Primary Resonance Behaviour of a Nonlinear, Viscoelastic Model of Expanded Polymer Cushion Material

Gregory S. Batt, James M. Gibert, Mohammed Daqaq

    Research output: Contribution to journalArticle

    Abstract

    This manuscript highlights an analytical solution to a nonlinear, viscoelastic model of expanded polymer foam. The governing partial differential equation is discretized into a single-mode nonlinear ordinary differential equation (ODE). Solution of the nonlinear ODE is analytically approximated using the method of multiple scales. Comparison to experimental data reveals that the single-mode analytical solution is capable of capturing the nonlinear bending behaviour missed by a previously solved linearized model. It is also shown that limitations due to the system-identification data-collection method affect the ability of the model to capture the degree of nonlinearity present at lower strain levels. While this limitation has no observable effect on the previously studied linearized system response, nonlinear modelling can benefit from further work performed in the low strain characterization of expanded polymer foam. Lastly, the nonlinear solution is used to study the effect of varying excitation acceleration and static stress on the frequency response of expanded polymer foam.

    Original languageEnglish (US)
    Pages (from-to)694-709
    Number of pages16
    JournalPackaging Technology and Science
    Volume28
    Issue number8
    DOIs
    StatePublished - Jan 1 2015

    Fingerprint

    Foams
    Polymers
    Ordinary differential equations
    Partial differential equations
    Frequency response
    Identification (control systems)

    Keywords

    • cushion
    • method of multiple scales
    • nonlinear
    • vibration
    • viscoelastic

    ASJC Scopus subject areas

    • Chemistry(all)
    • Materials Science(all)
    • Mechanical Engineering

    Cite this

    Primary Resonance Behaviour of a Nonlinear, Viscoelastic Model of Expanded Polymer Cushion Material. / Batt, Gregory S.; Gibert, James M.; Daqaq, Mohammed.

    In: Packaging Technology and Science, Vol. 28, No. 8, 01.01.2015, p. 694-709.

    Research output: Contribution to journalArticle

    Batt, Gregory S. ; Gibert, James M. ; Daqaq, Mohammed. / Primary Resonance Behaviour of a Nonlinear, Viscoelastic Model of Expanded Polymer Cushion Material. In: Packaging Technology and Science. 2015 ; Vol. 28, No. 8. pp. 694-709.
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