In this paper, we have provided a nondimensional analysis that shows the response of HSLDS mounts subject to harmonic excitation, relative to an equivalent linear system to demonstrate the effects of nonlinearity. We have introduced two parameters, equilibrium stiffness and reduced stiffness range that give an accurate characterisation of HSLDS mounts' static force-displacement curves, and shown that they have important effects on response. Using these parameters we have shown that a fifth-order polynomial response can accurately represent much of the design space for mounts that have non-polynomial responses, and that this can give much greater realism at higher amplitudes than a Duffing response. We have seen that at small response amplitudes the equilibrium stiffness dominates the peak response frequency of the mount, whilst at higher amplitudes the reduced stiffness range becomes important. We have shown how plotting a backbone curve on a limit curve map is a simple graphical means of understanding these effects. We have shown that in the case of displacement response to harmonic base excitation, the HSDLS mount will always reduce both peak amplitude and peak frequency within limits of excitation amplitude. However, the base excitation case can experience sudden increases in peak response amplitude and frequency in response to small changes in system parameters, or even lead to unbounded response. The shape of the force-displacement curve, as characterised by equilibrium stiffness and reduced stiffness range, is critical in predicting these effects. We provide a limiting ratio of excitation to damping below which the unbounded response cannot occur. In the case where the mount is excited by a harmonic force signal acting upon the mass, we show that reducing the peak frequency will always lead to an increase in peak displacement response amplitude for any forcing level, meaning that there is less advantage to using the HSLDS when the amplitude response to forced excitation is of primary concern. However, this case does not suffer from the same high parameter sensitivity and possible unbounded response that can affect the base motion case. The analysis also provides estimates of harmonic responses of the HSLDS mount. Harmonics are small in the cases studied, suggesting that harmonics are seldom the limiting design factor for an HSLDS mount. We have shown with numerical simulation that the analysis is accurate at the fundamental frequency and third harmonics (providing assumptions are adhered to), although fifth harmonic predictions often have poor accuracy.


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    Titel :

    Dynamic analysis of high static low dynamic stiffness vibration isolation mounts


    Weitere Titelangaben:

    Dynamische Analyse von Schwingungsisolationselementen mit hoher statischer und niedriger dynamischer Steifigkeit


    Beteiligte:
    Shaw, A.D. (Autor:in) / Neild, S.A. (Autor:in) / Wagg, D.J. (Autor:in)

    Erschienen in:

    Journal of Sound and Vibration ; 332 , 6 ; 1437-1455


    Erscheinungsdatum :

    2013


    Format / Umfang :

    19 Seiten, 14 Bilder, 19 Quellen




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch