This paper presents a method for computing the statistical variance of eigenvalues and eigenvectors by component mode synthesis. The method relies on a modal summation to obtain eigenvector derivatives where the contributions of individual modes are shown to diminish in importance as their natural frequencies become further separated from that of the eigenvector being differentiated. The convergence of mean eigenvalues and eigenvectors, and their standard deviations, is evaluated as the number of component modes used in the synthesis is increased. It is found that convergence proceeds in that order, with the standard deviations of eigenvectors requiring the largest number of modes for convergence. However, numerical investigations have shown that even the standard deviations of eigenvectors tend to converge for the first several system modes, when only a small fraction of the total number of component modes is taken into account. The dependence of convergence on the distribution of randomness and its spatial correlation is also discussed.


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    Titel :

    Dynamic Analysis of Structures With Random Properties by Component Mode Synthesis


    Weitere Titelangaben:

    Sae Technical Papers


    Beteiligte:
    Hart, Gary C. (Autor:in) / Hasselman, T. K. (Autor:in)

    Kongress:

    National Aeronautical and Space Engineering and Manufacturing Meeting ; 1971



    Erscheinungsdatum :

    1971-02-01




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Print


    Sprache :

    Englisch


    Schlagwörter :


    Dynamic Analysis of Structures Using Constrained Component Mode Synthesis

    Kyung, R. / Shin, H. / American Institute of Aeronautics and Astronautics | British Library Conference Proceedings | 2002




    Characteristic-mode-based component mode synthesis for power flow analysis in complex structures

    Tan, Yung-Chang / Castanier, Matthew / Pierre, Christophe | AIAA | 2000


    Characteristic-Mode-Based Component Mode Synthesis for Power Flow Analysis of Complex Structures

    Castanier, M. P. / Pierre, C. / Tan, Y.-C. et al. | British Library Conference Proceedings | 2000