Approximate complex eigensolution of proportionally damped linear systems supplemented with a passive damper

0478712 - ÚTAM 2018 RIV GB eng C - Konferenční příspěvek (zahraniční konf.)
Hračov, Stanislav - Náprstek, Jiří
Approximate complex eigensolution of proportionally damped linear systems supplemented with a passive damper.
Procedia Engineering. Vol. 199. Amsterdam: Elsevier, 2017 - (Vestroni, F.; Romeo, F.; Gattulli, V.), s. 1677-1682. ISSN 1877-7058.
[EURODYN 2017, International Conference on Structural Dynamics /10./. Řím (IT), 10.09.2017-13.09.2017]
Grant CEP: GA ČR(CZ) GA15-01035S
Institucionální podpora: RVO:68378297
Klíčová slova: non-proportional damping * complex eigensolution * perturbation method * passive damper
Obor OECD: Construction engineering, Municipal and structural engineering
http://www.sciencedirect.com/science/article/pii/S187770581733850X

An approximate and numerically efficient method is developed to complex eigenproblem associated with the discrete proportionally damped systems equipped with a passive damper. The presence of the damper changes the dissipative character of the complete system and makes it non-proportionally damped. The eigenanalysis of such systems is conventionally performed in a space of twice the system's dimension. This makes analysis costly, particularly for large systems. The proposed method avoids using this numerically demanding state-space formulation. The determination of complex eigenvalues is based on the approximate solution of the characteristic equation that is derived in the modal space. The perturbation approach is adopted to reflect the differences in the eigenvalues of proportionally and non-proportionally damped systems. The complex eigenvectors are calculated afterwards with the use of a significantly reduced modal system and obtained eigenvalues. The proposed procedure is easily programmable and enables the calculation of the individual complex eigenvalues and eigenmodes separately, which significantly reduces computational time.
Trvalý link: http://hdl.handle.net/11104/0274779