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Approximate calculation of eigen-values of linear viscously damped system with passive damping element

Result description

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.

Keywords

complex eigen-solutionnon-classical dampingpassive damping device

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Approximate calculation of eigen-values of linear viscously damped system with passive damping element

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JM - Structural engineering

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Engineering mechanics 2015. 21st International conference, May 11-14, 2015, Svratka, Czech Republic. Extended abstracts

  • ISBN

    978-80-86246-42-0

  • ISSN

    1805-8248

  • e-ISSN

  • Number of pages

    2

  • Pages from-to

    102-103

  • Publisher name

    Institute of theoretical and applied mechanics, Academy of Sciences of the Czech Republic, v. v. i.

  • Place of publication

    Prague

  • Event location

    Svratka

  • Event date

    May 11, 2015

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article