Reduced basis techniques and the method of mode-acceleration are applied to transient analysis of simple beam and truss structures. It is noted that the method of mode-acceleration effectively recovers the first Ritz vector used in Ritz procedures. The theoretical basis for Lanczos algorithms that generate Ritz vectors is explained. Both mode-acceleration and Ritz procedures are found, generally, to be more accurate than mode-displacement in calculation of transient shear stresses, moments and normal stresses. Reanalysis using Ritz vectors is discussed following Kitis and Pilkey [9] and Noor and Lowder [10].


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    Title :

    A Comparison of Mode-Acceleration and Ritz Vector Reduced Basis Procedures in Transient Analysis


    Additional title:

    Sae Technical Papers


    Contributors:

    Conference:

    International Conference on Vehicle Structural Mechanics ; 1988



    Publication date :

    1988-04-01




    Type of media :

    Conference paper


    Type of material :

    Print


    Language :

    English