Structural damage, fatigue, and many other dynamical theories utilize statistical approaches based upon classical probability density functions. It is the purpose of this paper to describe or fit mathematically the resulting nonclassical probabilistic functions arising in random vibration propositions. Pearson’s family, or as an alternative, Johnson’s transformation functions, meet all requirements of generality, relative simplicity, and contain members widely recognized and used in vibration theory. A new density function of wide generality and application is also investigated with favorable results. In addition to theoretical discussions, two example problems are given demonstrating the practical utility of these functions.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    The Use of Generalized Probability Density Functions in Random Vibration Theory


    Additional title:

    Sae Technical Papers


    Contributors:

    Conference:

    SAE World Congress & Exhibition ; 1964



    Publication date :

    1964-01-01




    Type of media :

    Conference paper


    Type of material :

    Print


    Language :

    English