A method for calculating and continuing static solutions for flexible multibody systems

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    Abstract

    This presentation describes some modifications in the calculation of static solutions in the program SPACAR and the implementation of an arc continuation method to calculate a branch of static solutions for varying parameters. The equations to be solved are stated in a descriptor form, which can be viewed as the equations of motion written as differential-algebraic equations with the time-dependent terms removed. The arc continuationmethod is of the familiar predictor–corrector type. The equations of motion are linearized around found equilibria and reduced to a state-space description in the degrees of freedom and their rates.

    The methods are applied to several examples: planar and spatial large deflection problems for beams, the buckling of a parallel leaf-spring guidance by misalignments and the large deflections and stability of a fluid-conveying tube. It is shown that the proposed methods can lead to higher robustness and efficiency.
    Original languageEnglish
    Title of host publicationECCOMAS Thematic Conference on Multibody Dynamics
    Subtitle of host publicationPrague, June 19-22, 2017: conference proceedings
    EditorsMichael Valasek, Zbynek Sika, Tomas Vampola
    PublisherCzech Technical University
    Pages63-74
    Number of pages12
    ISBN (Electronic)978-80-01-6174-9
    ISBN (Print)978-80-01-06173-2
    Publication statusPublished - 2017
    EventMultibody Dynamics 2017: 8th ECCOMAS Thematic Conference - Czech Technical University, Prague, Czech Republic
    Duration: 19 Jun 201722 Jun 2017
    Conference number: 8
    http://multibody2017.cz/

    Conference

    ConferenceMultibody Dynamics 2017
    CountryCzech Republic
    CityPrague
    Period19/06/1722/06/17
    Internet address

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