Estimation of Frequency Response Functions by Random Decrement

Rune Brincker, J. C. Asmussen

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    Abstract

    A method for estimating frequency response functions by the random decrement technique is investigated in this paper. The method is based on the auto and cross Random Decrement functions of the input process and the output process of a linear system. The Fourier transformation of these functions is used to calculate the frequency response functions. The Random Decrement functions are obtained by averaging time segments of the processes under given initial conditions. The method will reduce the leakage problem, because of the natural decay of the Random Decrement functions. Also, the influence of noise will be reduced since the FFT is applied to the signatures, where the noise is reduced by averaging. Finally, the proposed technique will typically be faster than the traditional method, where the FFT is applied to every data segment instead of applying the FFT just once to the final Random Decrement function. The method is demonstrated by a simulation study.
    Original languageEnglish
    Place of PublicationAalborg
    PublisherDept. of Building Technology and Structural Engineering, Aalborg University
    Number of pages18
    Publication statusPublished - 1995
    SeriesFracture and Dynamics
    Number67
    VolumeR9532
    ISSN1395-7953

    Bibliographical note

    Presented (partly) at the 14th Internatinal Modal Analysis Conference Dearborn, Michigan, USA, February 12-15, 1996

    PDF for print: 24 pp

    Keywords

    • Random Decrement
    • Frequency Response
    • Linear System

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