Modification of modal properties of a system with non-proportional damping due to vibration absorbers and sub-soil interaction

0393106 - ÚTAM 2014 RIV GR eng C - Konferenční příspěvek (zahraniční konf.)
Náprstek, Jiří - Hračov, Stanislav
Modification of modal properties of a system with non-proportional damping due to vibration absorbers and sub-soil interaction.
Computational methods in structural dynamics and earthquake engineering. Kos: European Community on Computational Methods in Applied Sciences, 2013 - (Papadrakakis, M.; Papadopoulos, V.; Plevris, V.). ISBN 978-960-99994-2-7.
[COMPDYN 2013. Kos (GR), 12.06.2013-14.06.2013]
Grant CEP: GA AV ČR(CZ) GA103/09/0094; GA AV ČR(CZ) IAA200710902; GA ČR(CZ) GP13-41574P
Institucionální podpora: RVO:68378297
Klíčová slova: non-proportional damping * perturbation method * modal properties
Kód oboru RIV: JM - Inženýrské stavitelství

The paper deals with a complex linear dynamic system with proportional damping, which is completed by various elements making the final system non-proportionally damped. Such effects emerge due to vibration absorbers, soil-structure interaction and other components and details. Influence of subsequently attached elements being a source of the non-proportional damping are reflected using perturbation method on the level of the first degree of a small parameter. This parameter characterizes the damping non-proportionality as the relevant perturbation. In the role of the first step the proportionally damped system is adopted. The basic system includes such a part of individual supplements to keep the proportional damping. Eigen-functions of the basic system are then used as a certain variational basis for approximate analysis of eigen-values and eigen-modes of the original system respecting non-proportionality.
Trvalý link: http://hdl.handle.net/11104/0232742