounced characteristic than non-resonant areas of order one, although a higher force amplitude is required.