Identification of a continuous structure with discrete non-linear components using an extended modal model

M. F. Platten, J. R. Wright, J. E. Cooper

    Research output: Chapter in Book/Conference proceedingConference contribution

    Abstract

    The Non-Linear Resonant Decay Method (NL-RDM) identifies a model based in linear modal space comprising the underlying linear system and a small number of additional terms that represent the nonlinear behaviour. The method is applied to a 'wing / store' structure which consists of a rectangular 'wing' with two 'stores' suspended beneath it and able to rotate on non-linear springs with a nominally hardening characteristic. The basic system is identified using classical modal methods and it is shown that the natural frequencies actually decrease initially with increasing excitation, consistent with softening non-linearity. On closer inspection, it is seen that the non-linearity subsequently hardens significantly, so the non-linear mechanism is actually of a combined softening / hardening stiffness type. The NL-RDM is applied to the model using two shakers and non-linear terms identified for the first four modes; the first three modes show a clear direct cubic stiffness term but no evidence of softening behavior.
    Original languageEnglish
    Title of host publicationProceedings of the 2004 International Conference on Noise and Vibration Engineering, ISMA|Proc. Int. Conf. Noise Vib. Eng. ISMA
    EditorsP. Sas, M. Munck
    Pages2155-2168
    Number of pages13
    Publication statusPublished - 2004
    EventProceedings of the 2004 International Conference on Noise and Vibration Engineering, ISMA - Leuven
    Duration: 1 Jul 2004 → …

    Conference

    ConferenceProceedings of the 2004 International Conference on Noise and Vibration Engineering, ISMA
    CityLeuven
    Period1/07/04 → …

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