Proceedings Vol. 21 (2015)
ENGINEERING MECHANICS 2015
May 11 – 14, 2015, Svratka, Czech Republic
Copyright © 2015 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)
list of papers scientific commitee
pages 102 - 103, full text
The paper presents an approximative method for eigen-solution of non-classically damped linear system representing classically damped structure equipped with passive damping element (viscous damper). The proposed procedure avoids using a numerically demanding state-space approach. It operates in the original dimension of the problem and utilizes the real eigen-modes for its further size reduction. The method is based on the dividing of the damping matrix to classical and non-classical part and the application of the perturbation strategy. The accuracy of the procedure is demonstrated by considering numerical examples. Theoretical background The proposed method is based on the division of the damping matrix of the linear viscously damped system, which represents the structure with the damper, in the form: C = Cp + d · dT .
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